Abstract
This paper presents an analytical multi-linear flow model for shale gas reservoirs with multistage fractured horizontal wells (MFHW). It has been proved that the hydraulic fractures are branched rather than simple bi-wing shape, and the seepage flow of shale gas reservoirs is more complicated than conventional gas reservoirs due to the gas occurrence characteristics and fracture networks. Based on the published trilinear flow models, a developed five-region model considering effective fractured volume and adsorption effect was established. Laplace transformation method and Stehfest numerical algorithm were used to obtain typical pressure response curves. In addition, the presented model was validated by the actual production data, different flow regimes were divided, and the prediction of presented model was compared with the results of Eclipse simulator. Effects of some factors such as stimulated reservoir volume, storativity ratio, and Langmuir volume on the performance were analyzed. The results showed that the presented model considering stimulated volume and adsorbed gas could predict the productivity of MFHW better. The linear flow of stimulated region was the main contribution to gas production, and the duration of formation linear flow was influenced by different parameters. So the selection of optimal combination is very important in the development of shale gas reservoirs.
Highlights
The rapid economic growth results in the increased demand of energy and development of shale gas reservoirs
This paper presents an analytical multi-linear flow model for shale gas reservoirs with multistage fractured horizontal wells (MFHW)
It has been proved that the hydraulic fractures are branched rather than simple bi-wing shape, and the seepage flow of shale gas reservoirs is more complicated than conventional gas reservoirs due to the gas occurrence characteristics and fracture networks
Summary
The rapid economic growth results in the increased demand of energy and development of shale gas reservoirs. Equivalent flow model (Ketineni S and Ertekin 2012) was used to describe the SRV and solved the elliptical flow problem by Mathieu modified functions Based on this model, Su et al (2015) characterized the SRV using a circular region in shale gas reservoir and analyzed the pressure performance considering the SRV. Ozkan et al (2010) and Brown et al (2009) developed a trilinear flow model to simplify the complex process and get good results in unconventional gas reservoirs, desorption and adsorption mechanism, which is the key mechanism of shale gas reservoirs, was ignored. Considering the adsorption and desorption process in these regions (Ross and Bustin 2007), mass conservation equations of the matrix flow can be written as
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