Details

Autor(en) / Beteiligte

• Fernandes, Fernando Bastos
• Braga, Arhur Martins Barbosa
• de Souza, Antônio Luiz Serra
• Soares, Antônio Cláudio

Titel

Analytical model to effective permeability loss monitoring in hydraulically fractured oil wells in pressure-sensitive reservoirs

Ist Teil von

• Geoenergy Science and Engineering, 2023-02, Vol.221, p.111248, Article 111248

Ort / Verlag

Elsevier B.V

Erscheinungsjahr

2023

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• This work develops a new analytical model to evaluate the effective permeability response during the oil’s production through a fractured vertical oil well fully penetrating a pressure-sensitive reservoir. The nonlinear hydraulic diffusivity equation (NHDE) is solved analytically through an integro-differential model coupled to Green’s function (GF) related to a semi-infinite oil source plane that represents a hydraulic fracture. The NHDE is perturbed using a first-order asymptotic series expansion method, and the solution is derived in terms of a new effective permeability pseudo-pressure function, considering the matrix and fracture permeability roles. A new hydraulic diffusivity deviation factor is also derived to represent the effective permeability loss as a function of the pore pressure throughout the well-reservoir life cycle. For this oil flow modeling, the general solution is expressed by the sum of the linear solution (constant permeability) plus a corrective term given by the combination of the exponential function and the complementary error function erfc(yD,tD). The model calibration is performed through a porous media numerical oil flow simulator, named IMEX®, widely used in the petroleum industry and scientific works. The results presented high accuracy when compared to the numerical simulator, thus showing that the developed model allows representing the permeability pressure-sensitive response. •Permeability loss monitoring is essential to prevent economic impairments in oil production.•Hydraulically fractured wells are used to improve the oil production in low permeability reservoirs over the world.•Analytical solutions for nonlinear hydraulic diffusivity equation provide computational costs savings when compared to numerical simulators.