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  • Oscar Rondon

  • Contenido

    Oscar Rondon

  • Variograma Terico-DefinicinEs una herramienta que permite analizar el comportamiento espacial de una propiedad o variable sobre una zona dada

    Oscar Rondon

  • ABMEDIA = 5

    VARIANZA=50/9

    HISTOGRAMAS IGUALESVariograma Terico-DefinicinContinuidad espacial

    Oscar Rondon

  • Variograma Terico-DefinicinContinuidad espacial

    Oscar Rondon

  • Variograma Terico-DefinicinContinuidad espacial

    Oscar Rondon

  • Variograma Terico-DefinicinCurva de proporcin vertical

    Oscar Rondon

  • Variograma Terico-DefinicinCurva de proporcin vertical

    Oscar Rondon

  • Variograma Terico-Definicin

    Oscar Rondon

  • Variograma Terico-Caractersticas

    Oscar Rondon

  • Deteccin de caractersticas que varan segn la direccin y la distanciaVariograma Terico-Caractersticas

    Oscar Rondon

  • Variograma Terico-Caractersticas

    Oscar Rondon

  • Variograma Experimental-definicin Variograma TericoVariograma Experimental

    Oscar Rondon

  • Variograma Experimental-definicin Coordenadas estratigraficas La correlacin espacial se debe calcular dentro de la misma unidad estratigrfica

    Oscar Rondon

  • Se escoge una distancia o lag h Variograma Experimental-obtencin

    Oscar Rondon

    Grfico8

    0.80296050040.6

    0.8246423011.2140731004

    1.36098901441.7338747577

    2.14187926752.1738773611

    2.32660916782.5463315239

    2.80747282762.861607166

    2.97315709433.1284822353

    3.71418279943.3543871043

    3.70814485523.5456114475

    3.54356734743.7074793594

    3.6464293323.8444975886

    3.86185091923.9604810157

    3.87760536044.0586588671

    4.64055413544.141764624

    4.61349715234.2121121285

    4.03021186064.2716600055

    4.59415510174.3220661951

    4.57750855464.3647341134

    4.8490836454.4008517265

    4.35743415464.431424626

    4.31229814434.4573040266

    Variograma experimental

    Modelo de variograma

    Distancia

    variograma experimental

    Hoja1

    0.200.802960500400.80296050040.641

    0.20.09956531330.72507698770.8246423011.2140731004

    0.40.04226919851.31871981591.36098901441.7338747577

    0.60.33712581181.80475345562.14187926752.1738773611

    0.80.12392502432.20268414352.32660916782.5463315239

    10.27899059232.52848223532.80747282762.861607166

    1.20.17793394192.79522315242.97315709433.1284822353

    1.40.70057065513.01361214423.71418279943.3543871043

    1.60.51573092723.1924139283.70814485523.5456114475

    1.80.20476290033.33880444713.54356734743.7074793594

    20.1877704653.45865886713.6464293323.8444975886

    2.20.30506355263.55678736663.86185091923.9604810157

    2.40.24047717363.63712818683.87760536044.0586588671

    2.60.93764844833.70290568714.64055413544.141764624

    2.80.85673740283.75675974954.61349715234.2121121285

    30.22936013413.80085172654.03021186064.2716600055

    3.20.75720391763.83695118414.59415510174.3220661951

    3.40.71100163443.86650692024.57750855464.3647341134

    3.60.95837853483.89070511024.8490836454.4008517265

    3.80.4469172423.91051691264.35743415464.431424626

    40.38556069993.92673744444.31229814434.4573040266

    4.20.4295994083.94001769274.36961710070.8029605004

    4.40.20144972993.95089064044.15234037030.824642301

    4.60.04346104653.9597926574.00325370361.3609890144

    4.80.43660146053.96708101184.40368247232.1418792675

    50.46860735523.9730482124.44165556722.3266091678

    5.20.29849888213.97793374234.27643262442.8074728276

    5.40.16318437333.98193367624.14511804952.9731570943

    5.60.23939384963.98520854514.22460239483.7141827994

    5.80.1926607623.9878897814.18055054313.7081448552

    60.22700742913.99008499134.21709242043.5435673474

    6.20.04562517263.99188227754.037507453.646429332

    6.40.19048342383.99335377094.18383719473.8618509192

    6.60.34336822413.99455852784.3379267523.8776053604

    6.80.32499262093.99554489944.32053752034.6405541354

    70.3581932883.99635247214.35454576024.6134971523

    7.20.42194515413.99701365684.41895881094.0302118606

    7.40.02902217973.9975549894.02657716874.5941551017

    7.60.13249060943.99799819434.13048880374.5775085546

    7.80.29593861313.99836106014.29429967324.849083645

    80.01878246853.99865814954.0174406184.3574341546

    8.20.06828646293.99890138574.06718784864.3122981443

    8.40.24701526663.99910053074.2461157973

    8.60.04259633543.99926357684.0418599122

    8.80.44427297643.99939706774.4436700441

    90.31056459833.99950636084.3100709591

    9.20.16058337873.99959584244.1601792211

    9.40.19502548943.99966910374.1946945931

    9.60.4509949633.99972908514.4507240481

    9.80.3271955473.99977819364.3269737406

    100.49313100243.99981840034.4929494027

    10.20.14523779423.99985131874.1450891129

    10.40.4860401973.99987827014.485918467

    10.60.006437963.9999003364.0063382959

    10.80.33286817733.9999184024.3327865793

    110.20403269433.99993319324.2039658875

    11.20.41075403873.99994530324.4106993419

    11.40.12107739473.99995521814.1210326127

    11.60.20675640693.99996333564.2067197425

    11.80.16033551553.99996998184.1603054973

    120.26076109623.99997542324.2607365193

    12.20.04038901253.99997987824.0403688907

    12.40.26615522363.99998352564.2661387492

    12.60.01611434723.99998651194.0161008591

    12.80.36466704353.99998895694.3646560004

    130.00069742833.99999095874.0006883869

    13.20.45510644313.99999259764.4550990407

    13.40.20604119143.99999393944.2060351308

    13.60.13620431823.9999950384.1361993562

    13.80.26827245163.99999593754.2682683891

    140.30941075623.99999667394.3094074301

    14.20.32870035753.99999727684.3286976344

    14.40.2718749943.99999777044.2718727644

    14.60.1899795033.99999817464.1899776776

    14.80.3943623673.99999850554.3943608724

    150.13846949723.99999877644.1384682736

    15.20.01459522673.99999899824.0145942249

    15.40.44538472943.99999917984.4453839092

    15.60.22909120963.99999932854.229090538

    15.80.01043275683.99999945024.010432207

    160.06576820343.99999954994.0657677533

    Hoja1

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    Variograma experimental

    Modelo de variograma

    Distancia

    Hoja2

    Hoja3

  • Datos Igualmente espaciados:Variograma Experimental-obtencin

    Oscar Rondon

  • Datos Igualmente espaciados:Variograma Experimental-obtencin

    Oscar Rondon

  • Datos Irregularmente espaciados: Puede ocurrir que no existan valores de la variable a la distancia hVariograma Experimental-obtencin

    Oscar Rondon

  • Variograma Experimental-distancia Clases de distancia:

    Oscar Rondon

  • Variograma Experimental-distancia Clases de distancia: Las clases de distancia no se superponen No hay valores de la variable fuera de una clase de distancia

    Oscar Rondon

  • Variograma Experimental-distancia

    Oscar Rondon

  • Variograma Experimental-distancia

    Oscar Rondon

  • Clases de direccin :Variograma Experimental-direccin

    Oscar Rondon

  • Variograma Experimental-direccin

    Oscar Rondon

  • b = ancho de bandaVariograma Experimental-direccin

    Oscar Rondon

  • Variograma Experimental-distancia & direccin

    Oscar Rondon

  • Variograma Experimental-obtencin

    Oscar Rondon

  • Variograma Experimental-obtencin

    Oscar Rondon

  • Lag h muy grandeLag h pequeo, n muy grandeVariograma Experimental-lagLag h adecuado, valor de n ?

    Oscar Rondon

  • Variograma Experimental-lag

    Oscar Rondon

  • Variograma OmnidireccionalVariograma Omnidireccional:Es aquel que no depende de la direccinsean opuestas y perpendiculares a la direccin Se puede pensar como el promedio del variograma experimental en todas las direcciones posibles

    Oscar Rondon

  • Variograma direccionalVariograma omnidireccionalVariograma Omnidireccional

    Oscar Rondon

  • Variogram CloudVariogram Cloud:Al graficar el valor de los pares versus la distancia se obtiene el variogram cloud

    Oscar Rondon

    Grfico1

    4.51.5

    0.52.4

    0.54.4444444444

    0.56.625

    0.57.5714285714

    27.3333333333

    0.5

    4.5

    0.5

    2

    0.5

    8

    2

    2

    2

    0.5

    0.5

    2

    2

    0.5

    4.5

    12.5

    4.5

    4.5

    0

    0

    8

    0.5

    8

    2

    18

    8

    0.5

    0.5

    4.5

    4.5

    4.5

    12.5

    24.5

    2

    2

    2

    2

    12.5

    8

    12.5

    4.5

    0.5

    0.5

    8

    18

    Distancia

    Hoja1

    7916253244925

    10142251649

    11119691481

    121694011001

    25121169144529196256

    144114492536

    1211001916

    1312141625

    2814936

    1149

    91

    8

    23.318181818227.633.333333333357.12528.142857142934

    791625364925

    101491649

    11149141

    12140141

    131109416

    14411692536

    12141916

    13941625

    10114

    1149

    91

    8

    2.44.44444444446.6257.57142857147.3333333333

    11.523.3181818182

    22.427.6

    34.444444444433.3333333333

    46.62557.125

    57.571428571428.1428571429

    67.333333333334

    Hoja1

    0

    0

    0

    0

    0

    0

    Distancia

    Variograma experimental

    Hoja2

    1994.54.524.5

    1110.50.5

    1110.50.5

    1169184.50.5

    1121160.50.5

    14422

    1110.50.5

    1121960.54.5

    181140.50.5

    14422

    1110.50.5

    2161688

    24422

    21964982

    24422

    2169184.50.5

    2110.50.5

    21004502

    24422

    249124.50.5

    2994.54.5

    3252512.512.5

    32259112.54.5

    3994.54.5

    30000

    31440720

    314416728

    3110.50.5

    3161688

    3364182

    43243616218

    4161688

    4110.50.5

    4110.50.5

    45299264.54.5

    4994.54.5

    4994.54.5

    4252512.512.5

    5494924.524.5

    54422

    54422

    51004502

    51964982

    5252512.512.5

    5161688

    6252512.512.5

    6994.54.5

    681140.50.5

    6110.50.5

    6256161288

    636361818

    Hoja2

    01.5

    02.4

    04.4444444444

    06.625

    07.5714285714

    07.3333333333

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    Distancia

    Hoja3

  • Variogram CloudVariogram Cloud:Permite detectar valores atpicos o cambios bruscosPermite escoger un valor inicial del lag

    Oscar Rondon

    Grfico2

    4.523.3181818182

    0.527.6

    0.533.3333333333

    84.557.125

    60.528.1428571429

    234

    0.5

    60.5

    40.5

    2

    0.5

    8

    2

    98

    2

    84.5

    0.5

    50

    2

    24.5

    4.5

    12.5

    112.5

    4.5

    0

    72

    72

    0.5

    8

    18

    162

    8

    0.5

    0.5

    264.5

    4.5

    4.5

    12.5

    24.5

    2

    2

    50

    98

    12.5

    8

    12.5

    4.5

    40.5

    0.5

    128

    18

    Distancia

    Hoja1

    7916253244925

    10142251649

    11119691481

    121694011001

    25121169144529196256

    144114492536

    1211001916

    1312141625

    2814936

    1149

    91

    8

    23.318181818227.633.333333333357.12528.142857142934

    791625364925

    101491649

    11149141

    12140141

    131109416

    14411692536

    12141916

    13941625

    10114

    1149

    91

    8

    2.44.44444444446.6257.57142857147.3333333333

    11.523.3181818182

    22.427.6

    34.444444444433.3333333333

    46.62557.125

    57.571428571428.1428571429

    67.333333333334

    Hoja1

    0

    0

    0

    0

    0

    0

    Distancia

    Variograma experimental

    Hoja2

    1994.54.524.5

    1110.50.5

    1110.50.5

    1169184.50.5

    1121160.50.5

    14422

    1110.50.5

    1121960.54.5

    181140.50.5

    14422

    1110.50.5

    2161688

    24422

    21964982

    24422

    2169184.50.5

    2110.50.5

    21004502

    24422

    249124.50.5

    2994.54.5

    3252512.512.5

    32259112.54.5

    3994.54.5

    30000

    31440720

    314416728

    3110.50.5

    3161688

    3364182

    43243616218

    4161688

    4110.50.5

    4110.50.5

    45299264.54.5

    4994.54.5

    4994.54.5

    4252512.512.5

    5494924.524.5

    54422

    54422

    51004502

    51964982

    5252512.512.5

    5161688

    6252512.512.5

    6994.54.5

    681140.50.5

    6110.50.5

    6256161288

    636361818

    Hoja2

    23.3181818182

    27.6

    33.3333333333

    57.125

    28.1428571429

    34

    Distancia

    Hoja3

  • Variogram Cloud

    Oscar Rondon

  • Mapa de VariogramaMapa de Variograma :Es una herramienta que permite determinar las direcciones de anisotropa de la variable en estudio

    Oscar Rondon

  • Mapa de VariogramaDefinir una malla (2n+1)*(2n+1)Definir el valor del lag h

    Oscar Rondon

  • Mapa de Variograma

    Oscar Rondon

  • Variograma Experimental-tolerancia angularTolerancia angular

    Oscar Rondon

  • Oscar Rondon

  • Variograma-Caractersticas Bsicas

    Oscar Rondon

  • Variograma-Rango & Sill

    Oscar Rondon

    Grfico1

    0

    0.1211738744

    0.2350061948

    0.3419417636

    0.4423984339

    0.5367687421

    0.6254214424

    0.7087029471

    0.7869386806

    0.8604343505

    0.929477143

    0.9943368441

    1.0552668945

    1.1125053798

    1.1662759606

    1.2167887466

    1.2642411177

    1.3088184948

    1.3506950653

    1.3900344626

    1.4269904063

    1.4617073025

    1.4943208084

    1.5249583618

    1.5537396797

    1.5807772257

    1.6061766496

    1.6300372002

    1.6524521131

    1.6735089751

    1.6932900663

    1.7118726818

    1.7293294335

    1.7457285341

    1.7611340635

    1.775606219

    1.7892015509

    1.8019731833

    1.8139710216

    1.8252419476

    1.8358300028

    1.8457765601

    1.8551204859

    1.8638982919

    1.8721442776

    1.8798906642

    1.887167721

    1.8940038832

    1.9004258633

    1.9064587552

    1.9121261328

    1.9174501412

    1.9224515843

    1.9271500053

    1.9315637634

    1.9357101053

    1.9396052332

    1.9432643671

    1.9467018053

    1.9499309797

    1.9529645083

    1.9558142447

    1.9584913243

    1.9610062078

    1.9633687222

    1.9655880991

    1.9676730108

    1.9696316041

    1.9714715322

    1.9731999847

    1.9748237155

    1.9763490695

    1.9777820069

    1.9791281271

    1.9803926899

    1.9815806368

    1.9826966096

    1.983744969

    1.9847298116

    1.9856549855

    1.986524106

    1.9873405691

    1.9881075653

    1.9888280915

    1.9895049632

    1.9901408253

    1.9907381625

    1.9912993089

    1.9918264571

    1.9923216671

    1.9927868737

    1.993223895

    1.9936344384

    1.9940201083

    1.9943824116

    1.9947227641

    1.9950424956

    1.9953428557

    1.9956250178

    1.9958900845

    1.9961390917

    1.9963730123

    1.9965927604

    1.9967991946

    1.9969931216

    1.9971752992

    1.9973464391

    1.9975072103

    1.9976582408

    1.9978001208

    1.9979334047

    1.9980586134

    1.9981762361

    1.9982867323

    1.998390534

    1.9984880466

    1.9985796512

    1.9986657058

    1.9987465466

    1.9988224895

    1.9988938313

    1.9989608506

    1.9990238095

    1.9990829539

    1.9991385149

    1.9991907097

    1.9992397421

    1.9992858038

    1.9993290747

    1.9993697241

    1.9994079105

    1.9994437834

    1.9994774829

    1.9995091406

    1.9995388803

    1.9995668181

    1.9995930633

    1.9996177183

    1.9996408796

    1.9996626376

    1.9996830773

    1.9997022787

    1.9997203167

    1.9997372619

    1.9997531804

    1.9997681344

    1.9997821825

    1.9997953794

    1.9998077767

    1.9998194229

    1.9998303635

    1.9998406413

    1.9998502963

    1.9998593664

    1.999867887

    1.9998758913

    1.9998834107

    1.9998904745

    1.9998971103

    1.9999033441

    1.9999092001

    1.9999147014

    1.9999198694

    1.9999247243

    1.999929285

    1.9999335694

    1.9999375942

    1.9999413752

    1.9999449271

    1.9999482638

    1.9999513983

    1.999954343

    1.9999571092

    1.9999597078

    1.999962149

    1.9999644423

    1.9999665966

    1.9999686204

    1.9999705216

    Distancia

    Variograma

    Hoja1

    240000000

    0.10.0250.00875-0.00027343750.0000000684-00.0084766309

    0.20.050.035-0.00218750.0000021875-0.00000000120.0328146863

    0.30.0750.07875-0.00738281250.0000166113-0.000000020.0713837788

    0.40.10.14-0.01750.00007-0.000000150.12256985

    0.50.1250.21875-0.03417968750.000213623-0.00000071530.1847832203

    0.60.150.315-0.05906250.0005315625-0.00000256290.2564664996

    0.70.1750.42875-0.09378906250.001148916-0.00000753980.3361023138

    0.80.20.56-0.140.00224-0.00001920.4222208

    0.90.2250.70875-0.19933593750.0040365527-0.00004378940.5134068258

    10.250.875-0.27343750.0068359375-0.00009155270.6083068848

    1.10.2751.05875-0.36394531250.0110093457-0.00017841040.7056356228

    1.20.31.26-0.47250.01701-0.000328050.80418195

    1.30.3251.47875-0.60074218750.0253813574-0.00057447980.9028146901

    1.40.351.715-0.75031250.0367653125-0.00096508951.000487723

    1.50.3751.96875-0.92285156250.0519104004-0.00156426431.0962445736

    1.60.42.24-1.120.07168-0.00245761.1892224

    1.70.4252.52875-1.34339843750.0970605371-0.00375676281.2786553369

    1.80.452.835-1.59468750.1291696875-0.00560504181.3638771457

    1.90.4753.15875-1.87550781250.1692645801-0.00818364021.4443231274

    20.53.5-2.18750.21875-0.011718751.51953125

    2.10.5253.85875-2.53230468750.2791865918-0.01648945811.5891424462

    2.20.554.235-2.91156250.3522990625-0.02283652851.652900034

    2.30.5754.62875-3.32691406250.4399843848-0.0311721081.7106482143

    2.40.65.04-3.780.54432-0.04199041.7623296

    2.50.6255.46875-4.27246093750.6675720215-0.05587935451.8079817295

    2.60.655.915-4.80593750.8122034375-0.07353341841.8477325191

    2.70.6756.37875-5.38207031250.9808823145-0.09576739381.8817946081

    2.80.76.86-6.00251.17649-0.123531451.91045855

    2.90.7257.35875-6.66886718751.4021293262-0.15792733441.9340848043

    30.757.875-7.38281251.6611328125-0.20022583011.9530944824

    3.10.7758.40875-8.14597656251.9570708691-0.25188550521.9679588015

    3.20.88.96-8.962.29376-0.31457281.9791872

    3.30.8259.52875-9.82652343752.6752710059-0.39018349891.9873140694

    3.40.8510.115-10.74718753.1059371875-0.48086563241.9928840551

    3.50.87510.71875-11.72363281253.5903625488-0.58904385571.9964358807

    3.60.911.34-12.75754.13343-0.717445351.99848465

    3.70.92511.97875-13.85042968754.7403095605-0.86912729311.99950258

    3.80.9512.635-15.00406255.4164665625-1.04750594411.9998981184

    3.90.97513.30875-16.22003906256.1676698535-1.25638739021.9999934008

    4114-17.57-1.52

    4.11.02514.70875-18.84558593757.9198574902-1.78302863052

    4.21.0515.435-20.25843758.9339709375-2.1106506342

    4.31.07516.17875-21.740195312510.0494052832-2.48857371012

    4.41.116.94-23.292511.27357-2.923075652

    4.51.12517.71875-24.916992187512.6142272949-3.42104601862

    4.61.1518.515-26.615312514.0795003125-3.99002982072

    4.71.17519.32875-28.389101562515.6778813379-4.63827319762

    4.81.220.16-30.2417.41824-5.37477122

    4.91.22521.00875-32.169648437519.3098314746-6.20931768362

    51.2521.875-34.179687521.3623046875-7.1525573732

    5.11.27522.75875-36.271757812523.5857105176-8.21604014152

    5.21.323.66-38.447525.99051-9.412277552

    5.31.32524.57875-40.708554687528.5875825293-10.75480169532

    5.41.3525.515-43.056562531.3882340625-12.25822640982

    5.51.37526.46875-45.493164062534.4042053223-13.93831086162

    5.61.427.44-48.0237.64768-15.81202562

    5.71.42528.42875-50.638710937541.131292959-17.89762109252

    5.81.4529.435-53.350937544.8681384375-20.21469879962

    5.91.47530.45875-56.158320312548.871778252-22.78428483422

    61.531.5-59.062553.15625-25.628906252

    6.11.52532.55875-62.065117187557.7360752637-28.77267000752

    6.21.5533.635-65.167812562.6262678125-32.24134466132

    6.31.57534.72875-68.372226562567.8423418066-36.06244481662

    6.41.635.84-71.6873.40032-40.26531842

    6.51.62536.96875-75.092773437579.3167419434-44.88123679162

    6.651.77544.10875-97.8662890625123.335990791-83.268311997

    6.81.92551.87875-124.8332421875185.0340732324-146.9286187761

    6.952.07560.27875-156.3480078125269.2703564551-248.437966824

    7.12.22569.30875-192.7649609375381.7228138965-404.9499654742

    7.252.37578.96875-234.4384765625528.9518127441-639.3468897343

    7.42.52589.25875-281.7229296875718.4639014355-981.569231055

    7.552.675100.17875-334.9726953125958.7755971582-1470.1368498032

    7.72.825111.72875-394.54214843751259.4771733496-2153.8746464064

    7.852.975123.90875-460.78566406251631.2964471973-3093.8556681376

    83.125136.71875-534.05761718752086.1625671387-4365.57456851

    8.153.275150.15875-614.71238281252637.2698003613-6061.3643362501

    8.33.425164.22875-703.10433593753299.1413203027-8293.0692108163

    8.453.575178.92875-799.58785156254087.6929941504-11194.9867014349

    8.63.725194.25875-904.51730468755020.2971703418-14927.0916266193

    8.753.875210.21875-1018.24707031256115.8464660644-19678.5550911425

    Hoja1

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    Distancia

    Variograma

    Hoja2

    0.2500048

    0.250.00032550490.1211738744

    0.50.0013018290.2350061948

    0.750.00292840030.3419417636

    10.00520426580.4423984339

    1.250.00812809250.5367687421

    1.50.01169816790.6254214424

    1.750.01591240140.7087029471

    20.0207683260.7869386806

    2.250.02626309940.8604343505

    2.50.03239350670.929477143

    2.750.03915596210.9943368441

    30.04654651151.0552668945

    3.250.05456083571.1125053798

    3.50.06319425281.1662759606

    3.750.07244172161.2167887466

    40.08229784561.2642411177

    4.250.0927568761.3088184948

    4.50.10381271631.3506950653

    4.750.11545892631.3900344626

    50.12768872661.4269904063

    5.250.14049500321.4617073025

    5.50.15387031271.4943208084

    5.750.16780688721.5249583618

    60.18229663991.5537396797

    6.250.19733117071.5807772257

    6.50.21290177171.6061766496

    6.750.22899943361.6300372002

    70.2456148521.6524521131

    7.250.26273843351.6735089751

    7.50.28036030241.6932900663

    7.750.29847030781.7118726818

    80.31705803041.7293294335

    8.250.33611278971.7457285341

    8.50.35562365151.7611340635

    8.750.37557943511.775606219

    90.39596872161.7892015509

    9.250.41677986111.8019731833

    9.50.43800098121.8139710216

    9.750.4596199951.8252419476

    100.4816246091.8358300028

    10.250.50400233251.8457765601

    10.50.5267404851.8551204859

    10.750.54982620591.8638982919

    110.57324646251.8721442776

    11.250.59698805941.8798906642

    11.50.62103764741.887167721

    11.750.64538173231.8940038832

    120.67000668451.9004258633

    12.250.69489874821.9064587552

    12.50.72004405031.9121261328

    12.750.74542861051.9174501412

    130.77103835011.9224515843

    13.250.7968591021.9271500053

    13.50.822876621.9315637634

    13.750.84907658851.9357101053

    140.87544463211.9396052332

    14.250.90196632541.9432643671

    14.50.92862720241.9467018053

    14.750.95541276641.9499309797

    150.98230849961.9529645083

    15.251.00929987291.9558142447

    15.51.03637235521.9584913243

    15.751.06351142381.9610062078

    161.09070257321.9633687222

    16.251.11793132511.9655880991

    16.51.1451832381.9676730108

    16.751.17244391661.9696316041

    171.19969902131.9714715322

    17.251.22693427751.9731999847

    17.51.2541354851.9748237155

    17.751.28128852731.9763490695

    181.30837938051.9777820069

    18.251.3353941231.9791281271

    18.51.36231894371.9803926899

    18.751.38914015151.9815806368

    191.41584418361.9826966096

    19.251.44241761481.983744969

    19.51.46884716521.9847298116

    19.751.49511970961.9856549855

    201.52122228471.986524106

    20.251.54714209831.9873405691

    20.51.57286653661.9881075653

    20.751.59838317241.9888280915

    211.62367977251.9895049632

    21.251.64874430561.9901408253

    21.51.67356494951.9907381625

    21.751.69813009831.9912993089

    221.72242836941.9918264571

    22.251.74644861051.9923216671

    22.51.77017990611.9927868737

    22.751.79361158411.993223895

    231.8167332221.9936344384

    23.251.8395346531.9940201083

    23.51.86200597191.9943824116

    23.751.88413754081.9947227641

    241.90591999461.9950424956

    24.251.92734424611.9953428557

    24.51.94840149111.9956250178

    24.751.96908321341.9958900845

    251.9893811891.9961390917

    25.252.00928749091.9963730123

    25.52.0287944931.9965927604

    25.752.04789487411.9967991946

    262.06658162121.9969931216

    26.252.08484803381.9971752992

    26.52.10268772591.9973464391

    26.752.12009463031.9975072103

    272.13706299991.9976582408

    27.252.15358741161.9978001208

    27.52.16966276731.9979334047

    27.752.18528429671.9980586134

    282.20044755871.9981762361

    28.252.21514844281.9982867323

    28.52.22938317081.998390534

    28.752.24314829731.9984880466

    292.25644071061.9985796512

    29.252.26925763351.9986657058

    29.52.2815966231.9987465466

    29.752.2934555711.9988224895

    302.30483270331.9988938313

    30.252.315726581.9989608506

    30.52.32613609391.9990238095

    30.752.33606047031.9990829539

    312.34549926521.9991385149

    31.252.35445236411.9991907097

    31.52.36291998061.9992397421

    31.752.37090265411.9992858038

    322.37840124771.9993290747

    32.252.38541694591.9993697241

    32.52.39195125231.9994079105

    32.752.39800598611.9994437834

    332.40358327981.9994774829

    33.252.40868557521.9995091406

    33.52.41331562071.9995388803

    33.752.41747646671.9995668181

    342.42117146271.9995930633

    34.252.42440425231.9996177183

    34.52.42717876931.9996408796

    34.752.42949923341.9996626376

    352.43137014511.9996830773

    35.252.43279628071.9997022787

    35.52.43378268791.9997203167

    35.752.43433467981.9997372619

    362.43445783011.9997531804

    36.252.43415796681.9997681344

    36.52.43344116711.9997821825

    36.752.4323137511.9997953794

    372.43078227571.9998077767

    37.252.42885352861.9998194229

    37.52.42653452171.9998303635

    37.752.42383248481.9998406413

    382.42075485851.9998502963

    38.252.4173092881.9998593664

    38.52.41350361591.999867887

    38.752.40934587491.9998758913

    392.40484428131.9998834107

    39.252.40000722731.9998904745

    39.52.39484327371.9998971103

    39.752.38936114261.9999033441

    402.38356970991.9999092001

    40.252.37747799751.9999147014

    40.52.37109516591.9999198694

    40.752.36443050621.9999247243

    412.35749343261.999929285

    41.252.35029347411.9999335694

    41.52.3428402671.9999375942

    41.752.33514354691.9999413752

    422.32721314041.9999449271

    42.252.31905895741.9999482638

    42.52.31069098291.9999513983

    42.752.30211926931.999954343

    432.29335392761.9999571092

    43.252.284405121.9999597078

    43.52.27528305151.999962149

    43.752.26599796211.9999644423

    442.25656011841.9999665966

    44.252.24697980581.9999686204

    44.52.23726732041.9999705216

    Hoja2

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    Distancia

    Variograma

    Hoja3

  • Si para una distancia dada d las variables Z(x) y Z(x+h) son no correlacionas entonces el variograma es constanteRango: Distancia a partir de la cual no hay correlacinSill:Varianza de la funcin aleatoria ZVariograma-Rango & Sill

    Oscar Rondon

  • Variograma-Rango & Sill

    Oscar Rondon

  • COMPORTAMIENTO A PEQUEAS DISTANCIASComportamiento1) DISCONTINUO2) LINEAL3) CUADRTICOPermite estudiar cun rpido puede variar la variable en estudio a pequeas distancias. Bsicamente el variograma presenta las 4 formas siguientes:4) HBRIDOS

    Oscar Rondon

  • Comportamiento discontinuo Puede ocurrir que para distancias cercanas a cero el valor del variograma no se aproxima a ceroEfecto pepita o nugget effect

    Oscar Rondon

  • Comportamiento discontinuo Interpretacin del nugget effect1) Variable muy irregular a distancias cortas Z(x) y Z(x+h) difieren muchono se aproxima a cero

    Oscar Rondon

  • Interpretacin del nugget effect2) Errores de medicin en las variablesComportamiento discontinuo

    Oscar Rondon

    Grfico1

    10

    1.23500619480.2350061948

    1.44239843390.4423984339

    1.62542144240.6254214424

    1.78693868060.7869386806

    1.9294771430.929477143

    2.05526689451.0552668945

    2.16627596061.1662759606

    2.26424111771.2642411177

    2.35069506531.3506950653

    2.42699040631.4269904063

    2.49432080841.4943208084

    2.55373967971.5537396797

    2.60617664961.6061766496

    2.65245211311.6524521131

    2.69329006631.6932900663

    2.72932943351.7293294335

    2.76113406351.7611340635

    2.78920155091.7892015509

    2.81397102161.8139710216

    2.83583000281.8358300028

    2.85512048591.8551204859

    2.87214427761.8721442776

    2.8871677211.887167721

    2.90042586331.9004258633

    2.91212613281.9121261328

    2.92245158431.9224515843

    2.93156376341.9315637634

    2.93960523321.9396052332

    2.94670180531.9467018053

    2.95296450831.9529645083

    2.95849132431.9584913243

    2.96336872221.9633687222

    2.96767301081.9676730108

    2.97147153221.9714715322

    2.97482371551.9748237155

    2.97778200691.9777820069

    Valores observados

    Valores reales

    Distancia

    Variograma

    Hoja1

    0.5024011

    0.50.23500619481.2350061948

    10.44239843391.4423984339

    1.50.62542144241.6254214424

    20.78693868061.7869386806

    2.50.9294771431.929477143

    31.05526689452.0552668945

    3.51.16627596062.1662759606

    41.26424111772.2642411177

    4.51.35069506532.3506950653

    51.42699040632.4269904063

    5.51.49432080842.4943208084

    61.55373967972.5537396797

    6.51.60617664962.6061766496

    71.65245211312.6524521131

    7.51.69329006632.6932900663

    81.72932943352.7293294335

    8.51.76113406352.7611340635

    91.78920155092.7892015509

    9.51.81397102162.8139710216

    101.83583000282.8358300028

    10.51.85512048592.8551204859

    111.87214427762.8721442776

    11.51.8871677212.887167721

    121.90042586332.9004258633

    12.51.91212613282.9121261328

    131.92245158432.9224515843

    13.51.93156376342.9315637634

    141.93960523322.9396052332

    14.51.94670180532.9467018053

    151.95296450832.9529645083

    15.51.95849132432.9584913243

    161.96336872222.9633687222

    16.51.96767301082.9676730108

    171.97147153222.9714715322

    17.51.97482371552.9748237155

    181.97778200692.9777820069

    Hoja1

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    Valores observados

    Valores reales

    Distancia

    Variograma

    Hoja2

    Hoja3

  • Interpretacin del nugget effectComportamiento discontinuo 3) presencia de estructuras o ausencia de valores en distancias inferiores a las que se tomaron las muestras

    Oscar Rondon

  • Comportamiento Lineal Comportamiento linealIndica que para distancias pequeas, el variograma tiene un comportamiento lineal.Representa variables continuas pero no diferenciables. As, la propiedad puede cambiar rpidamente de un punto a otro.

    Oscar Rondon

    Grfico2

    00

    0.44239843390.5

    0.78693868061

    1.05526689451.5

    1.26424111772

    1.42699040632.5

    1.55373967973

    1.6524521131

    1.7293294335

    1.7892015509

    1.8358300028

    1.8721442776

    1.9004258633

    1.9224515843

    1.9396052332

    1.9529645083

    1.9633687222

    1.9714715322

    1.9777820069

    1.9826966096

    1.986524106

    1.9895049632

    1.9918264571

    1.9936344384

    1.9950424956

    1.9961390917

    1.9969931216

    1.9976582408

    1.9981762361

    1.9985796512

    1.9988938313

    1.9991385149

    1.9993290747

    1.9994774829

    1.9995930633

    1.9996830773

    1.9997531804

    Valores reales

    Distancia

    Variograma

    Hoja1

    0.50220110

    0.50.44239843391.44239843390.2350061948

    10.78693868061.78693868060.4423984339

    1.51.05526689452.05526689450.6254214424

    21.26424111772.26424111770.7869386806

    2.51.42699040632.42699040630.929477143

    31.55373967972.55373967971.0552668945

    3.51.65245211312.65245211311.1662759606

    41.72932943352.72932943351.2642411177

    4.51.78920155092.78920155091.3506950653

    51.83583000282.83583000281.4269904063

    5.51.87214427762.87214427761.4943208084

    61.90042586332.90042586331.5537396797

    6.51.92245158432.92245158431.6061766496

    71.93960523322.93960523321.6524521131

    7.51.95296450832.95296450831.6932900663

    81.96336872222.96336872221.7293294335

    8.51.97147153222.97147153221.7611340635

    91.97778200692.97778200691.7892015509

    9.51.98269660962.98269660961.8139710216

    101.9865241062.9865241061.8358300028

    10.51.98950496322.98950496321.8551204859

    111.99182645712.99182645711.8721442776

    11.51.99363443842.99363443841.887167721

    121.99504249562.99504249561.9004258633

    12.51.99613909172.99613909171.9121261328

    131.99699312162.99699312161.9224515843

    13.51.99765824082.99765824081.9315637634

    141.99817623612.99817623611.9396052332

    14.51.99857965122.99857965121.9467018053

    151.99889383132.99889383131.9529645083

    15.51.99913851492.99913851491.9584913243

    161.99932907472.99932907471.9633687222

    16.51.99947748292.99947748291.9676730108

    171.99959306332.99959306331.9714715322

    17.51.99968307732.99968307731.9748237155

    181.99975318042.99975318041.9777820069

    Hoja1

    00

    00

    00

    00

    00

    00

    00

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    Valores reales

    Distancia

    Variograma

    Hoja2

    00

    0.50.929477143

    11.0552668945

    1.51.1662759606

    21.4269904063

    2.51.4943208084

    31.5537396797

    3.51.6061766496

    41.6524521131

    4.51.6932900663

    51.7293294335

    5.51.7611340635

    61.7892015509

    6.51.8139710216

    71.8358300028

    7.51.8551204859

    81.8721442776

    8.51.887167721

    91.9004258633

    9.51.9121261328

    101.9224515843

    10.51.9315637634

    111.9396052332

    11.51.9467018053

    121.9529645083

    12.51.9584913243

    131.9633687222

    13.51.9676730108

    141.9714715322

    14.51.9748237155

    151.9777820069

    15.5

    16

    16.5

    17

    17.5

    18

    Hoja3

  • Comportamiento linealLa variabilidad de la propiedad depender de la pendiente de la recta en el origenA mayor pendiente, mayor variabilidadA menor pendiente, menor variabilidadComportamiento Lineal

    Oscar Rondon

    Grfico2

    00

    0.44239843390.5

    0.78693868061

    1.05526689451.5

    1.26424111772

    1.42699040632.5

    1.55373967973

    1.6524521131

    1.7293294335

    1.7892015509

    1.8358300028

    1.8721442776

    1.9004258633

    1.9224515843

    1.9396052332

    1.9529645083

    1.9633687222

    1.9714715322

    1.9777820069

    1.9826966096

    1.986524106

    1.9895049632

    1.9918264571

    1.9936344384

    1.9950424956

    1.9961390917

    1.9969931216

    1.9976582408

    1.9981762361

    1.9985796512

    1.9988938313

    1.9991385149

    1.9993290747

    1.9994774829

    1.9995930633

    1.9996830773

    1.9997531804

    Valores reales

    Distancia

    Variograma

    Hoja1

    0.50220110

    0.50.44239843391.44239843390.2350061948

    10.78693868061.78693868060.4423984339

    1.51.05526689452.05526689450.6254214424

    21.26424111772.26424111770.7869386806

    2.51.42699040632.42699040630.929477143

    31.55373967972.55373967971.0552668945

    3.51.65245211312.65245211311.1662759606

    41.72932943352.72932943351.2642411177

    4.51.78920155092.78920155091.3506950653

    51.83583000282.83583000281.4269904063

    5.51.87214427762.87214427761.4943208084

    61.90042586332.90042586331.5537396797

    6.51.92245158432.92245158431.6061766496

    71.93960523322.93960523321.6524521131

    7.51.95296450832.95296450831.6932900663

    81.96336872222.96336872221.7293294335

    8.51.97147153222.97147153221.7611340635

    91.97778200692.97778200691.7892015509

    9.51.98269660962.98269660961.8139710216

    101.9865241062.9865241061.8358300028

    10.51.98950496322.98950496321.8551204859

    111.99182645712.99182645711.8721442776

    11.51.99363443842.99363443841.887167721

    121.99504249562.99504249561.9004258633

    12.51.99613909172.99613909171.9121261328

    131.99699312162.99699312161.9224515843

    13.51.99765824082.99765824081.9315637634

    141.99817623612.99817623611.9396052332

    14.51.99857965122.99857965121.9467018053

    151.99889383132.99889383131.9529645083

    15.51.99913851492.99913851491.9584913243

    161.99932907472.99932907471.9633687222

    16.51.99947748292.99947748291.9676730108

    171.99959306332.99959306331.9714715322

    17.51.99968307732.99968307731.9748237155

    181.99975318042.99975318041.9777820069

    Hoja1

    00

    00

    00

    00

    00

    00

    00

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    Valores reales

    Distancia

    Variograma

    Hoja2

    00

    0.50.929477143

    11.0552668945

    1.51.1662759606

    21.4269904063

    2.51.4943208084

    31.5537396797

    3.51.6061766496

    41.6524521131

    4.51.6932900663

    51.7293294335

    5.51.7611340635

    61.7892015509

    6.51.8139710216

    71.8358300028

    7.51.8551204859

    81.8721442776

    8.51.887167721

    91.9004258633

    9.51.9121261328

    101.9224515843

    10.51.9315637634

    111.9396052332

    11.51.9467018053

    121.9529645083

    12.51.9584913243

    131.9633687222

    13.51.9676730108

    141.9714715322

    14.51.9748237155

    151.9777820069

    15.5

    16

    16.5

    17

    17.5

    18

    Hoja3

    Grfico4

    00

    0.18176081160.1875

    0.35250929220.375

    0.51291264550.5625

    0.66359765080.75

    0.80515311320.9375

    0.93813216361.125

    1.06305442071.3125

    1.18040802091.5

    1.29065152581.6875

    1.39421571441.875

    1.49150526612.0625

    1.5829003418

    1.6687580698

    1.749413941

    1.82518312

    1.8963616765

    1.9632277423

    2.0260425979

    2.0850516939

    2.1404856094

    2.1925609538

    2.2414812126

    2.2874375427

    2.3306095196

    2.3711658385

    2.4092649744

    2.4450558003

    2.4786781696

    2.5102634626

    2.5399350995

    2.5678090227

    2.5939941503

    2.6185928012

    2.6417010952

    2.6634093284

    2.6838023263

    Valores reales

    Distancia

    Variograma

    Hoja1

    00.50380110

    0.18750.50.18176081161.18176081160.2350061948

    0.37510.35250929221.35250929220.4423984339

    0.56251.50.51291264551.51291264550.6254214424

    0.7520.66359765081.66359765080.7869386806

    0.93752.50.80515311321.80515311320.929477143

    1.12530.93813216361.93813216361.0552668945

    1.31253.51.06305442072.06305442071.1662759606

    1.541.18040802092.18040802091.2642411177

    1.68754.51.29065152582.29065152581.3506950653

    1.87551.39421571442.39421571441.4269904063

    2.06255.51.49150526612.49150526611.4943208084

    61.58290034182.58290034181.5537396797

    6.51.66875806982.66875806981.6061766496

    71.7494139412.7494139411.6524521131

    7.51.825183122.825183121.6932900663

    81.89636167652.89636167651.7293294335

    8.51.96322774232.96322774231.7611340635

    92.02604259793.02604259791.7892015509

    9.52.08505169393.08505169391.8139710216

    102.14048560943.14048560941.8358300028

    10.52.19256095383.19256095381.8551204859

    112.24148121263.24148121261.8721442776

    11.52.28743754273.28743754271.887167721

    122.33060951963.33060951961.9004258633

    12.52.37116583853.37116583851.9121261328

    132.40926497443.40926497441.9224515843

    13.52.44505580033.44505580031.9315637634

    142.47867816963.47867816961.9396052332

    14.52.51026346263.51026346261.9467018053

    152.53993509953.53993509951.9529645083

    15.52.56780902273.56780902271.9584913243

    162.59399415033.59399415031.9633687222

    16.52.61859280123.61859280121.9676730108

    172.64170109523.64170109521.9714715322

    17.52.66340932843.66340932841.9748237155

    182.68380232633.68380232631.9777820069

    Hoja1

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    Valores reales

    Distancia

    Variograma

    Hoja2

    00

    0.50.929477143

    11.0552668945

    1.51.1662759606

    21.4269904063

    2.51.4943208084

    31.5537396797

    3.51.6061766496

    41.6524521131

    4.51.6932900663

    51.7293294335

    5.51.7611340635

    61.7892015509

    6.51.8139710216

    71.8358300028

    7.51.8551204859

    81.8721442776

    8.51.887167721

    91.9004258633

    9.51.9121261328

    101.9224515843

    10.51.9315637634

    111.9396052332

    11.51.9467018053

    121.9529645083

    12.51.9584913243

    131.9633687222

    13.51.9676730108

    141.9714715322

    14.51.9748237155

    151.9777820069

    15.5

    16

    16.5

    17

    17.5

    18

    Hoja3

  • Comportamiento CuadrticoComportamiento CuadrticoIndica que para distancias pequeas, el variograma tiene un comportamiento cuadrtico.Representa variables sumamente continuas e infinitamente diferenciables. As, la propiedad NO puede cambiar rpidamente de un punto a otro.

    Oscar Rondon

    Grfico1

    00

    0.02489612210.03

    0.09835169860.12

    0.2167695410.27

    0.37448004290.48

    0.56419096150.75

    0.7775453381.08

    1.00572823161.47

    1.24006134151.92

    1.47253073822.43

    1.6962053745

    1.905520448

    2.0964173643

    2.2663484163

    2.4141673115

    2.5399350995

    2.644674513

    2.7301046654

    2.7983834618

    2.8518782998

    2.89297802

    2.9239517834

    2.9468544575

    2.9634736384

    2.9753107589

    2.9835876478

    2.9892701

    2.9931010614

    2.9956375482

    2.9972870564

    2.9983407469

    2.9990019638

    2.9994096064

    2.9996565221

    2.999803475

    2.9998894144

    2.9999388015

    Distancia

    Variograma

    Hoja1

    00.5033001100

    0.050.50.04958563851.04958563850.02489612210.03

    0.110.09835169861.09835169860.09835169860.12

    0.151.50.14631172651.14631172650.2167695410.27

    0.220.19347904491.19347904490.37448004290.48

    0.252.50.23986675611.23986675610.56419096150.75

    0.330.28548774591.28548774590.7775453381.08

    0.353.50.3303546871.3303546871.00572823161.47

    0.440.37448004291.37448004291.24006134151.92

    0.454.50.41787607071.41787607071.47253073822.43

    0.550.46055482531.46055482531.69620537453

    0.555.50.50252816221.50252816221.9055204483.63

    60.54380774081.54380774082.09641736434.32

    6.50.58440502791.58440502792.26634841635.07

    70.6243313011.6243313012.41416731155.88

    7.50.66359765081.66359765082.53993509956.75

    80.70221498491.70221498492.6446745137.68

    8.50.74019403061.74019403062.73010466548.67

    90.7775453381.7775453382.79838346189.72

    9.50.81427928251.81427928252.851878299810.83

    100.85040606831.85040606832.8929780212

    10.50.88593573081.88593573082.923951783413.23

    110.92087813971.92087813972.946854457514.52

    11.50.95524300141.95524300142.963473638415.87

    120.98903986191.98903986192.975310758917.28

    12.51.02227810942.02227810942.983587647818.75

    131.0549669772.0549669772.989270120.28

    13.51.08711554512.08711554512.993101061421.87

    141.11873274422.11873274422.995637548223.52

    14.51.14982735692.14982735692.997287056425.23

    151.18040802092.18040802092.998340746927

    15.51.21048323092.21048323092.999001963828.83

    161.24006134152.24006134152.999409606430.72

    16.51.26915056892.26915056892.999656522132.67

    171.29775899362.29775899362.99980347534.68

    17.51.32589456272.32589456272.999889414436.75

    181.35356509172.35356509172.999938801538.88

    Hoja1

    Distancia

    Variograma

    Hoja2

    0.5

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    Hoja3

  • Comportamiento Hbrido: Variacin ms suave a distancias cortasVariacin ms fuerte a distancias grandesIndica presencia de estructuras actuando a diferentes escalasComportamiento Hbrido

    Oscar Rondon

    Grfico2

    0

    0.4697667859

    1.4334303133

    2.559033789

    3.542055892

    4.2449976698

    4.6888517265

    4.9635396394

    5.1522437556

    5.3048164815

    5.4434829665

    5.5758884757

    5.7039754232

    5.8279413843

    5.947555233

    6.0624999712

    6.1724444423

    6.2770555554

    6.376

    6.4689444444

    6.5555555556

    6.6355

    6.7084444444

    6.7740555556

    6.832

    6.8819444444

    6.9235555556

    6.9565

    6.9804444444

    6.9950555556

    7

    7

    7

    7

    7

    7

    7

    Distancia

    Variograma

    Hoja1

    00.5033001100

    0.050.50.04958563851.04958563850.02489612210.03

    0.110.09835169861.09835169860.09835169860.12

    0.151.50.14631172651.14631172650.2167695410.27

    0.220.19347904491.19347904490.37448004290.48

    0.252.50.23986675611.23986675610.56419096150.75

    0.330.28548774591.28548774590.7775453381.08

    0.353.50.3303546871.3303546871.00572823161.47

    0.440.37448004291.37448004291.24006134151.92

    0.454.50.41787607071.41787607071.47253073822.43

    0.550.46055482531.46055482531.69620537453

    0.555.50.50252816221.50252816221.9055204483.63

    60.54380774081.54380774082.09641736434.32

    6.50.58440502791.58440502792.26634841635.07

    70.6243313011.6243313012.41416731155.88

    7.50.66359765081.66359765082.53993509956.75

    80.70221498491.70221498492.6446745137.68

    8.50.74019403061.74019403062.73010466548.67

    90.7775453381.7775453382.79838346189.72

    9.50.81427928251.81427928252.851878299810.83

    100.85040606831.85040606832.8929780212

    10.50.88593573081.88593573082.923951783413.23

    110.92087813971.92087813972.946854457514.52

    11.50.95524300141.95524300142.963473638415.87

    120.98903986191.98903986192.975310758917.28

    12.51.02227810942.02227810942.983587647818.75

    131.0549669772.0549669772.989270120.28

    13.51.08711554512.08711554512.993101061421.87

    141.11873274422.11873274422.995637548223.52

    14.51.14982735692.14982735692.997287056425.23

    151.18040802092.18040802092.998340746927

    15.51.21048323092.21048323092.999001963828.83

    161.24006134152.24006134152.999409606430.72

    16.51.26915056892.26915056892.999656522132.67

    171.29775899362.29775899362.99980347534.68

    17.51.32589456272.32589456272.999889414436.75

    181.35356509172.35356509172.999938801538.88

    Hoja2

    0.5043031500

    0.50.31982234150.14994444440.4697667859

    11.13387475770.29955555561.4334303133

    1.52.1105337890.44852.559033789

    22.94561144750.59644444443.542055892

    2.53.50194211420.74305555564.2449976698

    33.80085172650.8884.6888517265

    3.53.9325951951.03094444444.9635396394

    43.98068821.17155555565.1522437556

    4.53.99531648151.30955.3048164815

    53.99903852211.44444444445.4434829665

    5.53.99983292021.57605555565.5758884757

    63.99997542321.7045.7039754232

    6.53.99999693981.82794444445.8279413843

    73.99999967751.94755555565.947555233

    7.53.99999997122.06256.0624999712

    83.99999999782.17244444446.1724444423

    8.53.99999999992.27705555566.2770555554

    942.3766.376

    9.542.46894444446.4689444444

    1042.55555555566.5555555556

    10.542.63556.6355

    1142.70844444446.7084444444

    11.542.77405555566.7740555556

    1242.8326.832

    12.542.88194444446.8819444444

    1342.92355555566.9235555556

    13.542.95656.9565

    1442.98044444446.9804444444

    14.542.99505555566.9950555556

    15437

    15.5437

    16437

    16.5437

    17437

    17.5437

    18437

    Hoja2

    Distancia

    Variograma

    Hoja3

  • Comportamiento-grandes distanciasNO TODOS LOS VARIOGRAMAS POSEEN UN RANGO Y UN SILL FINITOINDICA LA PRESENCIA DE UNA DERIVA O DRIFTVARIABLE NO ESTACIONARIAComportamiento a grandes distancias :

    Oscar Rondon

    Grfico1

    000

    1.170513730.0131529830.1725

    1.54450212640.04580134690.345

    1.81645655110.09502601480.5175

    2.0379827740.15948955340.69

    2.22825307250.23832536420.8625

    2.39682878880.33089980281.035

    2.54926937250.43671763521.2075

    2.68913439230.55537488231.38

    2.81886005910.68653198361.5525

    2.94019755630.82989712031.725

    3.0544539810.98521517131.8975

    3.16263454761.15226003882.07

    3.26553131811.33082910972.2425

    3.36378110381.52073913342.415

    3.45790466811.72182307582.5875

    3.54833410381.93392766652.76

    3.63543246192.1569114512.9325

    3.71950814732.39064322023.105

    3.80082568852.63500072683.2775

    3.87961393482.88986962233.45

    3.95607239253.1551425693.6225

    4.03037619113.43071848943.795

    4.10268002293.71650192823.9675

    4.17312130444.01240250354.14

    4.24182273784.31833443344.3125

    4.30889440714.63421612444.485

    4.37443550624.95996981064.6575

    4.43853577655.29552123684.83

    4.50127671025.64079937895.0025

    4.56273256425.99573619435.175

    4.62297122066.36026640095.3475

    4.682054926.73432727795.52

    4.74004089127.11785848765.6925

    4.79698189257.51080191455.865

    4.85292668197.91310151966.0375

    4.90792042468.32470320816.21

    4.96200504998.74555470966.3825

    5.01521956359.17560546816.555

    5.06760032249.61480654166.7275

    5.119181277710.06311051036.9

    5.169994189310.52047139177.0725

    5.220068817510.98684456287.245

    5.269433092611.46218668837.4175

    5.318113267511.94645565397.59

    5.366134054112.43961050487.7625

    5.413518745612.94161138837.935

    5.460289326813.45241950098.1075

    5.506466573813.97199703828.28

    5.552070144214.50030714968.4525

    5.597118658715.03731389418.625

    5.641629775215.58298220078.7975

    5.685620256816.13727783028.97

    5.729106032816.70016733999.1425

    5.772102255517.27161805019.315

    5.814623351617.85159801299.4875

    5.856683069418.44007598279.66

    5.89829452219.03702138839.8325

    5.939470227719.642404306810.005

    5.980222146320.256195438910.1775

    6.020561713220.878366085310.35

    6.060499870721.508888124410.5225

    6.100047096822.14773399210.695

    6.139213432422.794876660510.8675

    6.178008505723.450289620711.04

    6.216441555624.113946863611.2125

    6.254521453324.785822863411.385

    s=2.5, p=0.4

    s=0.4, p=1.8

    s=1.15, p=1

    Distancia

    Variograma

    Hoja1

    00001.15

    0.151.170513730.0131529830.1725

    0.31.54450212640.04580134690.345

    0.451.81645655110.09502601480.5175

    0.62.0379827740.15948955340.69

    0.752.22825307250.23832536420.8625

    0.92.39682878880.33089980281.035

    1.052.54926937250.43671763521.2075

    1.22.68913439230.55537488231.38

    1.352.81886005910.68653198361.5525

    1.52.94019755630.82989712031.725

    1.653.0544539810.98521517131.8975

    1.83.16263454761.15226003882.07

    1.953.26553131811.33082910972.2425

    2.13.36378110381.52073913342.415

    2.253.45790466811.72182307582.5875

    2.43.54833410381.93392766652.76

    2.553.63543246192.1569114512.9325

    2.73.71950814732.39064322023.105

    2.853.80082568852.63500072683.2775

    33.87961393482.88986962233.45

    3.153.95607239253.1551425693.6225

    3.34.03037619113.43071848943.795

    3.454.10268002293.71650192823.9675

    3.64.17312130444.01240250354.14

    3.754.24182273784.31833443344.3125

    3.94.30889440714.63421612444.485

    4.054.37443550624.95996981064.6575

    4.24.43853577655.29552123684.83

    4.354.50127671025.64079937895.0025

    4.54.56273256425.99573619435.175

    4.654.62297122066.36026640095.3475

    4.84.682054926.73432727795.52

    4.954.74004089127.11785848765.6925

    5.14.79698189257.51080191455.865

    5.254.85292668197.91310151966.0375

    5.44.90792042468.32470320816.21

    5.554.96200504998.74555470966.3825

    5.75.01521956359.17560546816.555

    5.855.06760032249.61480654166.7275

    65.119181277710.06311051036.9

    6.155.169994189310.52047139177.0725

    6.35.220068817510.98684456287.245

    6.455.269433092611.46218668837.4175

    6.65.318113267511.94645565397.59

    6.755.366134054112.43961050487.7625

    6.95.413518745612.94161138837.935

    7.055.460289326813.45241950098.1075

    7.25.506466573813.97199703828.28

    7.355.552070144214.50030714968.4525

    7.55.597118658715.03731389418.625

    7.655.641629775215.58298220078.7975

    7.85.685620256816.13727783028.97

    7.955.729106032816.70016733999.1425

    8.15.772102255517.27161805019.315

    8.255.814623351617.85159801299.4875

    8.45.856683069418.44007598279.66

    8.555.89829452219.03702138839.8325

    8.75.939470227719.642404306810.005

    8.855.980222146320.256195438910.1775

    96.020561713220.878366085310.35

    9.156.060499870721.508888124410.5225

    9.36.100047096822.14773399210.695

    9.456.139213432422.794876660510.8675

    9.66.178008505723.450289620711.04

    9.756.216441555624.113946863611.2125

    9.96.254521453324.785822863411.385

    10.0511.535

    10.211.685

    10.3511.835

    10.511.985

    10.6512.135

    10.812.285

    10.9512.435

    11.112.585

    11.2512.735

    11.412.885

    11.5513.035

    11.713.185

    11.8513.335

    1213.485

    Hoja1

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    s=2.5, =0.4

    s=0.4, =1.8

    s=1.15, =1

    Distancia

    Variograma

    Hoja2

    Hoja3

  • Comportamiento-grandes distancias

    Oscar Rondon

  • D1=E-OD2=N-SComportamiento-grandes distancias

    Oscar Rondon

  • AnisotropasAnisotropas :Generalmente cuando el variograma experimental es calculado en distintas direcciones presenta distintos comportamientos con la variacin de la distancia.Anisotropa GeomtricaAnisotropa ZonalAnisotropa Hbrida

    Oscar Rondon

  • Anisotropa GeomtricaAnisotropa Geomtrica :Es aquella en la que el variograma en distintas direcciones presenta el mismo sill pero rangos distintosMayor continuidad espacial en la direccin de mayor rangoMenor continuidad espacial en la direccin de menor rango

    Oscar Rondon

    Grfico4

    0.09802640210

    0.43260216510.0331120955

    0.72057419310.1534236383

    0.96843401450.2678675179

    1.18176893990.3767299036

    1.36538801180.4802830082

    1.52343041160.5787857682

    1.65945876570.672484492

    1.77653945520.761613475

    1.87731173840.8463955863

    1.96404724640.9270428252

    2.038701191.0037568518

    2.10295643471.0767294913

    2.15826143641.1461432131

    2.20586289241.2121715877

    2.24683384541.2749797205

    2.28209787131.3347246645

    2.31244989981.3915558133

    2.33857413281.4456152742

    2.36105946851.497038224

    2.38041277631.5459532471

    2.39707032271.5924826563

    2.41140760571.6367427994

    2.42374781961.6788443499

    2.43436914011.7188925835

    2.44351099541.7569876417

    2.45137946311.793224782

    2.45815191611.8276946162

    2.46398102041.8604833366

    2.46899817691.8916729324

    2.47331648361.9213413935

    2.47703328461.9495629068

    2.48023236491.9764080406

    2.48298583882.0019439218

    2.48535577572.0262344034

    2.48739559942.0493402242

    2.48915129182.0713191608

    2.49066243032.092226172

    2.49196307932.1121135363

    2.49308255832.1310309823

    2.49404610272.1490258137

    2.49487543312.1661430267

    2.49558924442.1824254234

    2.49620362752.1979137183

    2.49673243192.2126466401

    2.49718757812.2266610289

    2.4975793262.2399919278

    2.49791650662.2526726711

    2.49820672062.2647349673

    2.49845651012.2762089783

    2.49867150592.2871233952

    2.49885655462.2975055098

    2.49901582742.3073812826

    2.49915291482.3167754083

    2.4992709072.3257113771

    2.49937246382.3342115335

    2.49945987462.3422971324

    2.49953510982.349988392

    2.49959986532.3573045445

    2.49965560092.364263884

    2.49970357292.3708838125

    2.49974486282.3771808832

    2.49978040142.3831708422

    2.49981098972.3888686675

    2.49983731742.3942886065

    2.49985997782.399444212

    2.49987948172.4043483757

    2.4998962692.4090133605

    2.49991071792.4134508312

    2.49992315422.417671884

    2.49993385822.4216870736

    2.49994307122.4255064401

    2.49995100092.4291395339

    2.49995782612.4325954396

    2.49996370062.4358827988

    2.49996875682.4390098316

    2.49997310872.4419843572

    2.49997685452.4448138135

    2.49998007852.4475052756

    2.49998285342.4500654735

    11.892.4525008091

    N-S

    E-O

    Distancia

    Variograma

    Hoja1

    000

    0.040.09802640210.0331120955

    0.190.43260216510.1534236383

    0.340.72057419310.2678675179

    0.490.96843401450.3767299036

    0.641.18176893990.4802830082

    0.791.36538801180.5787857682

    0.941.52343041160.672484492

    1.091.65945876570.761613475

    1.241.77653945520.8463955863

    1.391.87731173840.9270428252

    1.541.96404724641.0037568518

    1.692.038701191.0767294913

    1.842.10295643471.1461432131

    1.992.15826143641.2121715877

    2.142.20586289241.2749797205

    2.292.24683384541.3347246645

    2.442.28209787131.3915558133

    2.592.31244989981.4456152742

    2.742.33857413281.497038224

    2.892.36105946851.5459532471

    3.042.38041277631.5924826563

    3.192.39707032271.6367427994

    3.342.41140760571.6788443499

    3.492.42374781961.7188925835

    3.642.43436914011.7569876417

    3.792.44351099541.793224782

    3.942.45137946311.8276946162

    4.092.45815191611.8604833366

    4.242.46398102041.8916729324

    4.392.46899817691.9213413935

    4.542.47331648361.9495629068

    4.692.47703328461.9764080406

    4.842.48023236492.0019439218

    4.992.48298583882.0262344034

    5.142.48535577572.0493402242

    5.292.48739559942.0713191608

    5.442.48915129182.092226172

    5.592.49066243032.1121135363

    5.742.49196307932.1310309823

    5.892.49308255832.1490258137

    6.042.49404610272.1661430267

    6.192.49487543312.1824254234

    6.342.49558924442.1979137183

    6.492.49620362752.2126466401

    6.642.49673243192.2266610289

    6.792.49718757812.2399919278

    6.942.4975793262.2526726711

    7.092.49791650662.2647349673

    7.242.49820672062.2762089783

    7.392.49845651012.2871233952

    7.542.49867150592.2975055098

    7.692.49885655462.3073812826

    7.842.49901582742.3167754083

    7.992.49915291482.3257113771

    8.142.4992709072.3342115335

    8.292.49937246382.3422971324

    8.442.49945987462.349988392

    8.592.49953510982.3573045445

    8.742.49959986532.364263884

    8.892.49965560092.3708838125

    9.042.49970357292.3771808832

    9.192.49974486282.3831708422

    9.342.49978040142.3888686675

    9.492.49981098972.3942886065

    9.642.49983731742.399444212

    9.792.49985997782.4043483757

    9.942.49987948172.4090133605

    10.092.4998962692.4134508312

    10.242.49991071792.417671884

    10.392.49992315422.4216870736

    10.542.49993385822.4255064401

    10.692.49994307122.4291395339

    10.842.49995100092.4325954396

    10.992.49995782612.4358827988

    11.142.49996370062.4390098316

    11.292.49996875682.4419843572

    11.442.49997310872.4448138135

    11.592.49997685452.4475052756

    11.742.49998007852.4500654735

    11.892.49998285342.4525008091

    Hoja1

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    N-S

    E-O

    Distancia

    Variograma

    Hoja2

    Hoja3

  • Anisotropa Geomtrica

    Oscar Rondon

    Grfico4

    0.09802640210

    0.43260216510.0331120955

    0.72057419310.1534236383

    0.96843401450.2678675179

    1.18176893990.3767299036

    1.36538801180.4802830082

    1.52343041160.5787857682

    1.65945876570.672484492

    1.77653945520.761613475

    1.87731173840.8463955863

    1.96404724640.9270428252

    2.038701191.0037568518

    2.10295643471.0767294913

    2.15826143641.1461432131

    2.20586289241.2121715877

    2.24683384541.2749797205

    2.28209787131.3347246645

    2.31244989981.3915558133

    2.33857413281.4456152742

    2.36105946851.497038224

    2.38041277631.5459532471

    2.39707032271.5924826563

    2.41140760571.6367427994

    2.42374781961.6788443499

    2.43436914011.7188925835

    2.44351099541.7569876417

    2.45137946311.793224782

    2.45815191611.8276946162

    2.46398102041.8604833366

    2.46899817691.8916729324

    2.47331648361.9213413935

    2.47703328461.9495629068

    2.48023236491.9764080406

    2.48298583882.0019439218

    2.48535577572.0262344034

    2.48739559942.0493402242

    2.48915129182.0713191608

    2.49066243032.092226172

    2.49196307932.1121135363

    2.49308255832.1310309823

    2.49404610272.1490258137

    2.49487543312.1661430267

    2.49558924442.1824254234

    2.49620362752.1979137183

    2.49673243192.2126466401

    2.49718757812.2266610289

    2.4975793262.2399919278

    2.49791650662.2526726711

    2.49820672062.2647349673

    2.49845651012.2762089783

    2.49867150592.2871233952

    2.49885655462.2975055098

    2.49901582742.3073812826

    2.49915291482.3167754083

    2.4992709072.3257113771

    2.49937246382.3342115335

    2.49945987462.3422971324

    2.49953510982.349988392

    2.49959986532.3573045445

    2.49965560092.364263884

    2.49970357292.3708838125

    2.49974486282.3771808832

    2.49978040142.3831708422

    2.49981098972.3888686675

    2.49983731742.3942886065

    2.49985997782.399444212

    2.49987948172.4043483757

    2.4998962692.4090133605

    2.49991071792.4134508312

    2.49992315422.417671884

    2.49993385822.4216870736

    2.49994307122.4255064401

    2.49995100092.4291395339

    2.49995782612.4325954396

    2.49996370062.4358827988

    2.49996875682.4390098316

    2.49997310872.4419843572

    2.49997685452.4448138135

    2.49998007852.4475052756

    2.49998285342.4500654735

    11.892.4525008091

    N-S

    E-O

    Distancia

    Variograma

    Hoja1

    000

    0.040.09802640210.0331120955

    0.190.43260216510.1534236383

    0.340.72057419310.2678675179

    0.490.96843401450.3767299036

    0.641.18176893990.4802830082

    0.791.36538801180.5787857682

    0.941.52343041160.672484492

    1.091.65945876570.761613475

    1.241.77653945520.8463955863

    1.391.87731173840.9270428252

    1.541.96404724641.0037568518

    1.692.038701191.0767294913

    1.842.10295643471.1461432131

    1.992.15826143641.2121715877

    2.142.20586289241.2749797205

    2.292.24683384541.3347246645

    2.442.28209787131.3915558133

    2.592.31244989981.4456152742

    2.742.33857413281.497038224

    2.892.36105946851.5459532471

    3.042.38041277631.5924826563

    3.192.39707032271.6367427994

    3.342.41140760571.6788443499

    3.492.42374781961.7188925835

    3.642.43436914011.7569876417

    3.792.44351099541.793224782

    3.942.45137946311.8276946162

    4.092.45815191611.8604833366

    4.242.46398102041.8916729324

    4.392.46899817691.9213413935

    4.542.47331648361.9495629068

    4.692.47703328461.9764080406

    4.842.48023236492.0019439218

    4.992.48298583882.0262344034

    5.142.48535577572.0493402242

    5.292.48739559942.0713191608

    5.442.48915129182.092226172

    5.592.49066243032.1121135363

    5.742.49196307932.1310309823

    5.892.49308255832.1490258137

    6.042.49404610272.1661430267

    6.192.49487543312.1824254234

    6.342.49558924442.1979137183

    6.492.49620362752.2126466401

    6.642.49673243192.2266610289

    6.792.49718757812.2399919278

    6.942.4975793262.2526726711

    7.092.49791650662.2647349673

    7.242.49820672062.2762089783

    7.392.49845651012.2871233952

    7.542.49867150592.2975055098

    7.692.49885655462.3073812826

    7.842.49901582742.3167754083

    7.992.49915291482.3257113771

    8.142.4992709072.3342115335

    8.292.49937246382.3422971324

    8.442.49945987462.349988392

    8.592.49953510982.3573045445

    8.742.49959986532.364263884

    8.892.49965560092.3708838125

    9.042.49970357292.3771808832

    9.192.49974486282.3831708422

    9.342.49978040142.3888686675

    9.492.49981098972.3942886065

    9.642.49983731742.399444212

    9.792.49985997782.4043483757

    9.942.49987948172.4090133605

    10.092.4998962692.4134508312

    10.242.49991071792.417671884

    10.392.49992315422.4216870736

    10.542.49993385822.4255064401

    10.692.49994307122.4291395339

    10.842.49995100092.4325954396

    10.992.49995782612.4358827988

    11.142.49996370062.4390098316

    11.292.49996875682.4419843572

    11.442.49997310872.4448138135

    11.592.49997685452.4475052756

    11.742.49998007852.4500654735

    11.892.49998285342.4525008091

    Hoja1

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    N-S

    E-O

    Distancia

    Variograma

    Hoja2

    Hoja3

  • Anisotropa Geomtrica

    Oscar Rondon

  • Anisotropa Zonal :Es aquella en la que el variograma en distintas direcciones presenta el mismo rango pero diferente sillPresencia de diferentes estructuras Anisotropa Zonal

    Oscar Rondon

    Grfico3

    0.11763168250

    0.51912259820.039471376

    0.86468903170.1784590509

    1.16212081740.3042202998

    1.41812272790.4180137835

    1.63846561420.5209783855

    1.82811649390.6141446101

    1.99135051890.6984448963

    2.13184734620.7747229495

    2.25277408610.8437421863

    2.35685669570.9061933743

    2.4464414280.962701546

    2.52354772171.0138322541

    2.58991372371.0600972321

    2.64703547091.1019595153

    2.69620061441.1398380756

    2.73851744561.1741120142

    2.77493987971.2051243564

    2.80628895931.233185484

    2.83327136221.2585762422

    2.85649533151.2815507504

    2.87648438721.302338945

    2.89368912681.3211488813

    2.90849738351.3381688156

    2.92124296811.3535690889

    2.93221319441.3675038325

    2.94165535581.3801125099

    2.94978229931.391521313

    2.95677722451.401844425

    2.96279781231.4111851629

    2.96797978031.4196370121

    2.97243994151.4272845615

    2.97627883781.4342043504

    2.97958300651.4404656343

    2.98242693091.4461310783

    2.98487471921.4512573839

    2.98698155021.4558958571

    2.98879491641.4600929213

    2.99035569521.4638905819

    2.99169906991.4673268474

    2.99285532331.4704361089

    2.99385051971.4732494851

    2.99470709331.4757951332

    2.9954443531.4780985308

    2.99607891831.4801827312

    2.99662509371.4820685936

    2.99709519121.4837749926

    2.99749980791.4853190062

    2.99784806471.4867160874

    2.99814781211.4879802189

    2.99840580711.4891240523

    2.99862786551.4901590355

    2.99881899291.4910955271

    2.99898349771.4919428998

    2.99912508841.4927096342

    2.99924695661.4934034043

    2.99935184951.4940311533

    2.99944213171.4945991642

    2.99951983831.4951131217

    2.9995867211.4955781696

    2.99964428751.4959989624

    2.99969383541.4963797115

    2.99973648171.4967242275

    2.99977318771.4970359585

    2.99980478081.4973180243

    2.99983197331.497573248

    2.99985537811.497804184

    2.99987552281.4980131435

    2.99989286151.4982022179

    2.9999077851.4983732995

    2.99992062981.4985281005

    2.99993168541.4986681703

    2.99994120111.4987949106

    2.99994939131.4989095901

    2.99995644071.4990133563

    2.99996250821.4991072478

    2.99996773051.4991922044

    2.99997222541.4992690764

    2.99997609421.4993386329

    2.99997942411.4994015703

    11.891.4994585184

    N-S

    E-O

    Distancia

    Variograma

    Hoja1

    000

    0.040.11763168250.039471376

    0.190.51912259820.1784590509

    0.340.86468903170.3042202998

    0.491.16212081740.4180137835

    0.641.41812272790.5209783855

    0.791.63846561420.6141446101

    0.941.82811649390.6984448963

    1.091.99135051890.7747229495

    1.242.13184734620.8437421863

    1.392.25277408610.9061933743

    1.542.35685669570.962701546

    1.692.4464414281.0138322541

    1.842.52354772171.0600972321

    1.992.58991372371.1019595153

    2.142.64703547091.1398380756

    2.292.69620061441.1741120142

    2.442.73851744561.2051243564

    2.592.77493987971.233185484

    2.742.80628895931.2585762422

    2.892.83327136221.2815507504

    3.042.85649533151.302338945

    3.192.87648438721.3211488813

    3.342.89368912681.3381688156

    3.492.90849738351.3535690889

    3.642.92124296811.3675038325

    3.792.93221319441.3801125099

    3.942.94165535581.391521313

    4.092.94978229931.401844425

    4.242.95677722451.4111851629

    4.392.96279781231.4196370121

    4.542.96797978031.4272845615

    4.692.97243994151.4342043504

    4.842.97627883781.4404656343

    4.992.97958300651.4461310783

    5.142.98242693091.4512573839

    5.292.98487471921.4558958571

    5.442.98698155021.4600929213

    5.592.98879491641.4638905819

    5.742.99035569521.4673268474

    5.892.99169906991.4704361089

    6.042.99285532331.4732494851

    6.192.99385051971.4757951332

    6.342.99470709331.4780985308

    6.492.9954443531.4801827312

    6.642.99607891831.4820685936

    6.792.99662509371.4837749926

    6.942.99709519121.4853190062

    7.092.99749980791.4867160874

    7.242.99784806471.4879802189

    7.392.99814781211.4891240523

    7.542.99840580711.4901590355

    7.692.99862786551.4910955271

    7.842.99881899291.4919428998

    7.992.99898349771.4927096342

    8.142.99912508841.4934034043

    8.292.99924695661.4940311533

    8.442.99935184951.4945991642

    8.592.99944213171.4951131217

    8.742.99951983831.4955781696

    8.892.9995867211.4959989624

    9.042.99964428751.4963797115

    9.192.99969383541.4967242275

    9.342.99973648171.4970359585

    9.492.99977318771.4973180243

    9.642.99980478081.497573248

    9.792.99983197331.497804184

    9.942.99985537811.4980131435

    10.092.99987552281.4982022179

    10.242.99989286151.4983732995

    10.392.9999077851.4985281005

    10.542.99992062981.4986681703

    10.692.99993168541.4987949106

    10.842.99994120111.4989095901

    10.992.99994939131.4990133563

    11.142.99995644071.4991072478

    11.292.99996250821.4991922044

    11.442.99996773051.4992690764

    11.592.99997222541.4993386329

    11.742.99997609421.4994015703

    11.892.99997942411.4994585184

    Hoja1

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    N-S

    E-O

    Distancia

    Variograma

    Hoja2

    Hoja3

  • Anisotropa Zonal

    Oscar Rondon

    Grfico3

    0.11763168250

    0.51912259820.039471376

    0.86468903170.1784590509

    1.16212081740.3042202998

    1.41812272790.4180137835

    1.63846561420.5209783855

    1.82811649390.6141446101

    1.99135051890.6984448963

    2.13184734620.7747229495

    2.25277408610.8437421863

    2.35685669570.9061933743

    2.4464414280.962701546

    2.52354772171.0138322541

    2.58991372371.0600972321

    2.64703547091.1019595153

    2.69620061441.1398380756

    2.73851744561.1741120142

    2.77493987971.2051243564

    2.80628895931.233185484

    2.83327136221.2585762422

    2.85649533151.2815507504

    2.87648438721.302338945

    2.89368912681.3211488813

    2.90849738351.3381688156

    2.92124296811.3535690889

    2.93221319441.3675038325

    2.94165535581.3801125099

    2.94978229931.391521313

    2.95677722451.401844425

    2.96279781231.4111851629

    2.96797978031.4196370121

    2.97243994151.4272845615

    2.97627883781.4342043504

    2.97958300651.4404656343

    2.98242693091.4461310783

    2.98487471921.4512573839

    2.98698155021.4558958571

    2.98879491641.4600929213

    2.99035569521.4638905819

    2.99169906991.4673268474

    2.99285532331.4704361089

    2.99385051971.4732494851

    2.99470709331.4757951332

    2.9954443531.4780985308

    2.99607891831.4801827312

    2.99662509371.4820685936

    2.99709519121.4837749926

    2.99749980791.4853190062

    2.99784806471.4867160874

    2.99814781211.4879802189

    2.99840580711.4891240523

    2.99862786551.4901590355

    2.99881899291.4910955271

    2.99898349771.4919428998

    2.99912508841.4927096342

    2.99924695661.4934034043

    2.99935184951.4940311533

    2.99944213171.4945991642

    2.99951983831.4951131217

    2.9995867211.4955781696

    2.99964428751.4959989624

    2.99969383541.4963797115

    2.99973648171.4967242275

    2.99977318771.4970359585

    2.99980478081.4973180243

    2.99983197331.497573248

    2.99985537811.497804184

    2.99987552281.4980131435

    2.99989286151.4982022179

    2.9999077851.4983732995

    2.99992062981.4985281005

    2.99993168541.4986681703

    2.99994120111.4987949106

    2.99994939131.4989095901

    2.99995644071.4990133563

    2.99996250821.4991072478

    2.99996773051.4991922044

    2.99997222541.4992690764

    2.99997609421.4993386329

    2.99997942411.4994015703

    11.891.4994585184

    N-S

    E-O

    Distancia

    Variograma

    Hoja1

    000

    0.040.11763168250.039471376

    0.190.51912259820.1784590509

    0.340.86468903170.3042202998

    0.491.16212081740.4180137835

    0.641.41812272790.5209783855

    0.791.63846561420.6141446101

    0.941.82811649390.6984448963

    1.091.99135051890.7747229495

    1.242.13184734620.8437421863

    1.392.25277408610.9061933743

    1.542.35685669570.962701546

    1.692.4464414281.0138322541

    1.842.52354772171.0600972321

    1.992.58991372371.1019595153

    2.142.64703547091.1398380756

    2.292.69620061441.1741120142

    2.442.73851744561.2051243564

    2.592.77493987971.233185484

    2.742.80628895931.2585762422

    2.892.83327136221.2815507504

    3.042.85649533151.302338945

    3.192.87648438721.3211488813

    3.342.89368912681.3381688156

    3.492.90849738351.3535690889

    3.642.92124296811.3675038325

    3.792.93221319441.3801125099

    3.942.94165535581.391521313

    4.092.94978229931.401844425

    4.242.95677722451.4111851629

    4.392.96279781231.4196370121

    4.542.96797978031.4272845615

    4.692.97243994151.4342043504

    4.842.97627883781.4404656343

    4.992.97958300651.4461310783

    5.142.98242693091.4512573839

    5.292.98487471921.4558958571

    5.442.98698155021.4600929213

    5.592.98879491641.4638905819

    5.742.99035569521.4673268474

    5.892.99169906991.4704361089

    6.042.99285532331.4732494851

    6.192.99385051971.4757951332

    6.342.99470709331.4780985308

    6.492.9954443531.4801827312

    6.642.99607891831.4820685936

    6.792.99662509371.4837749926

    6.942.99709519121.4853190062

    7.092.99749980791.4867160874

    7.242.99784806471.4879802189

    7.392.99814781211.4891240523

    7.542.99840580711.4901590355

    7.692.99862786551.4910955271

    7.842.99881899291.4919428998

    7.992.99898349771.4927096342

    8.142.99912508841.4934034043

    8.292.99924695661.4940311533

    8.442.99935184951.4945991642

    8.592.99944213171.4951131217

    8.742.99951983831.4955781696

    8.892.9995867211.4959989624

    9.042.99964428751.4963797115

    9.192.99969383541.4967242275

    9.342.99973648171.4970359585

    9.492.99977318771.4973180243

    9.642.99980478081.497573248

    9.792.99983197331.497804184

    9.942.99985537811.4980131435

    10.092.99987552281.4982022179

    10.242.99989286151.4983732995

    10.392.9999077851.4985281005

    10.542.99992062981.4986681703

    10.692.99993168541.4987949106

    10.842.99994120111.4989095901

    10.992.99994939131.4990133563

    11.142.99995644071.4991072478

    11.292.99996250821.4991922044

    11.442.99996773051.4992690764

    11.592.99997222541.4993386329

    11.742.99997609421.4994015703

    11.892.99997942411.4994585184

    Hoja1

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

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    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

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    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    N-S

    E-O

    Distancia

    Variograma

    Hoja2

    Hoja3

  • Anisotropa Hbrida :Es aquella en la que el variograma en distintas direcciones presenta rangos diferentes y distintos sill.Presencia de diferentes estructuras Caracterstico de variogramas horizontales y verticalesAnisotropa Hbrida

    Oscar Rondon

    Grfico3

    00

    0.00532622850.598

    0.0212199591.184

    0.04742858051.746

    0.08353850582.272

    0.12898602992.75

    0.18307196793.168

    0.24497954193.514

    0.31379487843.776

    0.38852939633.942

    0.46814332334

    0.55156956164

    0.63773714564

    0.72559358434

    0.81412545644

    0.90237672784

    0.98946437324

    1.07459100844

    1.15705437044

    1.23625360314

    1.31169242634

    1.38297936994

    1.44982533924

    1.51203884964

    1.56951931374

    1.62224879434

    1.67028264324

    1.71373943584

    1.75279058964

    1.78765001364

    1.81856409344

    1.84580226184

    1.86964835074

    1.89039286644

    1.90832627624

    1.92373334694

    1.93688853434

    Distancia

    Variograma

    Hoja1

    00.5033001100

    0.050.50.04958563851.04958563850.02489612210.03

    0.110.09835169861.09835169860.09835169860.12

    0.151.50.14631172651.14631172650.2167695410.27

    0.220.19347904491.19347904490.37448004290.48

    0.252.50.23986675611.23986675610.56419096150.75

    0.330.28548774591.28548774590.7775453381.08

    0.353.50.3303546871.3303546871.00572823161.47

    0.440.37448004291.37448004291.24006134151.92

    0.454.50.41787607071.41787607071.47253073822.43

    0.550.46055482531.46055482531.69620537453

    0.555.50.50252816221.50252816221.9055204483.63

    60.54380774081.54380774082.09641736434.32

    6.50.58440502791.58440502792.26634841635.07

    70.6243313011.6243313012.41416731155.88

    7.50.66359765081.66359765082.53993509956.75

    80.70221498491.70221498492.6446745137.68

    8.50.74019403061.74019403062.73010466548.67

    90.7775453381.7775453382.79838346189.72

    9.50.81427928251.81427928252.851878299810.83

    100.85040606831.85040606832.8929780212

    10.50.88593573081.88593573082.923951783413.23

    110.92087813971.92087813972.946854457514.52

    11.50.95524300141.95524300142.963473638415.87

    120.98903986191.98903986192.975310758917.28

    12.51.02227810942.02227810942.983587647818.75

    131.0549669772.0549669772.989270120.28

    13.51.08711554512.08711554512.993101061421.87

    141.11873274422.11873274422.995637548223.52

    14.51.14982735692.14982735692.997287056425.23

    151.18040802092.18040802092.998340746927

    15.51.21048323092.21048323092.999001963828.83

    161.24006134152.24006134152.999409606430.72

    16.51.26915056892.26915056892.999656522132.67

    171.29775899362.29775899362.99980347534.68

    17.51.32589456272.32589456272.999889414436.75

    181.35356509172.35356509172.999938801538.88

    Hoja2

    0.2021504200

    0.20.00532622850.5980.6033262285

    0.40.0212199591.1841.205219959

    0.60.04742858051.7461.7934285805

    0.80.08353850582.2722.3555385058

    10.12898602992.752.8789860299

    1.20.18307196793.1683.3510719679

    1.40.24497954193.5143.7589795419

    1.60.31379487843.7764.0897948784

    1.80.38852939633.9424.3305293963

    20.468143323344.4681433233

    2.20.551569561644.5515695616

    2.40.637737145644.6377371456

    2.60.725593584344.7255935843

    2.80.814125456444.8141254564

    30.902376727844.9023767278

    3.20.989464373244.9894643732

    3.41.074591008445.0745910084

    3.61.157054370445.1570543704

    3.81.236253603145.2362536031

    41.311692426345.3116924263

    4.21.382979369945.3829793699

    4.41.449825339245.4498253392

    4.61.512038849645.5120388496

    4.81.569519313745.5695193137

    51.622248794345.6222487943

    5.21.670282643245.6702826432

    5.41.713739435845.7137394358

    5.61.752790589645.7527905896

    5.81.787650013645.7876