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Curvature gradient attributes for improved fault characterization

This study by Jamie Rich and Kurt Marfurt from the University of Oklahoma investigates the application of curvature as a critical attribute for fault characterization. Curvature quantifies the bending of geological surfaces and is often combined with coherence for enhanced fault analysis. The paper highlights the importance of measuring curvature's direction and magnitude, particularly at inflection points where curvature changes sign. The research emphasizes that differentials of curvature can effectively define fault planes, with a call for further exploration of 3D applications to enhance its effectiveness.

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Curvature gradient attributes for improved fault characterization

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  1. Curvature gradient attributes for improved fault characterization Jamie Rich Kurt Marfurt University of Oklahoma ConocoPhillips School of Geology and Geophysics

  2. Review of Curvature for Faults • Curvature is commonly used along side coherency to characterize faulting • Curvature quantifies the degree of bending on a surface and is generalized as a volumetric attribute • We must consider direction and magnitude of curvature

  3. Direction of curvature measurement Circle with a radius equal to the inverse of curvature Largest curvature Smallest curvature Curvature

  4. Circle with a radius equal to the inverse of curvature Largest curvature Smallest curvature Curvature Direction of curvature measurement

  5. Circle with a radius equal to the inverse of curvature Largest curvature Smallest curvature Curvature Direction of curvature measurement

  6. Curvature

  7. Curvature as a Fault Attribute Largest Magnitude Positive Curvature Largest Magnitude Negative Curvature White, 2013

  8. Moving in the right direction Mai, 2010

  9. Curvature vs Coherence Mai, 2010

  10. Curvature Example Mai, 2010

  11. Curvature and Coherence Mai, 2010

  12. Curvature and Coherence Mai, 2010

  13. Flexure • In order to better locate the fault we are interested in the inflection point • Where does the curvature change sign? • Is that change positive or negative? • Coherency can’t tell us this!

  14. Derivative of Curvature

  15. Derivative of Curvature Gao, 2013

  16. Flexure in the normal curvature direction

  17. Generalizing the differentiation

  18. A few comments on the angle

  19. Volumetric Flexure

  20. Volumetric Flexure

  21. Maximum Curvature N Xline Inline

  22. Differential of Maximum Curvature in Maximum direction N Xline Inline

  23. A comment about signs Gao, 2013

  24. Maximum Curvature N Xline Inline

  25. Differential of Maximum Curvature in Minimum Direction N Xline Inline

  26. Maximum Curvature N Xline Inline

  27. Differential of Minimum Curvature in Maximum direction N Xline Inline

  28. Conclusions • Differentials of curvature (Flexure) can be useful for defining fault planes • Care must be used when defining directions and signs • Further consideration and 3D application may expand usefulness

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