变密度界面模型重力异常反演的B样条函数法  

INTERFACIAL MODELS OF VARIABLE DENSITY AND GRAVITY INVERSION BY B-SPLINE

作　　者：王硕儒[1] 汪炳柱[1] 于增慧[1] 

机构地区：[1]青岛海洋大学

出　　处：《地球物理学进展》1996年第3期40-52,共13页Progress in Geophysics

基　　金：国家自然科学基金

摘　　要：重力异常反演是一个求解第一类非线性积分方程的问题。当三维界面起伏满足｜Δｈ｜＜０．４１４ｈ０和二维界面起伏满足－ｈ０＜Δｈ＜０．４１４ｈ０时，积分方程的被积函数可展成Δｈ的幂级数形式。界面上密度的变化可归结为升型、降型和过渡型三种。对于各种变密度的积分方程都可用统一式来表示，即：用迭代法和Ｂ样条函数法可求解该方程。方法对线性反演密度界面法是一种改进，也避免了Ｐａｒｋｅｒ公式反演密度界面时多次调用富氏变换所带来的积累误差。Gravity inversion is a problem of answering the first integral equation, If the change of the depth of density interface Δh satisfied-h_0<Δh< 0.414h_0 in two dimensions (|Δh| <0.414h_0 in three dimensions), the integrated function could be spread in power series.The various density above the interface can be considered rise, fall or transition models, or their combination. Then, the integral equation for gravity effect of these patterns may be generalized in united formula Interative technique and B-spline can be applied to solution of the equation.The presented method is a progress compared with Parker's formulas by which must call Fourier transform many times and yields accumulation error.

关 键 词：密度界面 重力反演 组合模型 B样条函数 

分 类 号：P631.12[天文地球—地质矿产勘探]