A semi-analytical fractal model for production from tight oil reservoirs with hydraulically fractured horizontal wells

Wang, Wendong; Shahvali, Mohammad

doi:10.1016/j.fuel.2015.06.008

Cited by 96 publications

(43 citation statements)

References 31 publications

(30 reference statements)

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“…Zhang et al (2015) then presented a numerical five-region model with multi-nonlinearity to study the production of shale gas. To account for heterogeneity of complex fracture network inside the SRV, Wang et al (2015aWang et al ( , 2015b and Fan and Ettehadtavakkol (2017) introducing the fractal dimension to quantitatively describe the complex fracture density inside the SRV in Barnett shale reservoir.…”

Section: Analytical and Semi-analytical Methodsmentioning

confidence: 99%

A review of stimulated reservoir volume characterization for multiple fractured horizontal well in unconventional reservoirs

Wang¹,

Zheng²,

Sheng³

et al. 2017

Adv. Geo-Energ. Res.

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Unconventional resource exploration has boosted U.S. oil and gas production, which is successfully by horizontal well drilling and hydraulic fracturing. The horizontal well with multiple transverse fractures has proven to be effective stimulation approach could increase reservoir contact significantly. Unlike the single fracture planes in typical low permeability sands, fractures in shales tends to generate more complex, branching networks. The concept of stimulated reservoir volume (SRV) was developed to quantitative measure of multistage fracture interact with natural fractures in unconventional reservoir. However, the simple fracture modeling of the past do not suitable for the complex scenarios simulation. This paper reviews the mainstream characterization method of stimulated reservoir volume in shale reservoirs, including microseismic interpretation, rate transient analysis method, analytical and semi-analytical method and numerical method. Finally, the systematic evaluation of application conditions with respect to each method and further research directions for characterization method are proposed.

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Section: Analytical and Semi-analytical Methodsmentioning

confidence: 99%

A review of stimulated reservoir volume characterization for multiple fractured horizontal well in unconventional reservoirs

Wang¹,

Zheng²,

Sheng³

et al. 2017

Adv. Geo-Energ. Res.

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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%

“…Cossio et al (2013) first applied this theory to the trilinear flow model and obtained a semi-analytical solution for a vertically fractured well. Wang et al (2015) further established a fractal trilinear flow model for MFHWs in tight oil reservoirs.…”

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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“…Fractal theory is also implemented to describe the heterogeneity of fracture networks around fractured horizontal wells (Costantini, Falcone, Hewitt, & Alimonti, 2008;Guo, Zhang, Zhang, Qing, & Liu, 2012). Wang, Shahvali, and Su (2015) incorporated the tri-linear flow model with fractal theory to study the impacts of fracture heterogeneity on well productivity.…”

Section: Introductionmentioning

confidence: 99%

A composite dual-porosity fractal model for channel-fractured horizontal wells

Wang

Sheng

Yao

et al. 2017

Engineering Applications of Computational Fluid Mechanics

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2018) A composite dual-porosity fractal model for channel-fractured horizontal wells, Engineering Applications of ABSTRACTThe channel fracturing technique has been proven to provide much higher conductive fracture networks by placing discontinuously proppant inside fracture packs. Despite the great success of this new fracturing technique, there is still a lack of models and methods to characterize non-uniform placement of fracture proppant and heterogeneous permeability distribution within stimulatedreservoir-volume (SRV). In this article, a dual-porosity model is coupled with the tri-linear flow model to quantify the production performance of channel fractured horizontal wells. As a consequence of channel fracturing, the non-uniform distribution of fracture networks, and the heterogeneities of both matrix/fracture porosity and permeability are characterized using fractal theory. By implementing the Bessel Function and Laplace transform techniques, analytical solutions are derived by integrating fluid flow across primary hydraulic fractures, SRV and unstimulated reservoir matrices. Through quantitative comparisons of well bottom-hole pressure history, a synthetic fine-grid numerical simulation example is implemented to verify the accuracy of analytical solutions. Sensitivity analysis of fractal dimension, fractal connectivity-index and primary fracture conductivity is carried out to quantify the temporal and spatial consequences of channel fracturing on both reservoir/facture heterogeneity and well productivity throughout well life. ARTICLE HISTORY

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A semi-analytical fractal model for production from tight oil reservoirs with hydraulically fractured horizontal wells

Cited by 96 publications

References 31 publications

A review of stimulated reservoir volume characterization for multiple fractured horizontal well in unconventional reservoirs

A review of stimulated reservoir volume characterization for multiple fractured horizontal well in unconventional reservoirs

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

A composite dual-porosity fractal model for channel-fractured horizontal wells

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