Constant rate solutions for a fractured well with an asymmetric fracture

Berumen, Sergio; Tiab, Djebbar; Rodríguez, Félix

doi:10.1016/s0920-4105(99)00053-4

Cited by 41 publications

(20 citation statements)

References 10 publications

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“…where superscript 1 and 2 represents two states, state 1 corresponds to the present state and state 2 is an auxiliary state which will be chosen as the asymptotic fields for Mode I or Mode II [24],q ,j is the derivative of the weight function q with respect to local xj-axis ,the region A and contour C + ∪ C -as shown in Fig.3,W (1,2) is the interaction energy expressed as Eq. (38) …”

Section: F Fracture Propagation and Orientationmentioning

confidence: 99%

“…The fully coupled formulation was solved by the extended finite element method(XFEM). In comparison with the existing models for hydraulic fracturing, this approach has the following advantages: (1)No need to adopt leak-off coefficient to describe the fluid leak-off phenomenon; (2)No need to assume fracture propagation orientation;(3)No need to conform fracture sides with the element boundary and use special element near the crack tips; (4)After fracture propagation, remeshing is not a necessity. A comparison of the model numerical solutions with the semi-analytical solution indicates that the model is valid.…”

Section: Advances In Intelligent Systems Research Volume 132mentioning

confidence: 99%

“…Hydraulic fracturing has captured considerable attention in that it is widely used in engineering areas, including enhancing hydrocarbon production and geothermal energy extraction [1,2] and measurement of in-situ stresses [3,4], there are mainly four physical processes in hydraulic fracturing : the flow of the fracturing fluid within the fracture, the leak-off of the fracturing fluid from the fracture into the surrounding porous medium and flooding the pore fluid through the surrounding porous medium, mechanical deformation induced by fluid pressurizing, and fracture propagation. Those four processes are coupled with each other.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Simulation of Hydraulic Fracturing Based on the Extended Finite Element Method

Liang

Liu

et al. 2017

Proceedings of the 2017 2nd International Conference on Modelling, Simulation and Applied Mathematics (MSAM2017)

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Abstract-This paper proposed a numerical model to simulate the hydraulic fracture propagation based on the extended finite element method(XFEM), in which a fracture representation is explicit and independent of the mesh grid. The fully coupled formulation described various physical phenomena, including the solid skeleton deformation as well as the fluid flow in porous medium, along the fracture and through the fracture sides toward the surrounding porous medium. The interactive integral method is applied to calculate the stress intensity factor in consideration of fluid pressure on fracture faces. The maximum circumferential stress criterion is used for identifying the fracture growth condition and orientation. In comparison with the current existing XFEM models for hydraulic fracturing, this approach neither needs to introduce leak-off coefficient to describe the fluid leak-off phenomenon, nor requires to assume fracture propagation orientation. Data indicates that the model is valid through a comparison of the model numerical solutions with the semi-analytical(KGD) solution . In the end, fractures simultaneously propagate from three perforating clusters in the horizontal well is simulated at the end of this paper.Keywords-extended finite element method; hydraulic fracture propagation; the interactive integral; horizontal well

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Section: F Fracture Propagation and Orientationmentioning

confidence: 99%

Section: Advances In Intelligent Systems Research Volume 132mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical Simulation of Hydraulic Fracturing Based on the Extended Finite Element Method

Liang

Liu

et al. 2017

Proceedings of the 2017 2nd International Conference on Modelling, Simulation and Applied Mathematics (MSAM2017)

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“…Typical examples are: fractured oil reservoirs [1], hydraulic fracturing for enhanced hydrocarbon production, tight gas reservoirs [2], weakly consolidated offshore sediments [3], soft coal bed methane extraction [4], geothermal energy [5,6], isolation of hazardous waste [7], measurement of in situ stresses [8], fault reactivation [9], and remediation of soil and ground water aquifers [10] to name a few.…”

Section: Introductionmentioning

confidence: 99%

An XFEM Model for Hydraulic Fracturing in Partially Saturated Rocks

Salimzadeh

Khalili

2016

E3S Web Conf.

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Hydraulic fracturing is a complex multi-physics phenomenon. Numerous analytical and numerical models of hydraulic fracturing processes have been proposed. Analytical solutions commonly are able to model the growth of a single hydraulic fracture into an initially intact, homogeneous rock mass. Numerical models are able to analyse complex problems such as multiple hydraulic fractures and fracturing in heterogeneous media. However, majority of available models are restricted to single-phase flow through fracture and permeable porous rock. This is not compatible with actual field conditions where the injected fluid does not have similar properties as the host fluid. In this study we present a fully coupled hydro-poroelastic model which incorporates two fluids i.e. fracturing fluid and host fluid. Flow through fracture is defined based on lubrication assumption, while flow through matrix is defined as Darcy flow. The fracture discontinuity in the mechanical model is captured using eXtended Finite Element Method (XFEM) while the fracture propagation criterion is defined through cohesive fracture model. The discontinuous matrix fluid velocity across fracture is modelled using leak-off loading which couples fracture flow and matrix flow. The proposed model has been discretised using standard Galerkin method, implemented in Matlab and verified against several published solutions. Multiple hydraulic fracturing simulations are performed to show the model robustness and to illustrate how problem parameters such as injection rate and rock permeability affect the hydraulic fracturing variables i.e. injection pressure, fracture aperture and fracture length. The results show the impact of partial saturation on leak-off and the fact that single-phase models may underestimate the leak-off.

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“…Berumen et al [27] proposed constant rate solutions for a fractured well with an asymmetric fracture by employing numerical simulation methods. And then, he made a series of type curves of the ratio of pressure and pressure derivative under different a^: log-log curves ofpo/(2topo) versus /^ (1 -\-a^) 2CfD^.…”

Section: Introductionmentioning

confidence: 99%

Type Curves Analysis for Asymmetrically Fractured Wells

Wang

Xiao-dong

2013

Journal of Energy Resources Technology

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In this paper, a new constant rate solution for asymmetrically fractured wells was proposed to analyze the effect of fracture asymmetry on type curves. Calculative results showed that for a small wellbore storage coefficient or for the low fracture conductivity, the effect of fracture asymmetry on early flow was very strong. The existence of the fracture asymmetry would cause bigger pressure depletion and make the starting time of linear flow occur earlier. Then, new type curves were established for different fracture asymmetry factor and different fracture conductivity. It was shown that a bigger fracture asymmetry factor and low fracture conductivity would prolong the time of wellbore storage effects. Therefore, to reduce wellbore storage effects, it was essential to keep higher fracture conductivity and fracture symmetry during the hydraulic fracturing design. Finally, a case example is peiformed to demonstrate the methodology of new type curves analysis and its validation for calculating important formation parameters.

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Constant rate solutions for a fractured well with an asymmetric fracture

Cited by 41 publications

References 10 publications

Numerical Simulation of Hydraulic Fracturing Based on the Extended Finite Element Method

Numerical Simulation of Hydraulic Fracturing Based on the Extended Finite Element Method

An XFEM Model for Hydraulic Fracturing in Partially Saturated Rocks

Type Curves Analysis for Asymmetrically Fractured Wells

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