Douglas Jr. J, Peszy nska M and Showalter R E, Single phase flow in partially fissured media, Trans. Porous Media 28 (1995) 285--306 Home/Search Document Details and Download
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A Differential Model of Adsorption Hysteresis with Applications.. - Peszynska (1997) (Correct)
.... see e.g. development of models in [30, 14, 18] or explicit models from engineering literature in [25, 12] The model we propose here is already a limiting model in the sense of the homogenization and is similar in nature to the one given in [12] see the development of double porosity models in [7] and classical references therein. We assume that at each point x there is a (microscopic) particle Omega x whose surface Gamma x provides the site for the exchange between u(x; t) and v(x; y; t) governed by a dynamic boundary condition. The changes in the input u(x; t) applied on the boundary ....
J. Douglas, Jr., M. Peszy'nska, R. E. Showalter, Single phase flow in partially fissured media, TPM, to appear
Unknown - Self-citation (Showalter) (Correct)
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J. Douglas, Jr., M. Peszynska, and R.E. Showalter, Single phase flow in partially fissured media, Transport in Porous Media 28 (1997), pp. 285--306.
Diffusion in Deforming Porous Media - Showalter Self-citation (Showalter) (Correct)
....it provides a method for directly computing the e#ective coe#cients which represent averaged material properties. Homogenization techniques have been used to identify and develop more realistic models of multi porous or multi permeable composite media in the rigid case, and one can consult [2] [24], 29] for representative results. Homogenization methods were also used by Auriault Sanchez Palencia [3] and by Burridge Keller [13] to derive the Biot system. One starts on the microscale with the Navier elasticity system for the solid deformation coupled to a Stokes flow system for the fluid ....
J. Douglas, Jr., M. Peszynska, and R. E. Showalter, "Single Phase Flow in Partially Fissured Media", Transport in Porous Media 28: 285-306, 1997.
Unknown - Self-citation (Showalter) (Correct)
....takes place. Such problems arise naturally as limits by homogenization theory, and they are known to be well suited for describing processes with multiple scales. For additional discussion of the application of distributed microstructure models in di#usion processes, see [10] 1] 2] 9] and [7]. 4. Kinetic Models The e#ective thermal conductivity of water kw was needed in the exact micro model in Section 2 to account for the transverse motion of heat flow between the water and interior pipe wall. This led in Section 3 to the fully coupled distributed microstructure model (11) in ....
J. Douglas, Jr., M. Peszynska, and R.E. Showalter, Single phase flow in partially fissured media, Transport in Porous Media 28 (1997), pp. 285--306.
Two-Scale Convergence Of A Model For Flow In A Partially.. - Clark, Showalter (1999) (1 citation) Self-citation (Showalter) (Correct)
....ejde.math.unt.edu (login: ftp) TWO SCALE CONVERGENCE OF A MODEL FOR FLOW IN A PARTIALLY FISSURED MEDIUM G. W. CLARK R.E. SHOWALTER Abstract. The distributed microstructure model for the flow of single phase fluid in a partially fissured composite medium due to Douglas PeszynskaShowalter [12] is extended to a quasi linear version. This model contains the geometry of the local cells distributed throughout the medium, the flux exchange across their intricate interface with the imbedded fissure system, and the secondary flux resulting from di#usion paths within the matrix. Both the exact ....
.... of a continuous distribution of blocks over the region as in [23] or by assuming some periodic structure for the domain that permits the use of homogenization methods [8, 9] See [15] or [16] for a review, and for more information on homogenization see [7, 21] This model was extended in [12] to the partially fissured case. The novelty in this construction was to represent the flow in the matrix by a parallel construction in the style of [6, 24] Thus, two flows are introduced in the exact micro model for the matrix, one is the slow scale flow of [5] which leads to local storage, and ....
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J. Douglas, Jr., M. Peszynska and R. E. Showalter, Single phase flow in partially fissured media, Transport in Porous Media 28 (1997), 285--306.
Micro-Structure Models Of Porous Media - Showalter (1995) Self-citation (Showalter) (Correct)
....pressure and flux are localized . This problem is a hybrid between parallel and microstructure models: the introduction of two matrix components is a parallel construction which was built into the model, and it persisted in the limit. This is one of a family of such models which were derived in [21] by homogenization (see below) from corresponding models. MICRO STRUCTURE MODELS OF POROUS MEDIA 11 4. A Variational Formulation We illustrate with the case of a totally fissured medium the mathematical formulation of microstructure models as evolution equations on various Hilbert spaces. ....
J. Douglas, Jr., M. Peszynska, R.E. Showalter, Single phase flow in partially fissured media, to appear.
Homogenization of a parabolic equation in perforated.. - Nandakumaran, Rajesh (2002) (Correct)
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Douglas Jr. J, Peszy nska M and Showalter R E, Single phase flow in partially fissured media, Trans. Porous Media 28 (1995) 285--306
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