首页|基于结合先验信息的最小支撑稳定器的三维重力正则化反演

基于结合先验信息的最小支撑稳定器的三维重力正则化反演

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如何将先验信息融入地球物理反演,进而改善反演的不适定性,一直是地球物理反演领域的研究热点.将先验信息直接融入目标函数的方法通常会增加目标函数的复杂性.为了不在目标函数上增加约束项,更加简单、方便地实现先验信息的融入,本文以三维重力正则化反演为例,将先验信息融入最小支撑稳定器,实现了对最小支撑稳定器的重构,并设计了单块体和双块体模型,进行对比试验.试验结果表明:相较于基于最小支撑稳定器的三维重力反演结果,基于结合先验信息的最小支撑稳定器的三维重力正则化反演更好地还原了异常体的几何形态和物性分布;此外,基于新方法反演的误差迭代曲线收敛更快,拟合精度更高.故此,通过最小支撑稳定器的重构实现先验信息的融入是可行的,该方法适用于三维重力反演,具有实现方便且不额外增加约束项的优点.
Three-dimensional Gravity Regularization Inversion Using Minimum Support Stabilizer Integrated with Prior Information
How to integrate prior information into geophysical inversion and improve the in-definability of inversion has always been a research hotspot in the field of geophysical inver-sion.The methods of integrating prior information directly a objective function often increase the complexity of the objective function.In order not to add constraints terms to the objec-tive function and realize the integration of prior information more simply and conveniently,this paper takes a three-dimensional gravity regularization inversion as an example,in-tegrates prior information into the minimum support stabilizer,realizes the reconstruction of the minimum support stabilizer,and designs the single cube and double cube models for com-parative experiments.The experimental results show that compared with the three-dimen-sional gravity inversion results based on the minimum support stabilizer,the three-dimen-sional gravity regularization inversion based on the minimum support stabilizer combined with prior information can better restore the geometric morphology and physical property distribution of the anomalies,and the error iterative curve based on the new method conver-ges faster and the fitting accuracy is higher.Therefore,it is feasible to realize the integration of prior information through the reconstruction of the minimum support stabilizer,and this method is suitable for three-dimensional gravity inversion,which has the advantages of con-venient implementation and no additional constraints.

minimum support stabilizerprior informationgravitythree-dimensionalreg-ularization

鄢文强、陈晓、程天君、王金凤、赵斐宇、谢启茂、叶海龙

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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

江西省地质局水文地质大队,江西南昌 330013

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最小支撑稳定器 先验信息 重力 三维 正则化

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赣鄱俊才支持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江西省重点研发计划"揭榜挂帅"项目

4206400842130811416041042023YFC2906602QN202303120224BAB20304620171BAB213031SGC-2021-0520223BBG74005

2024

10.3969/j.issn.1672-7940.2024.03.018

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)