Abstract:Constant producing pressure solutions that define declining production rates with time for a naturally fractured reservoir are presented. The solutions for the dimensionless flow rate are based on a model presented by Warren and Root. I The model was extended to include constant producing pressure in both infinite and finite systems. The results obtained for a finite no-flow outer boundary are new and surprising. It was found that the flow rate shows a rapid decline initially, becomes nearly constant for a per… Show more
“…Da Prat et al (1981) for a double porosity medium can be used. Figures 5.10 and 5.11 show the matches to the flow rate and the observed pressure at 13.1, respectively.…”
“…Da Prat et al (1981) for a double porosity medium can be used. Figures 5.10 and 5.11 show the matches to the flow rate and the observed pressure at 13.1, respectively.…”
“…Da Prat et al, 1981 proposed a decline curve analysis protocol using type curves for naturally fractured systems. The type curves were generated from partial differential equations of a single phase flow in a one-dimensional, radial, two-porosity system originally developed by Warren and Root (1963) and extended by Mavor and Cinco-Ley (1979) as shown below:…”
“…The dimensionless flow rate produced at constant bottomhole pressure in a bounded circular reservoir in Laplace space is given as follows (Da Prat et al 1981):…”
Section: Rate-time Forecast Of Naturally Fractured Gas Reservoirsmentioning
Significant amounts of oil and gas are trapped in naturally fractured reservoirs, a phenomenon which has attracted growing attention as production from unconventional reservoirs starts to outpace production from conventional sources. Traditionally, the dual-porosity model has been used in modeling naturally fractured reservoirs. In a dual-porosity model, fluid flows through the fracture system in the reservoir, while matrix blocks are segregated by the fractures and act as fluid sources for them. This model was originally developed for liquid flow in naturally fractured systems and it is therefore inadequate for capturing pressuredependent effects such as viscosity-compressibility changes in gas systems in its original form. This study presents a rigorous derivation of a gas interporosity flow equation that accounts for the effects of such pressure-sensitive properties. A numerical simulator using the gas interporosity flow equation is built and demonstrates a significant difference in system response from that of a simulator implementing a liquid-form interporosity flow equation. For this reason, rigorous modeling of interporosity flow is considered essential to decline curve analysis for naturally fractured gas reservoirs. In this study, we also show that the use of the proposed gas interporosity flow equation eliminates latetime decline discrepancies and enables rigorous decline curve analysis. The applicability of density-based approach in dual-porosity gas systems is investigated, and the approach reveals that gas production can be forecast in terms of a rescaled liquid solution that uses depletion-driven parameters, k and b. Application of this approach demonstrated that, at the second decline stage, gas production profile shifted from its liquid counterpart is identical to gas numerical responses with gas interporosity flow equation in effects. The production rates from the pseudo-function approach and those from simulations implementing the gas interporosity flow equation for the synthetic reservoirs are compared against each other, which demonstrated good matches during decline.
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