磁力测深公式的推导及应用

本文从地球物理场出发，通过严密的数学物理推导，提出了磁力测深公式，并导出了著名的重力测深公式的更一般表达式。为了得到更为精确的解，本文又提出了应用最优化理论的空间域迭代算法，并根据地球物理模型对于高斯优化法进行了改进，在算法上有所创新，使其在计算机上实现时算法简单，计算速度快。文中还列举了一些模型的实验结果，对磁力测深公式及迭代算法的有效性及可靠性进行了论证。用本文方法对实际资料的处理结果是令人满意的，证明该方法有一定的实用性。

THE DERIVATION OF MAGNETIC SOUNDING FORMULA AND ITS APPLICATION

In this paper, based on the geophysical field,the magnetic sounding formula and more generalone of gravity sounding are submitted by way of the derivation of mathematics and physics in geo-physical circle. In order to receive more exact solution,the iterative inversion in space domain is putforward with optimization theory. On the other hand,in light of geophysical model,we improve theGauss optimization theory so that the calculating method is simple and the computing soeed is veryquick.With an amount of test results of various models listed in this paper,the effectivity and reliabili-ty of the magnetic sounding formula are also discussed.It is satisfaction to process the practical datausing the method proposed in this paper,and its practical value has been testified.