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Three-dimensional DC Resistivity Modeling using Galerkin Finite Element Method Composed by Tetrahedral Elements

Journal of Engineering and Technological Sciences · Vol. 51 No. 4 (2019) · hlm. 516–536

DOI
10.5614/j.eng.technol.sci.2019.51.4.5
ISSN
2338-5502, 2337-5779
Terbit
2019-08-31
Penerbit
Directorate for Research and Community Services, Institut Teknologi Bandung
Bahasa
eng

Abstrak

Successful interpretation of DC resistivity data depends on the availability of a proper forward modeling scheme. In this study, a three-dimensional DC resistivity forward modeling scheme was developed using the finite element method. The finite element equations were obtained using a weakened form of the weighted-residual method called the Galerkin method. Discretization of the modeling domain was carried out by dividing it into smaller three-dimensional blocks and subdividing each block into five tetrahedral elements. A linear interpolation function was employed and elemental linear equations were set up, followed by formation of global matrix systems of equation and incorporation of proper boundary conditions. The conjugate gradient method was applied to solve the global system of equations, which in this study was proven to be more efficient than a direct solver, contributing to a 67% time reduction. Using a Wenner array configuration, comparison with theoretical calculation of the electric potential for a homogeneous model yielded a relative error of 3.66%. To confirm the applicability of this forward modeling scheme, apparent resistivity profiles for several basic three-dimensional subsurface resistivity models were compared with the analytical profiles, yielding an acceptable level of fitting.

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Mitra DjamalBandung Institute of Technology3
Irwan MeilanoAfiliasi tidak diketahui3
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Dini FitrianiAfiliasi tidak diketahui3
Hendra GunawanAfiliasi tidak diketahui2
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Anggie SusilawatiAfiliasi tidak diketahui2
Cevilla Amalia PrameswaryAfiliasi tidak diketahui2
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Rafiki RamadaniAfiliasi tidak diketahui2
Acep PurqonAfiliasi tidak diketahui2
Doddy SutarnoAfiliasi tidak diketahui2
R. KurniaBandung Institute of Technology1
Suprijadi SuprijadiBandung Institute of Technology1
Melany FebrinaAfiliasi tidak diketahui1
Eko SatriaAfiliasi tidak diketahui1
Martin LiessAfiliasi tidak diketahui1
Husnul HamdiAfiliasi tidak diketahui1
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Krishna Agra PranatiktaAfiliasi tidak diketahui1
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Bilqis Aulia PutriAfiliasi tidak diketahui1
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Bayu Gusti Pangestu AjiAfiliasi tidak diketahui1
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Metadata asli (oai_dc) 
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	<dc:title xml:lang="en-US">Three-dimensional DC Resistivity Modeling using Galerkin Finite Element Method Composed by Tetrahedral Elements</dc:title>
	<dc:creator>Srigutomo, Wahyu</dc:creator>
	<dc:creator>Anwar, Hairil</dc:creator>
	<dc:creator>Agustine, Eleonora</dc:creator>
	<dc:creator>Mahardika, Harry</dc:creator>
	<dc:subject xml:lang="en-US">apparent resistivity</dc:subject>
	<dc:subject xml:lang="en-US">conjugate gradient method</dc:subject>
	<dc:subject xml:lang="en-US">forward modeling</dc:subject>
	<dc:subject xml:lang="en-US">Galerkin finite element</dc:subject>
	<dc:subject xml:lang="en-US">Wenner configuration.</dc:subject>
	<dc:description xml:lang="en-US">Successful interpretation of DC resistivity data depends on the availability of a proper forward modeling scheme. In this study, a three-dimensional DC resistivity forward modeling scheme was developed using the finite element method. The finite element equations were obtained using a weakened form of the weighted-residual method called the Galerkin method. Discretization of the modeling domain was carried out by dividing it into smaller three-dimensional blocks and subdividing each block into five tetrahedral elements. A linear interpolation function was employed and elemental linear equations were set up, followed by formation of global matrix systems of equation and incorporation of proper boundary conditions. The conjugate gradient method was applied to solve the global system of equations, which in this study was proven to be more efficient than a direct solver, contributing to a 67% time reduction. Using a Wenner array configuration, comparison with theoretical calculation of the electric potential for a homogeneous model yielded a relative error of 3.66%. To confirm the applicability of this forward modeling scheme, apparent resistivity profiles for several basic three-dimensional subsurface resistivity models were compared with the analytical profiles, yielding an acceptable level of fitting.</dc:description>
	<dc:publisher xml:lang="en-US">Directorate for Research and Community Services, Institut Teknologi Bandung</dc:publisher>
	<dc:date>2019-08-31</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journals.itb.ac.id/index.php/jets/article/view/8082</dc:identifier>
	<dc:identifier>10.5614/j.eng.technol.sci.2019.51.4.5</dc:identifier>
	<dc:source xml:lang="en-US">Journal of Engineering and Technological Sciences; Vol. 51 No. 4 (2019); 516-536</dc:source>
	<dc:source>2338-5502</dc:source>
	<dc:source>2337-5779</dc:source>
	<dc:source>10.5614/j.eng.technol.sci.2019.51.4</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journals.itb.ac.id/index.php/jets/article/view/8082/pdf_4</dc:relation>
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