@Article{AAMM-10-4, author = {Yong, Wang and Mingjun, Li and Xin, Ma and Wubin, Gao and Xue, Guoqing and Zhou, Jun}, title = {Modeling the Nonlinear Oil-Water Two-Phase Flow Behavior for a Multiple-Fractured Horizontal Well in Triple Media Carbonate Reservoir}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {10}, number = {4}, pages = {998--1024}, abstract = {
Carbonate reservoir is one of the important reservoirs in the world. Because
of the characteristics of carbonate reservoirs, horizontal well and acid fracturing have
become a key technology for efficiently developing carbonate reservoir. Establishing
corresponding mathematical models and analyzing transient pressure behaviors of
this type of well-reservoir configuration can provide a better understanding of fluid
flow patterns in formation as well as estimations of important parameters.
A mathematical model for an oil-water two-phase flow fractured horizontal well in
triple media carbonate reservoir by conceptualizing vugs as spherical shapes is presented
in this article. A semi-analytical solution is obtained in the Laplace domain
by using source function theory, Laplace transformation and superposition principle.
Analysis of transient pressure responses indicates that nine characteristic flow periods
of fractured horizontal wells in triple media carbonate reservoir can be identified.
Parametric analysis shows that water saturation of matrix, vug and fracture system
and fracture half-length, fracture number and fracture spacing can significantly influence
the transient pressure responses of fractured horizontal wells in triple media
carbonate reservoir. The model presented in this article can be applied to obtain important
parameters pertinent to reservoir or fracture by type curve matching and it can
also provide useful information for optimizing fracture parameters.