MODE:
geophysics · avo

AVO Intercept/Gradient Classification

Class from (R₀,G) sign/magnitude; screening attributes A×B = R₀·G, A+B = R₀+G
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Inputs
Description
Classifies an AVO intercept/gradient (R0, G) pair into the Rutherford-Williams (1989) Class I-III / Castagna-Swan (1997) Class IV gas-sand scheme, and computes the A×B and A+B screening attributes commonly used as standalone hydrocarbon-indicator volumes.
Variables
Variable symbols, units, and descriptions for this calculation
SymbolUnitDescription
ClassRutherford-Williams/Castagna Class
A×BIntercept × Gradient (Screening Attribute)
A+BIntercept + Gradient (Far-Angle Proxy)
R₀Zero-offset (normal-incidence) reflectivity, typically taken from the Shuey/Aki-Richards intercept or a seismic intercept-stack attribute volume.
GAVO gradient describing amplitude change with offset, typically taken from the Shuey gradient or a seismic gradient-stack attribute volume.
Assumptions
  • R0 and G were derived consistently (same convention/sign), ideally from shuey_avo or an equivalent attribute volume using the same polarity convention
  • The target is a single, isolated reflector (top-of-sand-style contrast), not a tuned/complex multi-reflector package
  • Class boundaries are gradational, not sharp physical thresholds — see limitations
Limitations
  • The R0≈±0.02 class boundaries used here are a commonly-taught rule of thumb, not a universal precisely-defined physical cutoff — literature crossplot templates use a background trend line, not a fixed number
  • Class assignment alone cannot confirm hydrocarbons — lithology, tuning, and processing/polarity errors can all mimic an anomalous class
  • Requires R0/G in a consistent SEG-normal-polarity convention; a reversed-polarity dataset will misclassify
Use Cases
  • Attribute-volume screening: Classify an (R0,G) attribute volume pixel-by-pixel for hydrocarbon-indicator classes ahead of prospect ranking.
  • Well-tie class confirmation: Confirm which Rutherford-Williams/Castagna class a specific well-tied horizon belongs to before choosing a stacking/inversion strategy.
  • DHI screening attribute: Compute the standalone A×B product attribute commonly used as a bright-spot screening volume.
Related Calculations
Region Notes
Gulf of Mexico
The original Rutherford-Williams (1989) dataset was Gulf of Mexico gas sands — Class III (R0<0, G<0) remains the dominant, best-calibrated class in this basin.
Permian Basin
Wolfcamp/Bone Spring targets frequently plot as Class IIp or Class I (small-to-large positive R0) rather than classic Class III — do not force a Gulf-of-Mexico-style Class III expectation onto Permian carbonate-adjacent targets.
Global
Always calibrate class boundaries against a local background (wet) trend crossplot where possible, rather than relying solely on the fixed |R0|≈0.02 rule used here.
References
Primary source
Primary source
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