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version: "1.0.0" name: geostatspy description: | GSLIB-inspired geostatistics library for variogram analysis, kriging, and simulation. Use when the agent needs to: (1) Calculate experimental variograms, (2) Fit variogram models, (3) Perform simple/ordinary kriging, (4) Run sequential Gaussian simulation (SGSIM), (5) Apply normal score transforms, (6) Decluster spatial data, (7) Generate multiple realizations for uncertainty. license: MIT metadata: version: 1.0.1 author: Geoscience Skills tags: '["Geostatistics", "Variogram", "Kriging", "SGSIM", "GSLIB", "Spatial Estimation"]' dependencies: '["geostatspy>=0.0.40", "numpy", "pandas", "matplotlib"]' complements: '["verde", "scikit-gstat"]' workflow_role: analysis skill_type: domain


GeostatsPy - Geostatistical Analysis

Quick Reference

python
import geostatspy.GSLIB as GSLIB
import geostatspy.geostats as geostats
import pandas as pd
df = pd.read_csv('data.csv')
df['npor'], tvpor, tnspor = geostats.nscore(df, 'porosity') # Transform
lag, gamma, npairs = geostats.gamv(df, 'X', 'Y', 'npor', # Variogram
tmin=-9999, tmax=9999, xlag=50, xltol=25, nlag=15,
azm=0, atol=22.5, bandwh=9999, bandwd=9999)
vario = GSLIB.make_variogram(nug=0.0, nst=1, it1=1, cc1=1.0, # Model
azi1=0, hmaj1=300, hmin1=300)
est, var = geostats.kb2d(df, 'X', 'Y', 'npor', ..., vario=vario) # Krige

Key Functions

CategoryFunctions
Visualizationlocmap, pixelplt, hist
Variogramgamv, vmodel
Krigingkb2d, kb3d
Simulationsgsim, sisim
Transformsnscore, backtr
Declusteringdeclus

Common Operations

1. Normal Score Transform

python
df['npor'], tvpor, tnspor = geostats.nscore(df, 'porosity')
original = geostats.backtr(nscore_data, tvpor, tnspor, zmin=0, zmax=0.3)

2. Experimental Variogram

python
lag, gamma, npairs = geostats.gamv(
df, 'X', 'Y', 'npor',
tmin=-9999, tmax=9999, # Trimming limits
xlag=50, xltol=25, # Lag distance, tolerance
nlag=15, azm=0, atol=22.5, bandwh=9999, bandwd=9999)

3. Variogram Model

python
# Types: 1=spherical, 2=exponential, 3=gaussian
vario = GSLIB.make_variogram(
nug=0.0, nst=1, # Nugget, number of structures
it1=1, cc1=1.0, # Type, sill contribution
azi1=0, hmaj1=300, hmin1=300) # Azimuth, major/minor range

4. Kriging (kb2d)

python
est, var = geostats.kb2d(
df, 'X', 'Y', 'npor', tmin=-9999, tmax=9999,
nx=50, xmn=25, xsiz=50, # Grid X: ncells, origin, size
ny=50, ymn=25, ysiz=50, # Grid Y
nxdis=1, nydis=1, ndmin=1, ndmax=10,
radius=500, ktype=0, skmean=0.0, vario=vario) # ktype: 0=simple, 1=ordinary

5. Sequential Gaussian Simulation

python
sim = geostats.sgsim(
df, 'X', 'Y', 'npor', wcol=-1, scol=-1,
tmin=-9999, tmax=9999, itrans=0,
ismooth=0, dession=0, dmession=0,
zmin=-4, zmax=4, ltail=1, ltpar=0, utail=1, utpar=0,
nsim=1, nx=50, xmn=25, xsiz=50, ny=50, ymn=25, ysiz=50,
nz=1, zmn=0, zsiz=1, seed=73073,
ndmin=1, ndmax=10, nodmax=10, radius=500, radius1=500,
sang1=0, sang2=0, sang3=0, mxctx=10, mxcty=10, mxctz=1,
ktype=0, vario=vario)

6. Declustering

python
wts, cell_size, ncut = geostats.declus(
df, 'X', 'Y', 'porosity', iminmax=1, noff=10, ncell=20, cmin=10, cmax=500)
declustered_mean = np.average(df['porosity'], weights=wts)

Variogram Models

CodeModelUse Case
1SphericalMost common, finite range
2ExponentialReaches sill asymptotically
3GaussianVery smooth, parabolic near origin
4PowerUnbounded, fractal-like

Key Parameters

ParameterDescription
nugNugget effect (measurement error + micro-scale variation)
sillTotal variance (nugget + structure contributions)
rangeDistance where correlation becomes negligible
azimuthDirection of maximum continuity (degrees from N)
ktype0=simple kriging (known mean), 1=ordinary kriging

When to Use vs Alternatives

Use CaseToolWhy
GSLIB-style workflowsGeostatsPyDirect port of GSLIB programs to Python
SGSIM / SISIM simulationGeostatsPyFull GSLIB simulation engine
Declustering spatial dataGeostatsPyBuilt-in declus function
Modern variogram APIscikit-gstatCleaner API, sklearn integration
Kriging only (no simulation)pykrigeFocused API, universal kriging support
Random field generationgstoolsFlexible covariance models, field generation
Large-scale 3D geomodellingSGeMS / PetrelGUI-based, industrial workflows
Indicator simulationGeostatsPy (sisim)Categorical property simulation

Choose GeostatsPy when: You need GSLIB-compatible workflows in Python, especially for sequential simulation (SGSIM/SISIM), declustering, or if you are familiar with GSLIB parameter conventions. Best for reservoir characterization workflows.

Choose scikit-gstat when: You prefer a modern scikit-learn-style API for variogram analysis and kriging, with better integration into Python data science workflows.

Choose pykrige when: You only need kriging interpolation (no simulation) and want universal kriging with external drift or regression kriging capabilities.

Common Workflows

Variogram Analysis and Kriging Interpolation

  • [ ] Load spatial data into a pandas DataFrame
  • [ ] Explore data with GSLIB.locmap() and GSLIB.hist()
  • [ ] Check for clustering and decluster with geostats.declus() if needed
  • [ ] Apply normal score transform with geostats.nscore()
  • [ ] Compute experimental variogram with geostats.gamv() (isotropic first)
  • [ ] Check directional variograms for anisotropy (azimuths 0, 45, 90, 135)
  • [ ] Fit variogram model with GSLIB.make_variogram()
  • [ ] Overlay model on experimental variogram to verify fit
  • [ ] Run kriging with geostats.kb2d() (ktype=1 for ordinary)
  • [ ] Run SGSIM for uncertainty quantification (50-100 realizations)
  • [ ] Back-transform results with geostats.backtr()
  • [ ] Validate with cross-validation or holdout data

Common Issues

IssueSolution
Variogram doesn't reach sillIncrease nlag or xlag to capture full range
Kriging produces negative valuesBack-transform after kriging, not before
SGSIM artifactsCheck grid definition (xmn, xsiz) matches data extent
Too few variogram pairsIncrease atol (angular tolerance) or xltol (lag tolerance)
Hole effect in variogramMay indicate periodicity; try nested structures

Tips

  1. Always transform to normal scores - Most methods assume Gaussian
  2. Start isotropic - Add anisotropy only if justified by directional variograms
  3. Check variogram pairs - Ensure enough pairs at each lag
  4. Multiple realizations - Use 50-100+ for uncertainty quantification
  5. Back-transform last - Apply to final results only

References

  • [GSLIB Programs](references/gslib_programs.md) - GSLIB program reference
  • [Simulation Methods](references/simulation_methods.md) - SGSIM, SISIM, and other methods

Scripts

  • [scripts/kriging_example.py](scripts/kriging_example.py) - Complete kriging workflow
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