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Walsh & Brace 1984
Walsh, J.B. and Brace, W.F. (1984). The effect of pressure on porosity and the transport properties of rock. Journal of Geophysical Research 89: doi: 10.1029/JB080i011p09425. issn: 0148-0227.

We reanalyze the flow model proposed by Wyllie and Rose (1950) in which the complicated flow network through the pore phase of rock is replaced by a single representative conduit. Although the model is very simple representation of the complicated pore phase in rock, we find that it provides an adequate simulation of how the transport properties vary with external pressure. Expressions derived for fluid permeability k and formation factor E are combined to give an expression for the mean hydraulic radius of the pore phase. Using this expression, we show that the exponent r in the empirical relationship kF-1 must fall in the range 1≤r≤3. Also, we use in expression for hydraulic radius to estimate the crack area per unit volume and the standard derivation of the height of the asperities on the microcrack surfaces for two granites. The values are in reasonable agreement with other estimates.

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Abstract

Journal
Journal of Geophysical Research
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American Geophysical Union
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