Poroelasticity: Efficient modeling of strongly coupled, slow deformation processes in a multilayered half‐space

Geophysics - Tập 68 Số 2 - Trang 705-717 - 2003
Rongjiang Wang1, Hans‐Joachim Kümpel2
1GeoForschungsZentrum Potsdam (GFZ), Telegrafenberg, D‐14473 Potsdam, Germany.
2Leibniz Institute for Applied Geosciences (GGA), Stilleweg 2, D‐30655 Hannover, Germany.

Tóm tắt

We present a fast, powerful numerical scheme to compute poroelastic solutions for excess pore pressure and displacements in a multilayered half‐space. The solutions are based on the mirror‐image technique and use an extension of Haskell's propagator method. They can be applied to assess in‐situ formation parameters from the surface deformation field when fluids are injected into or extracted from a subsurface reservoir, or they can be used to simulate changes in pore‐fluid pressure resulting from matrix displacements induced by an earthquake. The performance of the numerical scheme is tested through comparison with observations of the surface deformation as recorded by tiltmeters in the vicinity of an iteratively pumped well. Modeling of near‐surface tilt data around a productive well is useful in constraining hydraulic diffusivity in the layered subsurface.

Từ khóa


Tài liệu tham khảo

10.1029/RG024i003p00579

Aki K., 1980, Quantitative seismology—Theory and methods

10.1063/1.337244

10.1063/1.1712886

10.1063/1.1712886

10.1002/nag.1610100204

10.1016/0020-7683(77)90128-7

Bourbié T., 1987, Acoustics of porous media

Carslaw H. S., 1959, Conduction of heat in solids

10.1111/j.1365-246X.1984.tb01944.x

10.1016/0020-7683(77)90065-8

Deresiewicz H., 1967, Bull. Seis. Soc. Am., 57, 381, 10.1785/BSSA0570030381

Dunkin J. W., 1965, Bull. Seis. Soc. Am., 55, 335, 10.1785/BSSA0550020335

10.1029/RG010i003p00761

Garbesi, K., 1993, Toward resolving model‐measurement discrepancies of radon entry into houses Ph.D. thesis, Univ. of California, Berkeley.

10.2118/3730-PA

10.1007/BF00879949

10.1016/0148-9062(86)90967-8

Haskell A., 1953, Bul. Seis. Soc. Am., 43, 17, 10.1785/BSSA0430010017

10.1111/j.1365-246X.1974.tb05451.x

Kennett B. L. N., 1983, Seismic wave propagation in stratified media

10.1016/S0022-1694(97)00067-X

Knopoff L., 1964, Bull. Seis. Soc. Am., 54, 431, 10.1785/BSSA0540010431

Kümpel, H.‐J., 1982, Neigungsmessungen zwischen Hydrologie und Ozeanographie: Ph.D. thesis, Univ. of Kiel, Germany.

1989, Verformungen in der Umgebung von Brunnen: Habil. thesis, Univ. of Kiel, Germany.

1991, Poroelasticity—Parameters reviewed: Geophys. J. Internat.105, 783–799.

1997, In situ deformation measurements for evaluation of hydraulic rock parameters,inWang, S., and Marinos, P., Eds., Engineering Geology: Proc. 30th Internat. Geol. Congr., B. 23, 481—487.

Kümpel H.‐J., 1996, Acta Geod. Geoph. Hung., 31, 67

Lehmann, K., 2001, Porendruckinduzierte Neigungssignale in geringen Tiefen und ihre Modellierung im homogenen Halbraum: Ph.D. thesis, Univ. Bonn, Germany.

Lewis R. W., 1987, The finite element method in the deformation and consolidation of porous media

10.4294/jpe1952.42.331

Okada Y., 1992, Bull. Seis. Soc. Am., 82, 1018, 10.1785/BSSA0820021018

10.1029/RG014i002p00227

10.1016/S0065-2687(08)60270-8

10.1016/S0065-2687(08)60270-8

10.1016/0167-6636(86)90042-6

10.1029/JB090iB08p06801

10.1063/1.1699629

10.1190/1.1444704

Verruijt, A., 1969, Elastic storage of aquifers,inde Wiest, R. J. M., Ed., Flow through porous media: Academic Press Inc., 331–376.

10.1007/BF00998332

10.1007/BF00998332

Wang R., 1999, Bull. Seis. Soc. Am., 89, 733, 10.1785/BSSA0890030733

Weise, A., 1992, Neigungsmessungen in der Geodynamik—Ergebnisse von der 3‐Komponenten‐Station Metsähovi: Ph.D. thesis, Tech. Univ. Clausthal, Germany.

Wolfram S., 1988, Mathematica, a system for doing mathematics by computer

Zimmerman R. W., 1991, Compressibility of sandstones

Thông tin
Thông tin xuất bản

Geophysics

Tập 68 Số 2

705-717

Thông tin tác giả