计算变密度任意形状地质体重力异常的B样条函数法

B spline function method for calculating gravity field of density-variable source body with arbitrary shape

在重力资料解释中,复杂形状变密度地质体重力异常的正演计算一直是一个很重要的问题。本文以B样条函数的插值、求导、求积为基础,建立了用B样条函数正演二度和三度复杂形态变密度地质体重力异常的方法。文中选用节点非等距的三次B样条函数对模型和实例的计算表明,该方法是有效的,并且精度也较高。

The forward modeling of gravity field of density-variable source body with complex shape is a very important problem in gravimetric data interpretation. B spline function methods for calculating gravity fields of 2D and 3D density-variable source bodies with complex shape are developed on the basis of interpolation,derivation and integration of B spline function. Synthetic model and real data calculations using node-non-uniform curbic B spline function show that this method is feasible and brings accurate result.