3D electromagnetic modeling using staggered finite differences
Abstract
The method of finite differences has been employed to solve a variety of 3D electromagnetic (EM) forward problems arising in geophysical applications. Specific sources considered include dipolar and magnetotelluric (MT) field excitation in the frequency domain. In the forward problem, the EM fields are simulated using a vector Helmholtz equation for the electric field, which are approximated using finite differences on a staggered grid. To obtain the fields, a complex-symmetric matrix system of equations is assembled and iteratively solved using the quasi minimum method (QMR) method. Perfectly matched layer (PML) absorbing boundary conditions are included in the solution and are necessary to accurately simulate fields in propagation regime (frequencies > 10 MHZ). For frequencies approaching the static limit (< 10 KHz), the solution also includes a static-divergence correction, which is necessary to accurately simulate MT source fields and can be used to accelerate convergence for the dipolar source problem.
- Authors:
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE Office of Energy Research, Washington, DC (United States)
- OSTI Identifier:
- 501494
- Report Number(s):
- SAND-97-1295C; CONF-970847-3
ON: DE97006366; TRN: 97:004454
- DOE Contract Number:
- AC04-94AL85000
- Resource Type:
- Conference
- Resource Relation:
- Conference: IGARSS 97: international geoscience and remote sensing symposium, Singapore (Singapore), 3-8 Aug 1997; Other Information: PBD: 1997
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES; 99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; 66 PHYSICS; ELECTROMAGNETIC RADIATION; PARTIAL DIFFERENTIAL EQUATIONS; MAGNETOTELLURIC SURVEYS; FINITE DIFFERENCE METHOD; THREE-DIMENSIONAL CALCULATIONS; PARALLEL PROCESSING; BOUNDARY CONDITIONS; GEOPHYSICS; CONVERGENCE
Citation Formats
Newman, G A, and Alumbaugh, D L. 3D electromagnetic modeling using staggered finite differences. United States: N. p., 1997.
Web.
Newman, G A, & Alumbaugh, D L. 3D electromagnetic modeling using staggered finite differences. United States.
Newman, G A, and Alumbaugh, D L. 1997.
"3D electromagnetic modeling using staggered finite differences". United States. https://www.osti.gov/servlets/purl/501494.
@article{osti_501494,
title = {3D electromagnetic modeling using staggered finite differences},
author = {Newman, G A and Alumbaugh, D L},
abstractNote = {The method of finite differences has been employed to solve a variety of 3D electromagnetic (EM) forward problems arising in geophysical applications. Specific sources considered include dipolar and magnetotelluric (MT) field excitation in the frequency domain. In the forward problem, the EM fields are simulated using a vector Helmholtz equation for the electric field, which are approximated using finite differences on a staggered grid. To obtain the fields, a complex-symmetric matrix system of equations is assembled and iteratively solved using the quasi minimum method (QMR) method. Perfectly matched layer (PML) absorbing boundary conditions are included in the solution and are necessary to accurately simulate fields in propagation regime (frequencies > 10 MHZ). For frequencies approaching the static limit (< 10 KHz), the solution also includes a static-divergence correction, which is necessary to accurately simulate MT source fields and can be used to accelerate convergence for the dipolar source problem.},
doi = {},
url = {https://www.osti.gov/biblio/501494},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Jun 01 00:00:00 EDT 1997},
month = {Sun Jun 01 00:00:00 EDT 1997}
}