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三维大地电磁测深阶段式自适应正则化反演

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如何合理地确定正则化因子是地球物理正则化反演领域的研究热点.阶段式自适应算法可以充分发挥模型稳定器的作用,提高反演结果的稳定性,但是该算法仅在一维、二维大地电磁测深(Magnetotelluric,MT)反演中得以实现.目前,三维MT反演正在快速发展,基于此,本文将阶段式自适应正则化算法引入三维MT正则化反演,按照"阶段"而不是"迭代次数"自适应地调整正则化因子的取值,进而观察反演结果的变化.本文设计单块体和双块体模型试验,并特意设置了较大的迭代次数,进而观察反演结果随反演进程的变化情况.模型试验表明:阶段式自适应算法是适用于三维MT正则化反演的,该算法在反演的后期可以更好地保持解的稳定,故此,从解的稳定性这个角度去考量正则化因子的选择是一种值得探索的方向.
Three-dimensional Magnetotelluric Staged Adaptive Regularization Inversion
How to reasonably determine the regularization factor is a research focus in the field of geophysical regularization inversion.The staged adaptive algorithm can fully exert the role of a stabilizer and improve the stability of inversion results.But the algorithm is im-plemented only in the one-dimensional and two-dimensional MT inversions.Based on the rapid development of three-dimensional MT inversion,this paper introduces the staged adap-tive regularization algorithm into the three-dimensional MT regularization inversion,adap-tively adjusts the value of a regularization factor according to the"stage"rather than the"in-teration",and achieves a balance between the stabilizing function and the misfit function.This paper designs single-block and double-block model tests,and deliberately sets a larger number of iterations to observe the change of the inversion results.Model tests show that the staged adaptive algorithm is suitable for three-dimensional MT regularization inversion.This algorithm can better maintain the stability of the solution in the later stage of the inver-sion.Therefore,the selection of regularization factors from the perspective of solution sta-bility is a direction worth exploring.

magnetotelluricstaged adaptive algorithmthree-dimensional inversionregu-larization factor

万晓东、陈晓、程天君、陈辉、余辉、鄢文强、王金凤、朱树元

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东华理工大学地球物理与测控技术学院,江西南昌 330013

东华理工大学核资源与环境国家重点实验室,江西南昌 330013

中石化石油工程地球物理公司江汉分公司,湖北潜江 433100

大地电磁测深 阶段式自适应算法 三维反演 正则化因子

国家自然科学基金国家自然科学基金国家自然科学基金国家重点研发计划江西省自然科学基金江西省自然科学基金中国石化石油工程地球物理公司科研项目

4206400842130811416041042023YFC290660220224BAB20304620171BAB213031SGC-2021-05

2024

10.3969/j.issn.1672-7940.2024.03.017

工程地球物理学报
中国地质大学（武汉）,长江大学

工程地球物理学报

CSTPCD
影响因子：0.994
ISSN：1672-7940
年,卷(期)：2024.21(3)