We find that the reservoir impedance solutions from Sec. 2.1 can be expressed more concisely. The solutions can be calculated generally as a function of the location of the well/porous media interface (i.e., 𝑥 0 or 𝑟 0 ) and the cross-sectional area (𝐴 𝑐 ) and then expressed in terms of constants 𝐶 1 and 𝐶 2 :