Using a one-dimensional form of Darcy's law, solve for permeability. Substitute dimensions in the other terms and cancel to verify that the...

You have a cylindrical core sample 1.5 inches diameter, and 3 inches long. Permeability = 250 mD, porosity = 0.2. Its pore space is fully saturated with brine, which has viscosity 1.2 cp and density 1.15 g/cc. (a) Determine the pressure drop necessary to flow brine through the sample at a rate of 2cc/min. (b) For these flow conditions, determine the superficial velocity, advance velocity, and interstitial velocity. (c) Estimate the Reynolds number inside the pore space. (d) Give a justification for the velocity and characteristic length that you chose or estimated for part (c).