dc resistivity method - chihping lin (林志平)resistivity vs. resistance resistivity for...

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DC Resistivity Method 林志平、楊証傑 交通大學土木系 [email protected] DC Resistivity Method Resistivity Basics Resistivity Surveys and Geology Resistivity Equipment and Field Procedures Interpretation of Resistivity Measurements Case Study

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  • DC Resistivity Method

    [email protected]

    DC Resistivity MethodResistivity BasicsResistivity Surveys and GeologyResistivity Equipment and Field ProceduresInterpretation of Resistivity MeasurementsCase Study

  • Resistivity BasicsCurrent flow and Ohms lawResistivity vs. ResistanceResistivity for common earth materialsCurrent density and electrical fieldMeasurement of resistivity

    DC resistivity basics

    Current Flow and Ohms LawDC resistivity basics

  • Resistivity vs. ResistanceDC resistivity basics

    Resistivity of Earth MaterialsMaterial Resistivity (Ohm-meter) Air Infinite Pyrite 3 x 10^-1 Galena 2 x 10^-3 Quartz 4 x 10^10 - 2 x 10^14 Calcite 1 x 10^12 - 1 x 10^13 Rock Salt 30 - 1 x 10^13 Mica 9 x 10^12 - 1 x 10^14 Granite 100 - 1 x 10^6 Gabbro 1 x 10^3 - 1 x 10^6 Basalt 10 - 1 x 10^7 Limestones 50 - 1 x 10^7 Sandstones 1 - 1 x 10^8 Shales 20 - 2 x 10^3 Dolomite 100 - 10,000 Sand 1 - 1,000 Clay 1 - 100 Ground Water 0.5 - 300 Sea Water 0.2

    Archies Law=aw-m

    DC resistivity basics

  • Current Densities and EquipotentialDC resistivity basics

    A First Estimate of ResistivityDC resistivity basics

  • Two closely spread electrodes

    Current Path % of Total Current

    1 17

    2 32

    3 43

    4 49

    5 51

    6 57

    DC resistivity basics

    A practical way of measuring resistivity

    DC resistivity basics

  • A practical way of measuring resistivity

    IVK

    rrrrIVV pP

    a

    =+

    =

    41

    31

    21

    11

    221

    DC resistivity basics

    Resistivity Survey and GeologySources of NoiseDepth of Current Penetration vs. Current Electrode SpacingCurrent Flow in Layered MediaVariation in Apparent Resistivity: Layered vs. Homogeneous Media

    Resistivity survey and geology

  • Sources of NoiseElectrode polarization

    Use nonpolarizing electrodesUse a slowly varying AC current

    Telluric currentsPresence of nearby conductorsLow resistivity at the near surfaceNear-electrode geology and topographyCurrent induction in measurement cables.

    Resistivity survey and geology

    Depth of current penetration vs. current electrode spacing

    Resistivity survey and geology

  • Current flow in two layer media

    1

    2

    2

    1

    2

    1

    tantan

    ==

    Resistivity survey and geology

    Current flow in two layer mediaResistivity survey and geology

  • Current distributionResistivity survey and geology

    Layered vs. Homogeneous Media

    IVK

    rrrrIVV pP

    a

    =+

    =

    41

    31

    21

    11

    221

    Resistivity survey and geology

    ApparentResistivity

  • Current flow in layered media-Case 1Resistivity survey and geology

    Resistivity Surveys and GeologyCurrent flow in layered media-Case 1

    Resistivity survey and geology

  • Resistivity Surveys and GeologyCurrent flow in layered media-Case 2

    Resistivity survey and geology

    Resistivity Surveys and GeologyCurrent flow in layered media-Case 2

    Resistivity survey and geology

  • Resistivity Equipment and Field Procedure

    EquipmentSurvey Types Overview

    SoundingsProfilesTomography

    Choice of Best ArrayField Work

    Resistivity equipment and field procedure

    DC Resistivity EquipmentCurrent sourceAmmeterVoltmeterElectrodesCables

    Resistivity equipment and field procedure

  • Survey Types OverviewResistivity Soundings

    To look for variations in resistivity with depth

    Resistivity ProfilesTo detect lateral variations in resistivity

    Resistivity Tomography2-D resistivity tomogram

    Resistivity equipment and field procedure

    Resistivity Soundings-Pole-Pole Array

    Pole-Pole sounding data is plotted asapparent resistivity vs. a

    Resistivity equipment and field procedure

  • Resistivity Soundings-Pole-Dipole Array

    Pole-Dipole sounding data is plotted asapparent resistivity vs. a

    Resistivity equipment and field procedure

    Resistivity SoundingsWenner Array

    Wenner sounding data is plotted asapparent resistivity vs. a on a log-log plot

    Resistivity equipment and field procedure

  • Resistivity SoundingsSchlumberger Array

    Schlumberger sounding data is plotted asapparent resistivity vs. s (AB/2) on a log-log plot

    Resistivity equipment and field procedure

    Resistivity SoundingsDipole-Dipole Array

    Dipole-Dipole sounding data is plotted asapparent resistivity vs. s (AB/2) on a log-log plot

    Resistivity equipment and field procedure

  • Resistivity SoundingsElectrode Spacings and Apparent Resistivity Plots

    Resistivity equipment and field procedure

    Resistivity ProfilesResistivity equipment and field procedure

  • Resistivity TomographyResistivity equipment and field procedure

    Resistivity TomographyResistivity equipment and field procedure

  • Resistivity Tomography

    Pseudosection

    Resistivity equipment and field procedure

    CHOICE OF THE BEST ARRAY

    Depends on:1) type of structure to be mapped2) sensitivity of the resistivity meter 3) background noise level

    Things to be considered:1) depth of investigation2) sensitivity of the array to vertical and horizontal structures 3) horizontal data coverage4) signal strength.

    Resistivity equipment and field procedure

  • Field WorkResistivity equipment and field procedure

    Interpretation of Resistivity Measurements

    Apparent resistivity curves for soundings over one-layered media

    Apparent resistivity curves in two-layered media

    Resistivity Modeling and Inversion

    Interpretation of resistivity measurements

  • Apparent Resistivity CurveOne-layered media case 1

    Interpretation of resistivity measurements

    Apparent Resistivity CurveOne-layered media case 2

    Interpretation of resistivity measurements

  • Apparent Resistivity CurveTwo-layered media

    Interpretation of resistivity measurements

    Apparent Resistivity CurveTwo-layered media

    Interpretation of resistivity measurements

  • 1D inversion

    1D inversion

  • Resistivity ModelingInterpretation of resistivity measurements

    Resistivity Modeling and InversionInterpretation of resistivity measurements

  • Resistivity Modeling and InversionInterpretation of resistivity measurements

    2D inversionInterpretation of resistivity measurements

  • Seismic and Electrical TomographyCase Study 1

    Case Study 1

    ERT - along tunnel axis(Pole-Pole Array)

  • ERT Simulation

    Case Study 1

    ERT Simulation

    Case Study 1

  • ERT Simulation

    Case Study 1

    Site condition1991

    Case Study 2

  • Logging DataCase Study 2

    DH5 DH1 DH2 DH4 DH3

    Line1

    Line2

    Line3

    Line3 cross

    Measurement array

    Wenner-Schlumberger

    Case Study 2

  • Inversion ResultCase Study 2

    DH3

    Line3 CrossLine3

    Line2Line1

    DH1 DH5

    DH2DH4

    Forward ModelCase Study 2

  • Forward ModelCase Study 2

    InterpretationIn-situ measurement dataLoggingForward model