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OGS
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Hydraulic aperture equals the mechanical aperture s.t. multiplication of the permeability by the mechanical aperture yields the cubic law. The volumetric flux of incompressible fluid flow in a laminar regime within a fracture consisting of two parallel and smooth surfaces is given by the cubic law:
Q = W/(u L) b^3/12 \Delta p,
where, Q is the volumetric flux normal to the flow direction, W is the fracture width, u is the fluid viscosity, L is the fracture length, p is the fluid pressure, and b is the fracture hydraulic aperture.
In the context of Darcy’s law, the fracture permeability becomes:
k_f = b^2/12,
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Ref: He, Xupeng, et al. "A corrected cubic law for single-phase laminar flow through rough-walled fractures." Advances in Water resources 154 (2021): 103984.
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1.12.0