Analytical Solution for a Double-periodic Multiwells Reservoir System

This work is devoted to the modeling of oil fields development with a multi-wells system located in a homogeneous closed reservoir of constant thickness and working under pseudo-steady state conditions. For these purposes, a closed reservoir is represented as an element of unbounded doubly-periodic array of multi-well clasters, and the inflow conditions in multi-well system are described by the Weierstrass elliptic functions. This approach allows us: • to find the pressure distribution and the field of fluid velocities for any wells location in the reservoir; • to calculate the productivity index (PI) and the Dietz’s shape factor (CA) for any wells loca-tion in the reservoir; • to establish the optimal wells location in the reservoir, maximizing the multiwell productivity index (MPI) of the reservoir.