... & gas accuracy equation geometry reservoir boundary reservoir expression peaceman reservoir simulation correction weber analytical solution difference equation composite solution numerical reservoir simulation PETROLEUM SOCIETY CANADIAN INSTITUTE OF MINING, METALLURGY & PETROLEUM PAPER...

... with time. In that case, σ has a different value than for the constant rate case. hydraulic fracturing drainage rate constant pressure fracture fracture pressure constant rate matrix block warren boundary condition analytical solution fractured reservoir upstream oil & gas simulator...

... difference between linear flow and radial flow - rate sensitivity. It has been shown and accepted for years that real gas pseudo-pressure can be used to apply analytical solutions to transient radial flow. However, it has been noticed that analytical solutions can be in serious error when applied...

... Abstract Although there have been many analytical studies on pressure-transient behavior of hydraulic fracture systems, no single analytical solution capable of describing both vertical and horizontal fracture transient state behaviors has been developed. The purpose of this work is to develop...

... that analytical solution for bilinear flow developed by Cinco-Ley and Samaniego 1 and Guppy et al 2 applies to all cases. We observed some cases exhibit linear flow following the bilinear flow in some cases. So far, we have simulated bilinear flow only in a single matrix block. It has not been determined yet...

... to the fracture) respectively for the coarse gridblocks that have hydraulic fractures passing through them. Equation (1) (Available in full paper) coarse gridblock analytical solution hydraulic fracture drillstem/well testing upstream oil & gas gridblock transmissibility multiplier hydraulic...

... pressure distribution in well test. Their analytical solution is applicable for infinite conductivity vertical fractures. And Cinco-Ley and Samaniego6 developed an analytical method to study the transient pressure behavior for a well with a finite conductivity vertical fracture fluid dynamics...

... to evaluate rock stability before a production strategy is chosen, and a thorough understanding of mechanisms and quantitative analysis of their potential effects should be pursued. oscillation fluctuation analytical solution rock stability pressure wave pressure fluctuation upstream oil...

... with various well known analytical solutions, including steady state and transient solutions for "standard" reservoirs, compatibility with the method of images and with well established results in the area of well test analysis. The results of modeling vertical, fractured and horizontal wells (oil, gas...

... Abstract Analytical solutions in the petroleum engineering literature have always been treated as benchmarks for many complicated situations in reservoirs. But efforts to develop analytical solutions for some transient-flow problems have been hindered seriously due to a lack of appropriate...