Erscheint 12 Ausgaben pro Jahr
ISSN Druckformat: 1091-028X
ISSN Online: 1934-0508
Indexed in
NONLINEAR SEEPAGE MODEL FOR MULTIPLE FRACTURED HORIZONTAL WELLS WITH THE EFFECT OF THE QUADRATIC GRADIENT TERM
ABSTRAKT
The multiple fractured horizontal well (MFHW) has been extensively employed to develop oil and gas reservoirs, especially in the development of low permeability reservoirs. Many types of seepage models have been proposed to investigate the pressure responses of MFHWs in different reservoir scenarios. However, to our knowledge, all of the proposed models for MFHWs are inconsistent with the principle of the mass conservation because the quadratic gradient term in the nonlinear partial differential equation (PDE) is neglected for the sake of simplicity. This paper establishes a nonlinear seepage model for an MFHW in an infinitely large underground porous-media formation. All of the terms in the nonlinear PDE are retained. The transformed pressure and flow rate function are first introduced to obtain the linearized point source model, and then the Laplace transform, principle of superposition, numerical discrete method, and Stehfest numerical inversion are taken to solve the nonlinear seepage model for MFHWs. Type curves of the transient pressure for an MFHW are plotted and the main flow regimes are observed. The effects of the nonlinearity on the transient pressure and flow-rate density distribution in fractures are qualitatively and quantitatively analyzed. The nonlinear model presented is consistent with material balance, and thus it can be used to obtain more accurate transient pressure in MFHWs.
-
Ren Junjie, Guo Ping, Peng Song, Ma Zhongliang, Performance of multi-stage fractured horizontal wells with stimulated reservoir volume in tight gas reservoirs considering anomalous diffusion, Environmental Earth Sciences, 77, 22, 2018. Crossref
-
Ren Junjie, Zheng Qiao, Zhao Chunlan, A Modified Blasingame Production Analysis Method for Vertical Wells Considering the Quadratic Gradient Term, Energies, 12, 11, 2019. Crossref
-
Ren Junjie, Zheng Qiao, Guo Ping, Zhao Chunlan, Lattice Boltzmann Model for Gas Flow through Tight Porous Media with Multiple Mechanisms, Entropy, 21, 2, 2019. Crossref
-
Guo Ping, Sun Zhen, Peng Chao, Chen Hongfei, Ren Junjie, Transient-Flow Modeling of Vertical Fractured Wells with Multiple Hydraulic Fractures in Stress-Sensitive Gas Reservoirs, Applied Sciences, 9, 7, 2019. Crossref
-
Ren Jun-jie, Gao Yang-yang, Zheng Qiao, Guo Ping, Wang De-long, Pressure transient analysis of a finite-conductivity multiple fractured horizontal well in linear composite gas reservoirs, Journal of Central South University, 27, 3, 2020. Crossref
-
Ren Junjie, Gao Yangyang, Zheng Qiao, Wang Delong, Pressure Transient Analysis for a Finite-Conductivity Fractured Vertical Well Near a Leaky Fault in Anisotropic Linear Composite Reservoirs, Journal of Energy Resources Technology, 142, 7, 2020. Crossref
-
Ren Junjie, Wu Qingxing, Liu Xiaoxue, Zhang Haibo, Semi-analytical modeling for multi-wing fractured vertical wells in a bilaterally heterogeneous gas reservoir, Journal of Natural Gas Science and Engineering, 95, 2021. Crossref
-
Ren Junjie, Liu Xiaoxue, Wu Qingxing, Wu Shuai, Semi-analytical model of multiple fractured horizontal well across a discontinuity in a linear composite reservoir, Journal of Geophysics and Engineering, 18, 6, 2021. Crossref
-
Ren Junjie, Gao Yangyang, Fang Ningyuan, Wang Delong, Pressure behavior of multi-stage fractured horizontal well in a laterally non-uniform reservoir, Journal of Petroleum Science and Engineering, 207, 2021. Crossref