三度体（均质模型）位场波谱的正演计算

本文给出任意指向的均质直线段、多边形面和多面体的重磁异常谱的解析表达式。利用它们可以进行不规则三度体的重磁异常谱的数值计算。此外,尚导出任意指向的斜平行六面体重磁异常谱的解析表达式。这些表达式结构简单,易于计算,用作位场的正演反演计算都十分方便。

COMPUTATION OF SPECTRUM OF POTENTIAL FIELD DUE TO 3-DIMENSIONAL BODIES （HOMOGENEOUS MODELS）

Analytical expressions of spectra of gravity and magnetic anomalies on the plane z0 = 0 due to a sloping hemogeneous straight line segment or a polygon have beenderived. With the help of these expressions Fourier transform （?）g （u, v ） from a uniform polyhedron is given bywhere ρ is the density contrast, nj is the outward normal to Si, the ith-polygon of its surface, βi is the strike direction of Si, αij is the direction of the jth-edge of Si, Zij is a vector with components （xij, yij, zij） , the coordinates of the jth-apex of Si, andBesides, the spectrum expressions of gravity and magnetic anomalies of a parallel hexahedron are given, which are relatively simple and convenient for use.