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Predicting Shale Production with Integrated Multi-Variate Statistics
Murray Roth
Transform Software and Services, Inc.
Barnett Details
Geologic Age Mississippian
Lithology Siliceous Mudstone
Total Area Size (sq mi) 50000
Total Gas (tcf) 327
GIP (bcf/sq mi) 150
Producable Gas (tcf) 50
Depth (feet) 7500
Thickness (feet) 300
Hor Well Cost ($M) 2.8
Average EUR 2.65
Pressure (psi) 4000
Temperature (F) 200
Ro 2
TOC (%) 4.5
Porosity (%) 6
Matrix Permeability (nD) 250
Pressure Gradient (psi/ft) 0.526
Clay Content (%) 45
Adsorbed Gas (%) 35
300’
Courtesy: Devon
Relative Well EUR Distribution
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10-fold range in EUR!
~Economic Threshold At $4/mcf
But how do you Optimize? • Horizontal well lengths – 900-3700 ft?
• Number of frac stages – 1 -7?
• Horizontal well azimuth?
• Fracture parameters • Slick water
• Fluid volume
• Fluid rate
• Pressure
• Proppant volume??
• Location • Porosity?
• Facies/Lithology?
• Thickness?
• Hazards?
EUR vrs Horizontal Well Length
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Horizontal well length has poor correlation with EUR
EUR vrs Horizontal Well Azimuth
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Optimal well azimuth ~130 degrees from North
EUR vrs # of Fracture Stages
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Best production with 1 or 2 fracture stages?
MV Statistics - Engineering
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Prediction correlation improves to 0.426 using
well length, azimuth and # stages
MV Statistics – Non-linear
Prediction correlation improves to 0.663 if a periodic transform is
applied to wellbore azimuth
MV Statistics – Non-linear
Horizontal well bore length and transformed wellbore azimuth are key engineering predictors
for EUR gas production
But how do you Optimize? • Horizontal well lengths – 900-3700 ft?
• Number of frac stages – 1 -7?
• Horizontal well azimuth?
• Fracture parameters • Slick water
• Fluid volume
• Fluid rate
• Pressure
• Proppant volume??
• Location • Porosity?
• Facies/Lithology?
• Thickness?
• Hazards?
Reservoir Thickness Facies/Lithology
Conventional characteristics….
Reservoir Depth Vertical Position in Reservoir
Reservoir Depth
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Seismic time horizons, converted seismic depth
horizons, gridded geologic tops
Vertical Position in Reservoir
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Distance beneath and between reservoir boundaries
Average/maximum well depth below top reservoir, percentage
position in reservoir
Reservoir Thickness
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Distance beneath and between reservoir boundaries
Isochores, isochrons, spectral decomposition
Facies/Lithology
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Distance beneath and between reservoir boundaries
Facies/lithology maps or volumes, seismic impedance, seismic amplitude, spectral
decomposition
Reservoir Thickness Facies/Lithology
Conventional characteristics….
Reservoir Depth Vertical Position in Reservoir
MV Statistics – Non-linear
Thickness and amplitude maps slightly improve prediction
correlation to 0.836
Hydrocarbon Potential Rock “Crackability”
Faults and Fractures Stress Anisotropy
Unconventional characteristics….
Hydrocarbon Potential
TOC, thermal maturity, kerogen percentage, thickness, porosity,
organic/matrix permeability
Rock “Crackability”
Elastic inversion, shear modulus, bulk modulus, Young’s modulus, Poisson’s
ratio (Vp/Vs), breakdown pressure
Young’s Modulus
Poisson’s Ratio
Faults and Fractures Incoherence, curvature, fault volume, velocity anisotropy
Source: Global Geophysical/Weinman
Stress Anisotropy
Velocity anisotropy, curvature, triaxial stress, stress maps
Rich and Ammerman 2008
Hydrocarbon Potential Rock “Crackability”
Faults and Fractures Stress Anisotropy
Unconventional characteristics….
MV Statistics + Fracture Attributes
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Fracture attributes have high sensitivity and improve
correlation prediction to 0.957
Why Non-Linear Relationships?
No collapse chimneys
Increasing collapse chimneys
Collapse chimneys dominate
Incoherence Curvature
Managing Information Overload
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Many maps are redundant, with high correlation with other maps
Multi-Variate Analysis Workflow
2) Engineering
“Best Practices”
Optimize Well Placement
and Completions
Assign Properties
To Wellbore Zones
Load & QC
Engineering Data
Wellbore Paths, Perfs,
Stages, Pressures, Slurry
Flow, Proppant
Load & QC
Geo Data
Logs, Tops
Lithology/Facies logs
Geochemical data
Stress/strain data
Grid/Extract
Map Properties
Create
Wellbore Zones
1) Multi-Variate
Statistical Analysis Correlation of Engineering
Parameters with
Production, Correcting for
Spatial Geo Data Effects
3) Prospectivity
Maps
Correlation of Geo Data
with Production, Correcting
for Variability in
Engineering Parameters
1) Integrated GG&E Statistics at Wells
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Engineering (at wells)
Geo Data (between wells)
3) Use Spatial Statistics to Create Prospectivity Map
Blue zones are to be avoided, red/orange zones have best
prospectivity – potential locations identified
Good location, but poor engineering - azimuth
Summary • Ten-fold well production variability is not
uncommon within shale plays
• Using crossplots to optimize engineering parameters is not feasible due to the number and subtle interactions
• Visual map correlation can mislead due to the power of human pattern matching
• We propose using non-linear, multi-variate statistics for integrated analysis of engineering and geo data – to create prospectivity maps and estimates of best engineering parameters