Abstract
We have modeled the effect of a direct current (DC) electric field on the propagation of seismic waves by the pseudospectral time domain (PSTD) method, based on a set of governing equations for the poroelastic media. This study belongs to the more general term of the seismoelectric coupling effect. The set of physical equations consists of the poroelastodynamic equations for the seismic waves and the Maxwell’s equations for the electromagnetic waves; the magnitude of the seismoelectric coupling effect is characterized by the charge density, the electric conductivity, the Onsager coefficient, a function of the dielectric permittivity, the fluid viscosity, and the zeta potential. The poroelastodynamic vibration of a solid matrix generates and electric oscillation with the form of streaming current via the fluctuation of pore pressure. Meanwhile, fluctuating pore pressure also causes oscillatory variation of the electric resistivity of the solid matrix. The simulated poroelastic wave propagation and electric field variation with an existing background DC electric field are compared with the results of a physical experiment carried out in an oilfield. The results show that the DC electric field can significantly affect the propagating elastic energy through the seismoelectric coupling in a wide range of the seismic frequency band.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Biot, M. A. (1956), Theory of propagation of elastic waves in a fluid-saturated porous solid, J. Acoust. Soc. Am. 28, 168–191.
Biot, M. A. (1962a), Mechanics of deformation and acoustic propagation in porous media, J. Appl. Phys., 33, 1482–1498.
Biot, M. A. (1962b), Generalized theory of acoustic propagation in porous dissipative media. J. Acoust Soc. Am. 34, 1254–1264.
Blau, L. and Statham, L. (1936), Method and apparatus for seismic electric prospecting, Technical Report 2054067, U. S. Patent.
Brady, B. T. and Rowell, G. A. (1986), Laboratory investigation of the electrodynamics of rock fracture, Nature 321, 488–492.
Haartsen, M. W. Coupled electromagnetic and acoustic wavefield modeling in poroelastic media and its applications in geophysics exploration (Ph.D. Thesis, MIT, 1995).
Haartsen, M. W. and Pride, S. (1997), Electroseismic waves from point sources in layered media, J. Geophys. Res., 102, 24745–24769.
Han, Y. and Wang, Z. (2001), Time domain simulation of SH-wave-induced electromagnetic field in heterogeneous porous media: A fast finite-element algorithm, Geophysics 66, 448–461.
Liu, L. and Arcone, A. S. (2003), Numerical simulation of the wave-guideeffect of the near-surface thin layer on radar wave propagation, J. Environ. Eng. Geophys. 8, 133–141.
Liu, Q. (1997), The PSTD algorithm: a time domain method requiring only two cells per wavelength, Microwave Opt. Tech. Lett., 15, 158–165.
Mikhailenko, B. G., and Soboleva, O.N. (1997), Mathematical modeling of seismo-magnetic effects arising in the seismic wave motion in the earth’s constant magnetic field, Appl. Math. Lett., 10, 47–51.
Neev, J. and Yeatts, F. R. (1989), Electrokinetic effects in fluid-saturated poroelastic media, Phys. Rev. B40, 9135–9141.
Pride, S. (1994), Governing equations for the coupled electromagnetic and acoustics of porous media, Phys. Rev. B 50, 15678–15696.
Pride, S. R. and Haartsen, M. W. (1996), Electroseismic wave properties, J. Acoust. Soc. am. 100, 1301–1315.
Thompson, A. H. and Gist, G. A. (1991), Electroseismic prospecting, Soc. Expl Geophys. 61th Ann. Internat. Mtg, Expanded Abstracts 425–427.
Thompson, A. and Gist, G. (1993), Geophysical applications of electrokinetic conversion, The Leading Edge 12, 1169–1173.
Thompson, R. (1936). The seismic-electric effect, Geophysics, 1, 327–335.
Uyeda, S., Nagao, T. and Meguro, K., Report of the RIKEN International Frontier Research Project on Earthquakes (IFREQ) and the future of the short-term earthquake prediction research, 3rd Internat. Conference on Continental Earthquakes, Abstract, July, 2004.
Varotsos, P., Uyeda, S., Alexopoulos, K., Nagao, T., and Lazaridou, M. (1994), Prediction of recent destructive seismic activities in Greece based on seismic electric signals, In Electromagnetic Phenomena Related to Earthquake Prediction (eds. Hayakawa M. and Fujinawa Y.) (Terra Scientific Publishing Company, Tokyo 1994) pp. 13–24.
Yamada, I., Masuda, K., and Mizutani, H. (1989), Electromagnetic and acoustic emission associated with rock fracture. Phys. Earth Planet. Int. 57, 157–168.
Yan, H., Liu, H., and Li, Y. (1998), Seismic survey in electric field: A new seismo-electric prospecting method. Soc. Expl. Geophys. 68th Ann. Internat. Mtg., Expanded Abstracts, pp. 160–163.
Zhang, J. and Xiao, T. (2003), A multilevel block incomplete Cholesky preconditioner for solving normal equations in linear least-squares problems. J. Appl. Math. Computing 11, 59–80.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Birkhäauser Verlag
About this paper
Cite this paper
Liu, L., Xiao, L., Liu, H., Yan, H. (2006). Numerical Simulation of the Effect of a DC Electric Field on Seismic Wave Propagation with the Pseudospectral Time Domain Method. In: Yin, Xc., Mora, P., Donnellan, A., Matsu’ura, M. (eds) Computational Earthquake Physics: Simulations, Analysis and Infrastructure, Part I. Pageoph Topical Volumes. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7992-6_11
Download citation
DOI: https://doi.org/10.1007/978-3-7643-7992-6_11
Received:
Revised:
Accepted:
Published:
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-7991-9
Online ISBN: 978-3-7643-7992-6
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)