The Combinatorial–Variational Approach to Solving Linear and Nonlinear Inverse Problems in Geophysics

IF 0.7 4区地球科学 Q4 GEOSCIENCES, MULTIDISCIPLINARY

Doklady Earth Sciences Pub Date : 2024-06-20 DOI:10.1134/s1028334x24602499

I. E. Stepanova, I. I. Kolotov

引用次数: 0

Abstract

The problem of interpreting heterogeneous and multiprecision geophysical data is considered from the point of view of combinatorics within the framework of the approximation approach. The discrete nature of information about physical fields and their sources imposes a number of limitations on the possibilities of adequate data interpretation. Combinatorial methods of discrete mathematics make it possible to describe accurately the criteria for selecting data to approximate the elements of anomalous potential fields, as well as for controlling the quality of the approximate solution of inverse problems, both linear and nonlinear.

Abstract Image

查看原文本刊更多论文

解决地球物理学线性和非线性逆问题的组合变量法

摘要在近似方法的框架内，从组合学的角度考虑了解释异构和多精度地球物理数据的问题。有关物理场及其来源的信息的离散性对充分解释数据的可能性造成了一些限制。离散数学的组合方法使我们有可能准确地描述选择数据的标准，以逼近异常势场的元素，以及控制线性和非线性逆问题近似解的质量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Doklady Earth Sciences 地学-地球科学综合

CiteScore

1.40

自引率

22.20%

发文量

138

审稿时长

3-6 weeks

期刊介绍： Doklady Earth Sciences is a journal that publishes new research in Earth science of great significance. Initially the journal was a forum of the Russian Academy of Science and published only best contributions from Russia. Now the journal welcomes submissions from any country in the English or Russian language. Every manuscript must be recommended by Russian or foreign members of the Russian Academy of Sciences.