Abstract
Massive hydraulic fracturing of vertical wells has been extensively employed in the development of low-permeability gas reservoirs. The existence of multiple hydraulic fractures along a vertical well makes the pressure profile around the vertical well complex. This paper studies the pressure dependence of permeability to develop a seepage model of vertical fractured wells with multiple hydraulic fractures. Both transformed pseudo-pressure and perturbation techniques have been employed to linearize the proposed model. The superposition principle and a hybrid analytical-numerical method were used to obtain the bottom-hole pseudo-pressure solution. Type curves for pseudo-pressure are presented and identified. The effects of the relevant parameters (such as dimensionless permeability modulus, fracture conductivity coefficient, hydraulic-fracture length, angle between the two adjacent hydraulic fractures, the difference of the hydraulic-fracture lengths, and hydraulic-fracture number) on the type curve and the error caused by neglecting the stress sensitivity are discussed in detail. The proposed work can enrich the understanding of the influence of the stress sensitivity on the performance of a vertical fractured well with multiple hydraulic fractures and can be used to more accurately interpret and forecast the transient pressure.
Highlights
Gas flow in porous media has recently attracted much attention and stimulated great interest in the development of oil and gas reservoirs [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]
In order to validate the proposed model and show how this model was used in practice, the drawdown test data of a vertical fractured well with four fracture wings were collected from the published literature [44]
The fractured well with multiple hydraulic fractures in Thebottom-hole bottom-holepseudo-pressure pseudo-pressureofofa avertical vertical fractured well with multiple hydraulic fractures stress-sensitive gas reservoirs was calculated by the proposed model
Summary
Gas flow in porous media has recently attracted much attention and stimulated great interest in the development of oil and gas reservoirs [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]. Lots of models have been established to study the performance of various wells in stress-sensitive reservoirs [16,17,18]. A great variety of seepage models of vertical fractured wells have been proposed and the characteristic of pressure response has been studied in detail. Effect of relevant parameters error caused neglecting the multiple hydraulic fractures the in stress-sensitive gas reservoirs.onInthe particular, the by effect of relevant stress sensitivity has not caused been recognized clearly. Parameters on the error by neglecting the stress sensitivity has not been recognized clearly In this a seepage model of vertical fractured wells wells with multiple finiteIn this paper, paper,we wepropose propose a seepage model of vertical fractured with multiple conductivity hydraulic fractures. Thevertical performance of vertical fractured wells with multiple hydraulic fractures
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