On a Class of Integrals Useful to Solve Well‐Type Flows in Heterogeneous Porous Formations

Abstract

We provide analytical (closed form) expression for a class of integrals that frequently arise into modeling well-type flows through heterogeneous porous formations. In particular, these integrals are encountered when ensemble (second-order) moments of the flow variables are computed by means of a perturbation approach that regards the variance 2 Y of the random field Y ≡ ln K (being K the hydraulic conductivity) as a small parameter.