摘要
在有限元数值正演模拟中,提高基函数阶数是提升有限元正演模拟精度的有效途径。然而,常规有限元只能全局使用同一阶数的基函数。针对常规有限元正演模拟的精度与效率之间难以兼顾的问题,提出一种基于叠层基函数的有限元方法。该方法利用叠层基函数的特性,实现仅对地表单元基函数阶数的提升,从而在保证计算效率的前提下提高数值正演模拟的精度。为验证方法的有效性和效率,选取3个典型的地电模型进行了音频大地电磁正演模拟。模拟结果表明,所提出的方法在计算时间小幅增加的情况下,能够有效提升正演模拟的精度,为电磁法高效数值正演模拟提供了一种新思路。
Increasing the polynomial order of basis functions is an effective strategy for enhancing the accuracy of finite element-based numerical simulations in geophysics.A conventional finite element method typically employs the basis functions with a uniform polynomial order across the entire computational domain.As a result,a higher order significantly increases computational cost.To address this challenge,a finite element method based on hierarchical basis functions is proposed.This method enables local p-refinement specifically for surface elements by using hierarchical basis functions and thereby improves the accuracy of numerical forward modeling without compromising computational efficiency.The validation through audiomagnetotelluric forward modeling on three typical geoelectric models demonstrates that the proposed method significantly enhances the accuracy of forward modeling with only a small increase in computation time,offering a novel approach for efficient numerical electromagnetic forward modeling.
作者
张阳阳
杜威
王芝水
缪旭煌
郭辰
ZHANG Yangyang;DU Wei;WANG Zhishui;MIAO Xuhuang;GUO Chen(Geological Exploration Technology Institute of Anhui Province,Hefei 230031,China;School of Earth Sciences,Yunnan University,Kunming 650500,China)
出处
《石油物探》
北大核心
2025年第3期587-594,共8页
Geophysical Prospecting For Petroleum
基金
云南省基础研究项目(202301AT070163)资助。
关键词
叠层基函数
音频大地电磁法
电磁法正演
数值模拟
有限元正演模拟
hierarchical basis function
audio frequency magnetotelluric
electromagnetic forward modeling
numerical modeling
finite element forward modeling
作者简介
第一作者:张阳阳(1989-),男,工程师,研究方向为电磁法数据处理与解释。E-mail:abner361@qq.com;通信作者:杜威(1990-),女,博士,副教授,研究方向为地球物理正反演。E-mail:duwei@ynu.edu.cn。
