论在解决重力测量和磁力测量的反线性问题时构建最佳观测点网络

Pub Date : 2024-04-22 DOI:10.1134/s0965542524030151

I. E. Stepanova, D. V. Lukyanenko, I. I. Kolotov, A. V. Shchepetilov, A. G. Yagola, A. N. Levashov

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引用次数: 0

摘要

摘要研究了线性代数方程组的独特可解性，在应用积分方程或积分表示方法后，许多地球物理反演问题因离散化而简化为线性代数方程组。讨论了在处理来自实验观测的磁力测量和重力测量数据时出现的各种维度的奇异和非奇异系统的例子。就构建最佳实验观测点网络的方法得出结论。

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On the Construction of an Optimal Network of Observation Points when Solving Inverse Linear Problems of Gravimetry and Magnetometry

Abstract

Unique solvability of systems of linear algebraic equations is studied to which many inverse problems of geophysics are reduced as a result of discretization after applying the method of integral equations or integral representations. Examples of singular and nonsingular systems of various dimensions that arise when processing magnetometric and gravimetric data from experimental observations are discussed. Conclusions are drawn about methods for constructing an optimal network of experimental observation points.

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