A generalization to transient bilinear flows

Silva-López, Dan; Solano-Barajas, Ramón; Turcio, M.; Vargas, René O.; Manero, Ο.; Balankin, Alexander S.; Lira-Galeana, C.

doi:10.1016/j.petrol.2018.03.109

Cited by 3 publications

(2 citation statements)

References 14 publications

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“…2). This proportionality is in accordance with the behavior documented by Guppy et al (1981b) and Silva-López et al (2018). In particular, we can describe the variation of dimensionless flow rate in the well during the bilinear flow regime as:…”

Section: Resultssupporting

confidence: 91%

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Bilinear pressure diffusion and termination of bilinear flow in a vertically fractured well injecting at constant pressure

D.¹,

R.²,

Rioseco³

2020

Preprint

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Abstract. This work studies intensively the flow in fractures with finite hydraulic conductivity intersected by a well injecting/producing at constant pressure. Previous investigations showed that for a certain time the reciprocal of flow rate is proportional to the fourth root of time, which is characteristic of the flow regime known as bilinear flow. Using a 2D numerical model, we demonstrated that during the bilinear flow regime the transient propagation of isobars along the fracture is proportional to the fourth root of time. Moreover, we present relations to calculate the termination time of bilinear flow under constant injection or production well pressure, as well as, an expression for the bilinear hydraulic diffusivity of fractures with finite hydraulic conductivity. To determine the termination of bilinear flow regime, two different methods were used: (a) numerically measuring the transient of flow rate in the well and (b) analyzing the propagation of isobars along the fracture. Numerical results show that for low fracture conductivities the transition from bilinear flow to another flow regime occurs before the pressure front reaches the fracture tip and for high fracture conductivities it occurs when the pressure front arrives at the fracture tip. Hence, this work complements and advances previous research on the interpretation and evaluation of well test analysis under different reservoir conditions. Our results aim at improving the understanding of the hydraulic diffusion in fractured geologic media and as a result they can be utilized for the interpretation of hydraulic tests, for example to estimate the fracture length.

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Section: Resultssupporting

confidence: 91%

“…CC BY 4.0 License. -López et al (2018) presented an analytical solution for an infinite fracture considering the case of variable flow rate for long-time in dimensionless form:…”

Section: Previous Solutions For Bilinear Flow At Constant Wellbore Prmentioning

confidence: 99%

Bilinear pressure diffusion and termination of bilinear flow in a vertically fractured well injecting at constant pressure

D.¹,

R.²,

Rioseco³

2020

Preprint

View full text Add to dashboard Cite

show abstract

Three-dimensional transient flow in heterogeneous reservoirs: Integral transform solution of a generalized point-source problem

Pelisoli

Cotta²,

Naveira-Cotta

et al. 2022

Journal of Petroleum Science and Engineering

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Bilinear pressure diffusion and termination of bilinear flow in a vertically fractured well injecting at constant pressure

2020

View full text Add to dashboard Cite

Abstract. This work studies intensively the flow in fractures with finite hydraulic conductivity intersected by a well injecting or producing at constant pressure, either during an injection or production well test or the operation of a production well. Previous investigations showed that for a certain time the reciprocal of flow rate is proportional to the fourth root of time, which is characteristic of the flow regime known as bilinear flow. Using a 2D numerical model, we demonstrated that during the bilinear flow regime the transient propagation of isobars along the fracture is proportional to the fourth root of time. Moreover, we present relations to calculate the termination time of bilinear flow under constant injection or production well pressure as well as an expression for the bilinear hydraulic diffusivity of fractures with finite hydraulic conductivity. To determine the termination of bilinear flow regime, two different methods were used: (a) numerically measuring the transient flow rate in the well and (b) analyzing the propagation of isobars along the fracture. Numerical results show that for low dimensionless fracture conductivities the transition from bilinear flow to another flow regime (e.g., pseudo-radial flow) occurs before the pressure front reaches the fracture tip, and for high dimensionless fracture conductivities it occurs when the pressure front arrives at the fracture tip. Hence, this work complements and advances previous research on the interpretation and evaluation of well test analysis under different reservoir conditions. Our results aim to improve the understanding of the hydraulic diffusion in fractured geologic media, and as a result they can be utilized for the interpretation of hydraulic tests, for example to estimate the fracture length. Highlights. The reciprocal of flow rate is proportional to the fourth root of time. The migration of isobars in the fracture is proportional to the fourth root of time. For low dimensionless fracture conductivities, bilinear flow ends before the pressure front reaches the fracture tip. For high dimensionless fracture conductivities, bilinear flow ends when the pressure front reaches the fracture tip. Isobars accelerate when they approach the fracture tip.

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A generalization to transient bilinear flows

Cited by 3 publications

References 14 publications

Bilinear pressure diffusion and termination of bilinear flow in a vertically fractured well injecting at constant pressure

Bilinear pressure diffusion and termination of bilinear flow in a vertically fractured well injecting at constant pressure

Three-dimensional transient flow in heterogeneous reservoirs: Integral transform solution of a generalized point-source problem

Bilinear pressure diffusion and termination of bilinear flow in a vertically fractured well injecting at constant pressure

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