Abstract

The current research of nonlinear seepage theory of shale-gas reservoir is still in its infancy. According to the characteristics of shale gas in adsorption-desorption, diffusion, slippage and seepage during accumulation, migration and production, a mathematical model of unstable seepage in dual-porosity sealed shale-gas reservoir was developed while considering Knudsen diffusion, slip-flow effect and Langmuir desorption effect. By solving the model utilizing the Stehfest numerical inversion and computer programming in Laplace space, several typical curves of bottomhole pressure were obtained. In this paper, we discussed the effects of several parameters on the pressure dynamics, i.e. storativity ratio, Langmuir volume, Langmuir pressure, adsorption-desorption, tangential momentum accommodation coefficient, flow coefficient, boundary. The results show that the desorbed gas extends the time for fluid to flow from matrix system to fracture system; the changes of Langmuir volume and Langmuir pressure associated with desorption and adsorption effect are the internal causes of the storativity ratio change; when the tangential momentum accommodation coefficient decreases, the time for pressure wave to spread to the border reduces; interporosity flow coefficient determines the occurrence time of the transition stage; boundary range restricts the time for pressure wave to spread to the border.

Highlights

  • With the successful development of shale gas in North America and the sharp increase in demand of natural gas in China, Chinese government and petroleum companies are attaching more and more attention on shale gas development

  • The results show that the desorbed gas extends the time for fluid to flow from matrix system to fracture system; the changes of Langmuir volume and Langmuir pressure associated with desorption and adsorption effect are the internal causes of the storativity ratio change; when the tangential momentum accommodation coefficient decreases, the time for pressure wave to spread to the border reduces; interporosity flow coefficient determines the occurrence time of the transition stage; boundary range restricts the time for pressure wave to spread to the border

  • With the tangential momentum accommodation coefficient decreasing, the concavity in the typical curve deviates to right and becomes shallower, and the time for pressure wave to spread to the border reduces

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Summary

Introduction

With the successful development of shale gas in North America and the sharp increase in demand of natural gas in China, Chinese government and petroleum companies are attaching more and more attention on shale gas development. In their study shale gas adsorption and desorption were considered [2]. Some scholars established a new gas well productivity formula. In their study, they considered the effect of artifici al fracturing effect and gas slippage effect. To fully understand the mechanism of seepage in shale-gas reservoir, observation of nano-pores is dispensable. Javadpour (2009) used nanoscope to observe nano-pores in the shale-gas reservoir. He calculated the apparent Darcy permeability, while considering Knudsen diffusion. Shabr et al (2011) introduced a new surface mass balance law to model transient desorption In his research, he studied nanoscale seepage mechanism in pores, while considering Knudsen diffusion and Langmuir desorption. WANG i.e. storativity ratio, Langmuir volume, Langmuir pressure, adsorption-desorption, tangential momentum accommodation coefficient, flow coefficient, boundary

Assumptions
Mathematical Model
Ct V Ct f f m f Ctf
Solutions
Typical Curves and Analysis
Conclusions

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