重力数据计算与测量处理的计算机模拟

S. Zerkal, N. Kondratyev, O. Chashchin
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引用次数: 0

摘要

本文提出了一种求解探索性重力反问题的计算算法,该反问题涉及两个孤立体的可分离性,这两个孤立体会产生与测量到的重力大小不同的异常。它是基于使用重力场垂直分量的多级测量结果。将获得的两级重力测量数据转换为方向(方位角)上的重力场强度数值。它允许求解孤立非齐次的逆局部化问题。本文提出了一种求解隔振问题的数值方法。提出了一种求解密度过大物体可分性问题的算法,该算法基于求引力场强度矢量沿两级重力测量点间方向方位角方向和的方法。用这种方法确定的平衡方向向量,定性地解决了被试体可分性逆问题。通过改变测试体的位置(几何参数)以及产生重力异常的宿主岩石和体的密度,可以细化非均质性的定量特征。将经验数据残差函数的范数最小化-分层测量结果和测量水平上不同数据的重力计算值,给出了假设形状试验体最佳位置参数的准解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Computer Simulation of Computational and Measurement Processing of Gravimetric Data
The paper proposes the computational algorithm for solving the inverse problem of exploratory gravimetry, consisting in the separability of two isolated bodies that generate anomalies of the measured magnitude of the gravitational force. It is based on the use of the results of multi-level measurements of the gravitational field vertical component. The obtained data of gravity measurements at two levels are converted into numerical values of the gravitational field strength in directions (azimuths). It allows to solve the inverse localization problem for isolated inhomogeneities. This article presents a numerical method for solving the isolation problem. An algorithm for solving the problem of separability of bodies with excessive density is proposed, based on the method of finding the sum of the vectors of the gravitational field strength along the azimuths of the directions between points at two levels of gravity measurement. The vectors of balancing directions determined in this way give a qualitative solution to the inverse problem of separability of test bodies. The quantitative characteristics of inhomogeneities are refined by varying the position (geometric parameters) of the test bodies, as well as the densities of the host rocks and bodies that generate gravitational anomalies. Minimizing the norm of the residual functional of empirical data - the results of stratified measurements and calculated values of the gravitational force for varied data at the measurement levels gives a quasi - solution - the parameters of the optimal location of the test bodies of the assumed shape.
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