HR: 0830h
AN: S11F-0356 [PDF]
TI: Fractal Model of Elastic and Electrical Properties of Porous Rock
AU: * Pervukhina, M
EM: marina-pervuhkina@aist.go.jp
AF: National Institute of Advanced Industrial Science and Technology (AIST), Geological Survey of Japan
(GSJ), Central 7, 1-1-1 Higashi, Tsukuba, 305-8567
Japan
AU: Kuwahara, Y
EM: y-kuwahara@aist.go.jp
AF: National Institute of Advanced Industrial Science and Technology (AIST), Geological Survey of Japan
(GSJ), Central 7, 1-1-1 Higashi, Tsukuba, 305-8567
Japan
AU: Ito, H
EM: hisao.itou@aist.go.jp
AF: National Institute of Advanced Industrial Science and Technology (AIST), Geological Survey of Japan
(GSJ), Central 7, 1-1-1 Higashi, Tsukuba, 305-8567
Japan
AB:
A theoretical model of elastic and electrical properties of porous rock was developed for quantitative joint analysis of
collocated seismic velocity tomography and magnetotelluric (MT) experiments. A fractal model applied to elastic properties of
rock by Spangengerg (1998) was extended to describe electrical properties of porous rock with the same microstructure for a
percolation case. An inverted geometrical model of pore spaces and matrix was also developed to consider isolated pores and a
system staying near percolation. The simulation results of electrical properties were compared with the empirical Archie_fs
law and former theoretical models of electrical properties of porous rock for special cases of ellipsoidal isolated pores and
for interconnected pore geometries, such as a system of tubes along cubic grain edges or films surrounding cubic grains.
This comparison shows that the present model is consistent with the former models for special cases. The main advantage of
the present model against other theoretical models is possibility to describe both elastic and electrical properties of rock
with a single model for a wide range of microstructures including 3D grains and pore anisotropy and various degrees of pore
interconnection. It provides us a simple way to obtain the dependency of a resistivity against a seismic velocity for an
arbitrary microstructure. Obtained theoretical dependencies of seismic velocity vs. resistivity allow us to estimate a liquid
fraction in a structure from explored seicmic velocity and resistivity distribution. Based on the developed model, an
attempt have been successfully made to elaborate a quantitative method for solving the problem whether the variation of
resistivity and seismic velocities in a region can be attributed to presence of liquid only or whether other causes should be
considered. The developed model can be used for parameterization of a joint MT and seismic inverse problem in a variety of
geological settings.
DE: 0925 Magnetic and electrical methods
DE: 3210 Modeling
DE: 5112 Microstructure
DE: 7203 Body wave propagation
DE: 8010 Fractures and faults
SC: Seismology [S]
MN: 2003 Fall Meeting