Forward modeling of applied geophysics methods using Comsol and comparison with analytical and laboratory analog models

Forward modeling is useful in geophysics both as a tool to interpret data in a research setting and as a tool to develop physical understanding in an educational setting. Gravity, magnetics, resistivity, and induced polarization are methods used in applied geophysics to probe Earth's subsurface. In this contribution, we present forward models of these geophysical techniques using the finite-element modeling package Comsol. This package allows relatively easy implementation of these models and, as part of the AC/DC module, allows exterior boundaries to be placed at infinity, a boundary condition that is frequently encountered in geophysics. We compare the output of the finite-element calculations with analytical solutions and, for the resistivity method, with laboratory-scale analog experiments and demonstrate that these are in excellent agreement.

[1]  Matthew J. Yedlin,et al.  Some refinements on the finite-difference method for 3-D dc resistivity modeling , 1996 .

[2]  Colin Farquharson,et al.  Three-dimensional modelling of gravity data using finite differences , 2009 .

[3]  T. Günther,et al.  Three‐dimensional modelling and inversion of dc resistivity data incorporating topography – II. Inversion , 2006 .

[4]  Jingtian Tang,et al.  3D direct current resistivity modeling with unstructured mesh by adaptive finite-element method , 2010 .

[5]  Tore Ingvald Bjørnarå,et al.  Absorbing boundary domain for CSEM 3D modelling , 2010 .

[6]  George A. Parks Computers in the mineral industries , 1964 .

[7]  L. B. Pedersen,et al.  END CORRECTIONS IN POTENTIAL FIELD MODELING , 1979 .

[8]  Douglas W. Oldenburg,et al.  Magnetic forward modelling and inversion for high susceptibility , 2006 .

[9]  Peter K. Kitanidis,et al.  Efficient solution of nonlinear, underdetermined inverse problems with a generalized PDE model , 2008, Comput. Geosci..

[10]  John M. Reynolds,et al.  An Introduction to Applied and Environmental Geophysics , 1997 .

[11]  Adam Pidlisecky,et al.  FW2_5D: A MATLAB 2.5-D electrical resistivity modeling code , 2008, Comput. Geosci..

[12]  Qinzhong Ma The boundary element method for 3-D dc resistivity modeling in layered earth , 2002 .

[13]  M. Talwani Computation with the help of a digital computer of magnetic anomalies caused by bodies of arbitrary shape , 1965 .

[14]  R. T. Shuey,et al.  End Corrections In Magnetic Profile Interpretation , 1973 .

[15]  J. Coggon Electromagnetic and electrical modeling by the finite element method , 1971 .

[16]  Oliver Mohnke,et al.  Microscale modelling of the frequency dependent resistivity of porous media , 2009 .

[17]  M. Landisman,et al.  Rapid gravity computations for two‐dimensional bodies with application to the Mendocino submarine fracture zone , 1959 .

[18]  Ye Yuan,et al.  Three-dimensional crustal structure in central Taiwan from gravity inversion with a parallel genetic algorithm , 2004 .

[19]  D. A. Dunnett Classical Electrodynamics , 2020, Nature.

[20]  L. P. Geldart,et al.  Applied Geophysics: Preface to the Second Edition , 1990 .

[21]  Manik Talwani,et al.  Rapid computation of gravitational attraction of three-dimensional bodies of arbitrary shape , 1960 .

[22]  A. Dey,et al.  Resistivity modelling for arbitrarily shaped two-dimensional structures , 1979 .

[23]  G. W. Hohmann,et al.  An investigation of finite-element modeling for electrical and electromagnetic data in three dimensions , 1981 .