密度随深度变化的二度体重力正演公式

2-D gravity forward formula showing density variation with depth.

沉积岩的密度是随深度而变化的 ,用重力资料研究盆地及其内部构造时必须考虑变密度的情况。本文把密度随深度的变化表示成任意次多项式函数 ,推导出了计算任意和规则形状二度变密度体重力异常的通用解析公式。通过对有关理论模型的计算 ,与其它已知方法对比表明 ,本文方法和公式正确、适应性强。

The density of sedimentary rock varies with depth. Density variation must be considered in researching sedimentary basin and its internal geologic structure with the use of gravimetric data. The variation of density with depth is expressed as a function of n order polynomial function to deduce general gravity anomaly formula for 2 D density variable body having arbitrary and regular shapes. Comparison of its theoretical result with others' results says that this method and its formula are right and highly adaptable.