  A mathematical model for computation of the fluid pressure in a reservoir
drained by a horizontal multiple fractured well is proposed. The model is
applicable for an arbitrary network of fractures with different finite
conductivities of each segment, for variable in space and time physical
parameters of the reservoir and for different field development plans. The
variational formulation of the model allows effective numerical simulation
using the finite element method. Case studies demonstrate how the main flow
characteristics (well productivity, pressure distribution) depend on the
geometrical and physical characteristics of the reservoir and of the fracture
network. The presented model is suitable for estimation of the productivity of
a multiple fractured well and as an optimization tool for efficient reservoir
development.
