任意形状地质体非均匀磁化磁异常B样条函数计算法

Calculating the magnetic anemaly of arbitrarily-shaped geological body with nonuniform susceptibility by making use of B-spline function

在磁测资料解释中,形态复杂地质体非均匀磁化磁异常的正演计算一直是非常重要且有待解决的问题。本文以 B 样条函数的插值、求导、求积的性质为基础,建立了 B 样条函数求解复杂地质体非均匀磁化磁异常的二维、三维问题的计算方法。理论模型计算表明:该方法能够解决磁化率参数不均匀、形态任意地质体磁异常的正演问题,且计算精度较高、令人满意。

The calculation of magnetic anomaly of complex-shaped geological bo- dy with nonuniform susceptibility has been an important problem to be resolved in magnetic data interpretation.On the basis of interpolation, derivation and integral properties of B-spline function,we have develo- ped the methods for calculating 2D and 3D magnetic anomalies of comp- lex geological body with nonuniform susceptibility by making use of B- spline function.The theoretical modeling says that this method can be used to calculate magnetic anomaly of arbitrarily-shaped geological body with nonuniform susceptibility,the result being high-accurate and satisfying.