Universität zu Köln

Gao, Jingyu ORCID: 0000-0002-7484-667X, Smirnov, Maxim ORCID: 0000-0002-5600-5375, Smirnova, Maria ORCID: 0000-0002-1497-5672 and Egbert, Gary (2021). A Comparison Study of Explicit and Implicit 3-D Transient Electromagnetic Forward Modeling Schemes on Multi-Resolution Grid. Geosciences, 11 (6). BASEL: MDPI. ISSN 2076-3263

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Abstract

This study compares the efficiency of 3-D transient electromagnetic forward modeling schemes on the multi-resolution grid for various modeling scenarios. We developed time-domain finite-difference modeling based on the explicit scheme earlier. In this work, we additionally implement 3-D transient electromagnetic forward modeling using the backward Euler implicit scheme. The iterative solver is used for solving the system of equations and requires a proper initial guess that has significant effect on the convergence. The standard approach usually employs the solution of a previous time step as an initial guess, which might be too conservative. Instead, we test various initial guesses based on the linear extrapolation or linear combination of the solutions from several previous steps. We build up the implicit scheme forward modeling on the multi-resolution grid, which allows for the adjustment of the horizontal resolution with depth, hence improving the performance of the forward operator. Synthetic examples show the implicit scheme forward modeling using the linearly combined initial guess estimate on the multi-resolution grid additionally reduces the run time compared to the standard initial guess approach. The result of comparison between the implicit scheme developed here with the previously developed explicit scheme shows that the explicit scheme modeling is more efficient for more conductive background models often found in environmental studies. However, the implicit scheme modeling is more suitable for the simulation with highly resistive background models, usually occurring in mineral exploration scenarios. Thus, the inverse problem can be solved using more efficient forward solution depending on the modeling setup and background resistivity.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Gao, Jingyu UNSPECIFIED orcid.org/0000-0002-7484-667X UNSPECIFIED Smirnov, Maxim UNSPECIFIED orcid.org/0000-0002-5600-5375 UNSPECIFIED Smirnova, Maria UNSPECIFIED orcid.org/0000-0002-1497-5672 UNSPECIFIED Egbert, Gary UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-579376
DOI:	10.3390/geosciences11060257
Journal or Publication Title:	Geosciences
Volume:	11
Number:	6
Date:	2021
Publisher:	MDPI
Place of Publication:	BASEL
ISSN:	2076-3263
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language FINITE-DIFFERENCE; MAXWELLS EQUATIONS; DIFFUSION; INVERSION; FIELDS Multiple languages Geosciences, Multidisciplinary Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/57937