Physico-mathematical model for the process of seismic wave distribution in fractured coal-rock mass

UDC: 550.834:622.12
EDN: VVEDOB
Received: 30.03.2010
Published: 13.04.2010

Original language: ru

Antsiferov V. A.

Abstract
The article gives assessment of the appropriateness of using Fraenkel-Biot and Gassmann models, which are elastically deformable matrices filled up with viscous fluid or gas, when making analysis of seismic field characteristics in fractured coal-rock mass.

REFERENCES

Био М. А. Механика деформирования и распространения аку-стических волн в пористой среде // Механика. Пероид. сб. пе-реводов иностр. статей. – 1963. – 6, N 82. – С. 103 – 134.
Biot M. A. General theory of three-dimensional consolidation // J. Appl. Phys. – 1941. – 12. – P. 155 – 164.
Френкель Я. И. К теории сейсмических и сей-смоэлектрических явлений во влажной почве // Изв. АН СССР. Сер. географ. и геофиз. – 1944. – 8, N 4. – С. 133 – 149.
Biot M. A. Theory of propagation of elastic waves in fluid-saturated porous solid. Part I. Low frequency range // J. Acoust. Soc. Amer. – 1956. – 28, N 2. – P. 168 – 178.
Biot M. A. Theory of propagation of elastic waves in fluid-saturated porous solid. Part II. Higher frequency range // J. Acoust. Soc. Amer. – 1956. – 28, N 2. – P. 179 – 191.
Био М. А. Теория упругости и консолидации анизотропной пористой среды // Механика. Пероид. сб. переводов иностр. статей. – 1957. – 1, N 35. – С. 140 – 147.
Tolstoy I. Acoustics, elasticity, and thermodynamics of porous media: Twenty-one papers by M. A. Biot. – New York: AIP Press, 1992. – 272 p.
Chotiros N. P., Lyons A. P., Pace N. G. Normal incidence reflection loss from sandy semident // J. Acoust. Soc. Amer. – 2002. – 112, N 5, Pt 1. – P. 1831 – 1840.
Pride S. R., Garambois S. The role of Biot slow waves in electro-seismic wave phenomena // J. Acoust. Soc. Amer. – 1985. – 111, N 2. – P. 697 – 706.
Silin D. B., Korneev V. A., Goloshubin G. M., Patzek T. W. Low frequancy asymptotic analysis of seismic reflection from a fluid-saturated medium // Transp. Por. Media. – 2006. – 62. – P. 283 – 305.
While J. E. Computed seismic speed and attenuation in rocks with partial gas saturation // Geophys. – 1975. – 40. – P. 224 – 232.
Gassman F. Elastic waves through a packing of spheres / Geo-physics, 16 1951, P.673 – 685.
Gassman F. Elastic waves through a packing of spheres / Geo-physics, 18 1951, P.269.