曲率属性及其在构造解释中的应用

Curvature attributes and their application in structural interpretation

分波数沿层二维曲率解释技术是最近兴起的解释新技术。文章从最基础的数学定义出发,阐述了曲线曲率的定义、物理意义及其在构造解释中的不足。在此基础上,重点描述了曲面的二维曲率,列表比较了其衍生属性的定义、物理含义和主要用途;讨论了差分法、傅氏变换法和分波数法计算曲率属性的算法以及应注意的问题;对等t0数据进行插值、迭代二维中值滤波处理后,用分波数法提取了道微分、倾角、方位角、平均曲率、高斯曲率、极大曲率、极小曲率、最大正曲率、最小负曲率、形态指数、倾向曲率、走向曲率、等值线曲率和弯曲度等14个曲率属性,并用道微分、方位角、走向、最大正曲率属性为例进行了断层和裂缝检测,取得了较好的应用效果。

Fractional-order 2D curvature attributes along horizon is a new interpretation technology developed recently. We expound the definition of the curvature, the physical meaning and its shortages in structural interpretation from the most basic mathematical definition. On this basis, we describe the curvature of 2D surface, and compare the definition, physical meaning and its main usage of surface-derived attribute. We also discussed the algorithm of the different method, Fourier transform method and fractional-order method and point out the problems that should be noted. After interpolation and 2D median filtering of to contour map, we extract fourteen attributes including trace difference, dip, azimuth, mean curvature, Gaussian curvature, maximum curvature, minimum curvature, most positive curvature, most negative curvature, shape index, dip curvature, strike curvature, contour curvature and curvedness with fractional-order method, and apply trace difference, azimuth, strike curvature and most posi- tive curvature to detect fault and fracture that to achieve better results.