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3-D DC resistivity forward modeling using the multi-resolution grid
Luleå University of Technology, Department of Civil, Environmental and Natural Resources Engineering, Geosciences and Environmental Engineering. (Exploration Geophysics)ORCID iD: 0000-0002-7484-667x
Luleå University of Technology, Department of Civil, Environmental and Natural Resources Engineering, Geosciences and Environmental Engineering. (Exploration Geophysics)ORCID iD: 0000-0002-5600-5375
University of Cologne, Cologne, Germany.
Oregon State University, Corvallis, USA.
2019 (English)In: Pure and Applied Geophysics, ISSN 0033-4553, E-ISSN 1420-9136Article in journal (Refereed) Epub ahead of print
Abstract [en]

We implemented a novel multi-resolution grid approach to direct current resistivity (DCR) modeling in 3-D. The multi-resolution grid was initially developed to solve the electromagnetic forward problem and helped to improve the modeling efficiency. In the DCR forward problem, the distribution of the electric potentials in the subsurface is estimated. We consider finite-difference staggered grid discretization, which requires fine grid resolution to accurately model electric potentials around the current electrodes and complex model geometries near the surface. Since the potential variations attenuate with depth, the grid resolution can be decreased correspondingly. The conventional staggered grid fixes the horizontal grid resolution that extends to all layers. This leads to over-discretization and therefore unnecessary high computational costs (time and memory). The non-conformal multi-resolution grid allows the refinement or roughening for the grid’s horizontal resolution with depth, resulting in a substantial reduction of the degrees of freedom, and subsequently, computational requirements. In our implementation, the coefficient matrix maintains its symmetry, which is beneficial for using the iterative solvers and solving the adjoint problem in inversion. Through comparison with the staggered grid, we have found that the multi-resolution grid can significantly improve the modeling efficiency without compromising the accuracy. Therefore, the multi-resolution grid allows modeling with finer horizontal resolutions at lower computational costs, which is essential for accurate representation of the complex structures. Consequently, the inversion based on our modeling approach will be more efficient and accurate.

Place, publisher, year, edition, pages
Springer, 2019.
Keywords [en]
Multi-resolution grid, DCR, 3-D forward modelling, finite-difference
National Category
Geophysics
Research subject
Exploration Geophysics
Identifiers
URN: urn:nbn:se:ltu:diva-76651DOI: 10.1007/s00024-019-02365-3Scopus ID: 2-s2.0-85075141212OAI: oai:DiVA.org:ltu-76651DiVA, id: diva2:1368922
Available from: 2019-11-08 Created: 2019-11-08 Last updated: 2019-11-25

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Gao, JingyuSmirnov, Maxim

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