Elastic waves along a cylindrical borehole in a poroelastic medium saturated by two immiscible fluids

被引：17

作者：

Arora, Ashish ^{[1
]}

Tomar, S. K. ^{[2
]}

机构：

[1] Guru Nanak Dev Univ, Dept Math, Amritsar 143006, Punjab, India

[2] Punjab Univ, Dept Math, Chandigarh 160014, India

来源：

JOURNAL OF EARTH SYSTEM SCIENCE | 2007年 / 116卷 / 03期

关键词：

borehole; wave propagation; frequency equation; phase velocity; group velocity; surface waves;

D O I：

10.1007/s12040-007-0022-6

中图分类号：

P [天文学、地球科学];

学科分类号：

07 ;

摘要：

The propagation of elastic waves along a cylindrical borehole filled with/without liquid and embedded in an infinite porous medium saturated by two immiscible fluids has been studied. The theory of porous media saturated by two immiscible fluids developed by Tuncay and Corapcioglu (1997) is employed. Frequency equations determining the phase velocity of axial symmetric waves are obtained. It is found that the surface waves along cylindrical borehole are dispersive. The dispersion equation of Rayleigh-type surface waves along the boundary of a poroelastic solid half-space saturated by two immiscible fluids is also obtained. Some special cases have been deduced and the dispersion curves are obtained numerically for a peculiar model. It is found that the density of fluids affects the Rayleigh mode.

引用

页码：225 / 234

页数：10

共 19 条

[1]

[Anonymous], 1959, GEOPHYS PROSPECT, DOI DOI 10.1111/J.1365-2478.1959.TB01469.X

[2]

[Anonymous], 1964, Handbook of mathematical functions

[3] Time-harmonic torsional waves in a composite cylinder with an imperfect interface [J].

Berger, JR ;

Martin, PA ;

McCaffery, SJ .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2000, 107 (03) :1161-1167

[4] PROPAGATION OF ELASTIC WAVES IN A CYLINDRICAL BORE CONTAINING A FLUID [J].

BIOT, MA .

JOURNAL OF APPLIED PHYSICS, 1952, 23 (09) :997-1005

[5] ELASTIC WAVE-PROPAGATION IN A FLUID-FILLED BOREHOLE AND SYNTHETIC ACOUSTIC LOGS [J].

CHENG, CH ;

TOKSOZ, MN .

GEOPHYSICS, 1981, 46 (07) :1042-1053

[6] EFFECTS OF INSITU PERMEABILITY ON THE PROPAGATION OF STONELEY (TUBE) WAVES IN A BOREHOLE [J].

CHENG, CH ;

ZHANG, JZ ;

BURNS, DR .

GEOPHYSICS, 1987, 52 (09) :1279-1289

[7]

Deresiewicz H., 1963, Bull Seismol Soc Am, V53, P783, DOI DOI 10.1785/BSSA0530040783

[8] ACOUSTIC MULTIPOLE SOURCES IN FLUID-FILLED BOREHOLES [J].

KURKJIAN, AL ;

CHANG, SK .

GEOPHYSICS, 1986, 51 (01) :148-163

[9] Wave propagation through elastic porous media containing two immiscible fluids [J].

Lo, WC ;

Sposito, G ;

Majer, E .

WATER RESOURCES RESEARCH, 2005, 41 (02) :1-20

[10] A NUMERICAL INVESTIGATION OF HEAD WAVES AND LEAKY MODES IN FLUID-FILLED BOREHOLES [J].

PAILLET, FL ;

CHENG, CH .

GEOPHYSICS, 1986, 51 (07) :1438-1449

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