Semi-Analytical Modeling of Flow Behavior in Fractured Media with Fractal Geometry

Wang, Junlei; Wei, Yunsheng; Qi, Yue

doi:10.1007/s11242-016-0671-5

Cited by 7 publications

(6 citation statements)

References 34 publications

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“…The correctness of the model was verified by comparing it with the semi-analytical solutions obtained by Medeiros et al (2007). Thereafter, the trilinear flow model has been widely used to investigative the dynamic characteristics of MFHWs in unconventional reservoirs (Ozcan et al 2014;Gao 2014;Wei et al 2015;Wang et al 2015;Chen et al 2016;Wang et al 2016aWang et al , 2016b. Aside from the trilinear flow model, other multi-linear models such as five- (Zhang et al 2016) and seven-region flow models (Yuan et al 2015) have been proposed by some scholars.…”

Section: Introductionmentioning

confidence: 99%

Analytical model for pressure and rate analysis of multi-fractured horizontal wells in tight gas reservoirs

Huang

Yao

et al. 2018

J Petrol Explor Prod Technol

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Multi-fractured horizontal wells (MFHWs) are effective for developing unconventional reservoirs. A complex fracture network around the well and hydraulic fractures form during fracturing. Hydraulic fractures and fracture network are sensitive to the effective stress. However, most existing models do not consider the effects of stress sensitivity. In this study, a new analytical model was established for an MFHW in tight gas reservoirs based on the trilinear flow model. Fractal porosity and permeability were employed to describe the heterogeneous distribution of the complex fracture network. The stress sensitivity of fractures was also considered in the model. Pedrosa substitution and perturbation method were applied to eliminate the nonlinearity of the model. Analytical solutions in the Laplace domain were obtained using Laplace transformation. The model was then validated and applied. Finally, sensitivity analyses of pressure and rate were discussed. The presented model provides a new approach to estimate the effect of fracturing. It can also be utilized to recognize formation properties and forecast the dynamics of pressure and the production of tight gas reservoirs. Keywords Tight gas · Multi-fractured horizontal wells · Complex fracture network · Stress sensitivity List of symbolsGas compressibility (1/MPa) c Pore compressibility (1/MPa) c t Total compressibility (1/MPa) b 3 , b 2 Apparent permeability coefficient in region 3 and region 2 k Permeability (mD) k 3aApparent permeability in region 3 (mD) k 2aApparent permeability in matrix in region 2 (mD) k 2frefFracture permeability in region 2 at the boundary of the hydraulic fracture (mD) k 1refPermeability of region 1 at initial condition (mD) Porosity 2fref Fracture porosity in region 2 at the boundary of the hydraulic fracture Λ Λ= c ti 2m + c ti 2frefStorativity ratio = c ti 2fref Λ, Inter-porosity coefficient = The spacing from the wellbore to the boundary (m) y eHalf fracture spacing (m)

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Section: Introductionmentioning

confidence: 99%

Analytical model for pressure and rate analysis of multi-fractured horizontal wells in tight gas reservoirs

Huang

Yao

et al. 2018

J Petrol Explor Prod Technol

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“…It has been proven that multi-stage fracturing horizontal wells constitute a very effective way to exploit low-permeability shale gas reservoirs. Due to the complex fracture network created in stimulated reservoir volume regions, it is a great challenge to accurately analyze production performance and evaluate post-fracture performance in such complex fractured reservoirs 3 .…”

Section: Introductionmentioning

confidence: 99%

“…Some scholars attempted to utilize numerical models with a discrete fracture network to describe secondary fractures in SRV zones 12 – 15 . Although the production performance of a complex fracture network can be discerned through the use of numerical methods, numerical simulation is less attractive and pragmatic due to the large amount of requisite knowledge and time-consumption during the history matching process 3 . In contrast, the analytical model is an alternative for accurately forecasting flow behaviors and calculation efficiency.…”

Section: Introductionmentioning

confidence: 99%

“…Wang et al . 3 presented semi-analytical modelling of flow behavior in fractured media with fractal geometry. Zhang et al .…”

Section: Introductionmentioning

confidence: 99%

“…The proposed fluid flow models with fractal geometry 3 , 16 – 21 are convenient for conducting pressure transient analysis for understanding flow in complex reservoirs 22 – 25 . Random fractures will be produced during the process of hydraulic fracturing.…”

Section: Introductionmentioning

confidence: 99%

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A multi-scale flow model for production performance analysis in shale gas reservoirs with fractal geometry

Wang

Dong

et al. 2018

Sci Rep

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Shale gas reservoirs can be divided into three regions, including hydraulic fracture regions, stimulating reservoir volume regions (SRV regions), and outer stimulating reservoir volume regions (OSRV regions). Due to the impact of hydraulic fracturing, induced fractures in SRV regions are often irregular. In addition, a precise description of secondary fractures in SRV regions is of critical importance for production analysis and prediction. In this work, the following work is achieved: (1) the complex fracture network in the SRV region is described with fractal theory; (2) a dual inter-porosity flow mechanism with sorption and diffusion behaviors is considered in both SRV and OSRV regions; and (3) both multi-rate and multi-pressure solutions are proposed for history matching based on fractal models and Duhamel convolution theory. Compared with previous numerical and analytic methods, the developed model can provide more accurate dynamic parameter estimates for production analysis in a computationally efficient manner. In this paper, type curves are also established to delineate flow characteristics of the system. It is found that the flow can be classified as six stages, including a bi-linear flow regime, a linear flow regime, a transition flow regime, an inter-porosity flow regime from the matrix to the fractures in the inner region, inter-porosity flow regime from matrix to fractures in the outer region, and a boundary dominant flow regime. The effects of the fracture and matrix properties, fractal parameters, inter-porosity flow coefficients, and sorption characteristics on type curves and production performance were studied in detail. Finally, production performance was analyzed for Marcellus and Fuling shale gas wells, in the U.S.A. and China, respectively.

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A Fractional Decline Model Accounting for Complete Sequence of Regimes for Production from Fractured Unconventional Reservoirs

Liu

2021

Transp Porous Med

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Semi-Analytical Modeling of Flow Behavior in Fractured Media with Fractal Geometry

Cited by 7 publications

References 34 publications

Analytical model for pressure and rate analysis of multi-fractured horizontal wells in tight gas reservoirs

Analytical model for pressure and rate analysis of multi-fractured horizontal wells in tight gas reservoirs

A multi-scale flow model for production performance analysis in shale gas reservoirs with fractal geometry

A Fractional Decline Model Accounting for Complete Sequence of Regimes for Production from Fractured Unconventional Reservoirs

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