Fj. Kuchuk et T. Habashy, PRESSURE BEHAVIOR OF HORIZONTAL WELLS IN MULTILAYER RESERVOIRS WITH CROSS-FLOW, SPE formation evaluation, 11(1), 1996, pp. 55-64
New analytic solutions for horizontal wells with wellbore storage and
skin in layered reservoirs with crossflow are presented. These layered
systems can be bounded by two horizontal impermeable boundary planes
at the top and the bottom, or either one of the boundary planes can ha
ve a constant pressure (the system either has a gas cap or an active a
quifer), while the other is maintained as a no-flow boundary. The new
solutions are derived by utilizing the reflection and transmission con
cept of electromagnetics to solve fluid flow problems in three dimensi
onal layered reservoirs, where nonhomogeneity is in only one direction
. The solution technique is sufficiently general that it may be applie
d to a wide variety of fluid flow and well testing problems involving
single-phase flow. The solutions are applied to a number of layered-re
servoir examples. It is shown that a gas cap or aquifer should automat
ically not be treated as a constant-pressure boundary. It is also show
n that estimation of layer parameters from conventional well tests is
difficult. A field example is presented for the use of the new solutio
ns for the interpretation of a buildup test from a horizontal well in
a multilayer reservoir, where the layers are separated sporadically by
low permeability zones. The Horner method is also used to interpret t
he field test; however, Horner does not work well for layered systems
with horizontal wells.