Mathematical modeling of seismomagnetic effects arising in the seismic wave motion in the Earth's constant magnetic field

Mikhailenko, B. G.; Соболева, О. Н.

doi:10.1016/s0893-9659(97)00033-5

Cited by 5 publications

(3 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Over the past decades, field experiments were conducted to characterize these seismo-electromagnetic phenomena (Thompson 1936;Martner & Sparks 1959;Broding et al 1963;Long & Rivers 1975). Successful field experiments performed in recent years (Butler & Russell 1993;Thompson & Gist 1993;Mikhailenko & Soboleva 1997;Russell et al 1997;Beamish 1999;Hunt & Worthington 2000;Garambois & Dietrich 2001;Kepic & Rosid 2004;Thompson et al 2005;Dupuis & Butler 2006;Dupuis et al 2007;Haines et al 2007a,b;Strahser et al 2007) have stimulated new interest in this particular mechanism. As described by Pride (1994), analytical interpretation of these phenomena needs to connect the theory of Biot (1956) for the seismic wave propagation in a two phases medium with the Maxwell's equations, using dynamic electrokinetic couplings.…”

mentioning

confidence: 99%

Evidence of the theoretically predicted seismo-magnetic conversion

Bordes

Jouniaux²,

Garambois

et al. 2008

Geophysical Journal International

View full text Add to dashboard Cite

We acknowledge the Geophysical Journal International and the Association/Society and Blackwell Publishing. The definitive version is available at www.wileyinterscience.com. The reference is : Bordes, C., L. Jouniaux, S. Garambois, M. Dietrich, J.-P. Pozzi, and S. Gaffet, Evidence of the theoretically predicted seismo-magnetic conversion, G.J.I., 174, issue 2, 489-504, doi:10.1111/j.1365-246X.2008.03828.xInternational audienceSeismo-electromagnetic phenomena in porous media arise from seismic wave-induced fluid motion in the pore space, which perturbs the equilibrium of the electric double layer. This paper describes with details the original experimental apparatus built within the ultra-shielded chamber of the Low Noise Underground Laboratory of Rustrel (France). We measured seismo-magnetic conversions in moist sand using two induction magnetometers, and a pneumatic seismic source to generate the seismic wave propagation. We ensured to avoid the magnetometer vibrations, which could induce strong disturbances from induction origin. Interpretation of the data is improved by an analytical description of phase velocities for fast (P_f) and slow (P_s) longitudinal modes, transverse mode (S) as well as the extensional mode due to the cylindrical geometry of the sample. The purpose of this paper is to provide elements to measure correctly co seismic seismomagnetic fields and to specify their amplitude. The seismic arrivals recorded in the sample showing a 1200$-1300 m/s velocity have been associated to P and extensional waves. The measured seismo-magnetic arrivals show a velocity of about 800 m/s consistent with the calculated phase velocity of S waves. Therefore we show that the seismo-magnetic field is associated to the transverse part of the propagation, as theoretically predicted by Pride (1994), but never measured up to now. Moreover, the combined experimental and analytical approaches lead us to the conclusion that the measured seismo-magnetic field is probably about 0.35 nT for a 1 m/s2 seismic source acceleration (0.1 g)

show abstract

mentioning

confidence: 99%

Evidence of the theoretically predicted seismo-magnetic conversion

Bordes

Jouniaux²,

Garambois

et al. 2008

Geophysical Journal International

View full text Add to dashboard Cite

show abstract

“…In order to compute the electromagnetic fields in an arbitrary medium, one must numerically solve Maxwell's equations. The large scale variations of coefficients as compared with wavelength are taken into account in these models with the help of some boundary conditions (see, for example, [1][2][3]). The numerical solution of the problem with variations of parameters on all the scales require high computational costs.…”

Section: Introductionmentioning

confidence: 99%

The Subgrid Modeling for Maxwell's Equations With Multiscale Isotropic Random Conductivity and Permittivity

Курочкина¹,

Соболева²

2013

PIER B

View full text Add to dashboard Cite

Abstract-The effective coefficients for Maxwell's equations in the frequency domain are calculated for a multiscale isotropic medium by using a subgrid modeling approach. The correlated fields of conductivity and permeability are approximated by Kolmogorov's multiplicative continuous cascades with a lognormal probability distribution. The wavelength is assumed to be large as compared with the scale of heterogeneities of the medium. The permittivity ε(x) and the electric conductivity σ(x) satisfy the condition σ(x)/(ωε(x)) < 1, where ω is the cyclic frequency. The theoretical results obtained in the paper are compared with the results from direct 3D numerical simulation.

show abstract

“…has been facilitating our understanding of the seismoelectromagnetic coupling through multi-scale and multi-physics numerical modeling. MIKHAILENKO and SOBOLEVA (1997) modeled the seismomagnetic effects arising in the seismic wave motion in a constant geomagnetic field by the finite Fourier transform. HAN and WANG (2001) modeled the coupling of the elastic SH wave and the TE mode electric field by a fast finite-element time-domain method.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of the Effect of a DC Electric Field on Seismic Wave Propagation with the Pseudospectral Time Domain Method

Liu

Xiao

Liu³

et al. 2006

Pure appl. geophys.

View full text Add to dashboard Cite

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 an 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.

show abstract

Mathematical modeling of seismomagnetic effects arising in the seismic wave motion in the Earth's constant magnetic field

Cited by 5 publications

References 4 publications

Evidence of the theoretically predicted seismo-magnetic conversion

Evidence of the theoretically predicted seismo-magnetic conversion

The Subgrid Modeling for Maxwell's Equations With Multiscale Isotropic Random Conductivity and Permittivity

Numerical Simulation of the Effect of a DC Electric Field on Seismic Wave Propagation with the Pseudospectral Time Domain Method

Contact Info

Product

Resources

About