Suscripción a Biblioteca: Guest
Portal Digitalde Biblioteca Digital eLibros Revistas Referencias y Libros de Ponencias Colecciones
Journal of Porous Media
Factor de Impacto: 1.752 Factor de Impacto de 5 años: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Imprimir: 1091-028X
ISSN En Línea: 1934-0508

Volumes:
Volumen 24, 2021 Volumen 23, 2020 Volumen 22, 2019 Volumen 21, 2018 Volumen 20, 2017 Volumen 19, 2016 Volumen 18, 2015 Volumen 17, 2014 Volumen 16, 2013 Volumen 15, 2012 Volumen 14, 2011 Volumen 13, 2010 Volumen 12, 2009 Volumen 11, 2008 Volumen 10, 2007 Volumen 9, 2006 Volumen 8, 2005 Volumen 7, 2004 Volumen 6, 2003 Volumen 5, 2002 Volumen 4, 2001 Volumen 3, 2000 Volumen 2, 1999 Volumen 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.v21.i3.30
pages 223-239

NONLINEAR SEEPAGE MODEL FOR MULTIPLE FRACTURED HORIZONTAL WELLS WITH THE EFFECT OF THE QUADRATIC GRADIENT TERM

Junjie Ren
School of Sciences, Southwest Petroleum University, Chengdu 610500, Sichuan, China
Ping Guo
State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, Sichuan, China

SINOPSIS

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.


Articles with similar content:

MODELING THE NONLINEAR FLOW BEHAVIOR FOR HORIZONTAL WELL PRODUCTION IN AN UNDERGROUND POROUS-MEDIA FORMATION
Journal of Porous Media, Vol.18, 2015, issue 1
Cong Lu, Jianchun Guo, Dan-Ling Wang, Ren-Shi Nie
SOLUTIONS AND TYPE CURVES OF A FLUID FLOW MODEL FOR NATURALLY FRACTURED RESERVOIRS WITH INFLUX RECHARGE
Journal of Porous Media, Vol.23, 2020, issue 10
Jorge Adrián Perera-Burgos, M. A. Taneco-Hernández, Alfredo González-Calderón, Luis Xavier Vivas-Cruz
EXACT SOLUTION OF NONLINEAR DIFFUSION EQUATION FOR FLUID FLOW IN FRACTAL RESERVOIRS
Special Topics & Reviews in Porous Media: An International Journal, Vol.1, 2010, issue 3
Yuedong Yao
MATHEMATICAL MODEL AND ANALYTICAL SOLUTIONS FOR UNSTEADY FLOW IN NATURAL GAS RESERVOIRS
Journal of Porous Media, Vol.17, 2014, issue 4
Binshan Ju
TRANSIENT PRODUCTION DECLINE BEHAVIOR ANALYSIS FOR A MULTI-FRACTURED HORIZONTAL WELL WITH DISCRETE FRACTURE NETWORKS IN SHALE GAS RESERVOIRS
Journal of Porous Media, Vol.22, 2019, issue 3
Mingqiang Wei, Yonggang Duan, Mingzhe Dong, Morteza Dejam, Quantang Fang