R. E. Showalter and N. J. Walkington, Micro-structure models of diusion in ssured media, Jour. Math. Anal. Appl. 155 (1991), 1-20.  Home/Search   Document Not in Database   Summary   Related Articles

....medium becomes disconnected. In the special case of disjoint porous blocks which are separated by the system of ssures, it is called a totally ssured medium and denoted hereafter by TFM . Single phase ow, as well as more complicated ows, in a TFM have been investigated by several authors; see [2,5,6,11,20,31]. The recent book [19] contains a survey of these and other results on distributed microstructure models. Below, we develop such a model of single phase ow in the general case of a PFM which in the limit (as the ratio of the volume of space occupied by the connecting portion of the matrix to the ....

....the size of the blocks. Consequently, the exact microscopic model, written as a classical interface problem, is numerically and analytically intractable. The common technique used to overcome this diculty is to construct models which describe the ow on two scales, macroscopic and microscopic (see [2,5,6,11,20,31]) At the macroscopic scale of the reservoir the whole domain of ow is seen as occupied by a pseudo porous medium with the impermeable solid part being replaced by the matrix of permeable blocks and the pores representing the ssures. In these models, the microscopic scale appears through the ....

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R. E. Showalter and N. J. Walkington, Micro-structure models of diusion in ssured media, Jour. Math. Anal. Appl. 155 (1991), 1-20.

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