THREE-DIMENSIONAL DC RESISTIVITY FORWARD MODELLING USING FINITE ELEMENTS IN COMPARISON WITH FINITE-DIFFERENCE SOLUTIONS
- DSpace Home
- →
- Геология России
- →
- ELibrary
- →
- View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.
THREE-DIMENSIONAL DC RESISTIVITY FORWARD MODELLING USING FINITE ELEMENTS IN COMPARISON WITH FINITE-DIFFERENCE SOLUTIONS
Li Yu.; Spitzer K.
xmlui.dri2xhtml.METS-1.0.item-citation:
Geophysical Journal International, 2002, 151, 3, 924-934
Date:
2002
Abstract:
A 3-D finite-element scheme for direct current resistivity modelling is presented. The singularity is removed by formulating the problem in terms of the secondary potential, which improves the accuracy considerably. The resulting system of linear equations is solved using the conjugate gradient method. The incomplete Cholesky preconditioner with a scaled matrix has been proved to be faster than the symmetric successive overrelaxation preconditioner. A compact storage scheme fully utilizes the sparsity and symmetry of the system matrix. The finite-element (FE) and a previously developed finite-difference (FD) scheme are compared in detail. Generally, both schemes show good agreement, the relative error in apparent resistivity for a vertical dike model presented in this paper is less than 0.5 per cent overall. The FD scheme produces larger errors near the conductivity contrast, whereas the FE scheme requires approximately 3.4 times as much storage as the FD scheme and is less robust with respect to coarse grids. As an improvement to the forward modelling scheme, a modified singularity removal technique is presented. A horizontally layered earth or a vertical contact is regarded as the normal structure, the solution of which is the primary potential. The effect of this technique is demonstrated by two examples: a cube in two-layered earth and a cube near a vertical contact.
Files in this item
This item appears in the following Collection(s)
-
ELibrary
Метаданные публикаций с сайта https://www.elibrary.ru
Related items
Showing items related by title, author, creator and subject.
-
COMPARISON OF FINITE DIFFERENCE AND FINITE ELEMENT SOLUTIONS TO THE VARIABLY SATURATED FLOW EQUATION Simpson M.J.; Clement T.P. (2003)Numerical solutions to the equation governing variably saturated flow are usually obtained using either the finite difference (FD) method or the finite element (FE) method. A detailed comparison of these methods shows that ...
-
Бутов Владимир Григорьевич; Никульчиков Андрей Викторович; Никульчиков Виктор Кенсоринович; Солоненков Виктор Александрович; Ящук Алексей Александрович; Butov, Vladimir Grigorievich; Nikulchikov, Andrei Viktorovich; Nikulchikov, Viktor Kensorinovich; Solonenko, Victor Alexandrovich; Yashchuk, Alexey Alexandrovich (Томский политехнический университет, 2018)Актуальность. При эксплуатации нефтяных резервуаров часто возникает проблема отложения твердых частиц и тяжелых парафинистых осадков на днище резервуара. Выпадение данных осадков влечет за собой уменьшение полезного объема ...
-
Панов Антон Владимирович; Назаров Леонид Анатольевич; Назарова Лариса Алексеевна; Карчевский Андрей Леонидович (Федеральное государственное бюджетное образовательное учреждение высшего образования «Сибирский государственный университет геосистем и технологий», 2016)Разработана и методом конечных элементов реализована модель углепородного массива горизонтально-слоистой структуры. С использованием данных лабораторных экспериментов по нагружению угольных образцов получены эмпирические ...
Search DSpace
Browse
-
All of DSpace
-
This Collection