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temperature and deviatoric stresses

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5 - Permeability of Rocks
Nikolai Bagdassarov, Goethe-Universität Frankfurt Am Main
Book:

Fundamentals of Rock Physics

Published online:

19 November 2021

Print publication:

09 December 2021, pp 178-210
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Summary

Darcy’s law connects the gradient of pressure and flow velocity in rocks via their permeability κ. Depending on flow velocity, pressure and matrix properties, there are law corrections after Forchheimer, Brinkman and Klinkenberg. Rock permeability depends on ambient pressure, temperature and deviatoric stresses. In sedimentary rocks the permeability is affected by quartz content, gravel fractions and grain sorting. There are two different permeability models for rocks: the capillary model of pores and the fracture model. For granular rocks the Kozeny–Carman equation is applicable, in which hydraulic radius and degree of tortuosity are involved. The effect of pore pressure can be described using the effective pressure transfer coefficient. Permeability and relative pore saturation are connected via the van Genuchten equation. Focus Box 5.1: Darcy flow in ducts of various geometry.