Effective Poroelastic Properties of Transversely Isotropic Porous Medium with Aligned Spheroidal Inhomogeneities
Source abstract
Abstract
A two-component poroelastic composite material is considered. This material consists of a homogeneous transversely isotropic poroelastic matrix and aligned spheroidal inclusions filled with material having different poroelastic properties. The effective poroelastic characteristics are obtained by the effective field method. All the formulas are presented in explicit ready-to-use form.
Source: expertdata · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Composite Material Mechanics · Advanced Mathematical Modeling in Engineering · Rock Mechanics and Modeling
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (14)
Show source-provided references
1. Berryman J.G., Milton G.V (1991) Exact results for generalized Gasman’s equations in Composite poroelastic media with two constituents. Geophysics 56:1950-196010.1190/1.1443006 ↗
2. Berryman J.G (2006) Effective medium theories for multicomponent poroelastic composites. Journal of Engineering Mechanics 132:519-53110.1061/(ASCE)0733-9399(2006)132:5(519) ↗
3. Biot M.A. (1941)General theory of three-dimensional consolidation. Journal of Applied Physics 12:155-16410.1063/1.1712886 ↗
4. Biot M.A (1962) Mechanics of deformation and acoustic propagation in porous media. Journal of Applied Physics 33:1482-149810.1063/1.1728759 ↗
5. Kanaun S.K (1982) The effective field method in the linear problems in static of composite media. Applied Mathematics and Mechanics, (PMM) 46, 655-66510.1016/0021-8928(82)90040-5 ↗
6. Kanaun, S.K. Elastic medium with random field of inhomogeneities. In: Kunin, I.A. “Elastic Media with Microstructure”, Vol. 2 (Chapter 7), Springer, 1983, 165-228.10.1007/978-3-642-81960-5_7 ↗
7. Kazatchenko E., Markov M., Musatov A, Para J (2006) Carbonate microstructure determination by inversion of acoustic and electric data: Application to a south Florida aquifer. Journal of Applied Geophysics 59:1-1510.1016/j.jappgeo.2005.07.004 ↗
8. Levin V.M., Alvarez-Tostado J.M (2004) On the effective constants of inhomogeneous poroelastic medium. Science and Engineering of Composite Materials 11(N1):35-4610.1515/SECM.2004.11.1.35 ↗
9. Mao Bai, Elsworth D, Roegiers J-C (1993) Multiporosity/multipermeability approach to the simulation of naturally fractured reservoirs. Water Resources Research 29(N6):1621-163310.1029/92WR02746 ↗
10. Mao Bai , Roegiers J-C, Elsworth D. (1995) Poromechanical response of fractured-porous rock masses. Journal of Petroleum Science and Engineering 13:155-16810.1016/0920-4105(95)00019-E ↗
11. Markov K.Z (2000) Elementary micromechanics of heterogeneous solids. In: Markov K.Z., Preziosi L. (eds). Heterogeneous Media: Micromechanics Modeling Methods and Simulation. Boston, Birkhauser, pp. 1-16210.1007/978-1-4612-1332-1_1 ↗
12. Mori T., Tanaka K (1973) Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica 21:571-57410.1016/0001-6160(73)90064-3 ↗
13. Norris A (1992) On the correspondence between poroelasticity and thermoelasticity. Journal of Applied Physics 71:1138-114110.1063/1.351278 ↗
14. Sevostianov I, Yimaz N., Kushch V., Levin V (2005) Effective elastic properties of matrix composites with transversely isotropic phases. International Journal of Solids and Structures 42:455-47610.1016/j.ijsolstr.2004.06.047 ↗