Fluid Flow and Structural Response Modeling Associated With the Mechanics of Hydraulic Fracturing

Advani, S. H.; Lee, June K.; Khattab, H.; Gurdogan, O.

doi:10.2118/10846-pa

Cited by 6 publications

(3 citation statements)

References 37 publications

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“…Settari (1988) presented a quantitative evaluation of vertical extension and extended the PKN and CGD models for more practical variable field problems. By using the finite element method, Advani et al (1985) and Advani et al (1986) solved an elliptical lumped model similar to the generalized PKN model presented by Cleary (1980). Their model considered the fluid flow in both the vertical and pay zone directions in the form of continuity equations.…”

Section: Group I: Early Modeling Stage Of the 1980s-1990smentioning

confidence: 99%

“…Correspondingly, the fracture height growth is calculated on the basis of the equilibrium height concept and is then extended to the non-equilibrium height growth, in which the pressure resistance caused by the vertical viscous flow is considered in the form of apparent fracture toughness (Mack and Warpinski 2000). The UFM solves the governing system using the 1980s-1990s Lumped model by combining PKN-type solution for lateral growth and KGD-type solution for height growth Cleary (1980), Cleary et al (1983b), Settari and Cleary (1986) Lumped model with viscous fluid flow in both vertical and horizontal directions solved using the finite element method; LEFM is precluded Advani et al (1985), Advani et al (1986) Classical P3D model extended for three-layer asymmetrical formation; leak-off with spurt loss is considered Palmer and Carroll Jr (1983), Palmer and Craig (1984) P3D model applicable to viscous-dominated and viscous-totoughness transitional regimes in the vertical direction Markov andLinkov (2018), Linkov andMarkov (2020) Newton-Raphson method for the entire network rather than only one hydraulic fracture in a single plane. The interaction between induced hydraulic fractures and natural fractures was first considered using an analytical crossing criterion adopted from Renshaw and Pollard (1995), which agreed with the experiments.…”

Section: Lumped Fracture Network Modelsmentioning

confidence: 99%

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Review of pseudo-three-dimensional modeling approaches in hydraulic fracturing

Nguyen

Lee

Elraies

2021

J Petrol Explor Prod Technol

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In the field of hydraulic fracture modeling, the pseudo-three-dimensional (P3D) approach is an efficient and practical computational tool serving as a compromise between two-dimensional and planar three-dimensional models. This review discusses the P3D modeling approach from its early developmental stage in the 1980s to the present. The evolution of P3D modeling is drawn over time based on the major differences in the governing formulation and assumptions considered by each model. The problems of equilibrium height growth and vertical viscous fluid resistance (i.e., non-equilibrium height growth) emphasize the primary differences among these models. Besides, the P3D-based complex fracture network models for shale oil and gas reservoirs accounting for the interaction between preexisting natural fractures and induced hydraulic fractures are discussed. Finally, in the application section, several simulations are reported to demonstrate the validation of the P3D numerical algorithm by comparing it with the Perkins–Kern–Nordgren (PKN) large and small asymptotic solutions, as well as the effect of time-dependent variable injection rates on the hydraulic fracture propagation. The results showed a good matching between P3D and PKN solutions and a significant effect of the wellbore variable injection rate on the evolution of the fracture length.

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Section: Group I: Early Modeling Stage Of the 1980s-1990smentioning

confidence: 99%

Section: Lumped Fracture Network Modelsmentioning

confidence: 99%

Review of pseudo-three-dimensional modeling approaches in hydraulic fracturing

Nguyen

Lee

Elraies

2021

J Petrol Explor Prod Technol

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“…The final equation is for the mass balance law which takes a different form from Eq. (7). The rate of fluid flow given on the right hand side of Eq.…”

Section: 'L=-h*pi+pghlmentioning

confidence: 99%

The Role of Geomechanics in Reservoir Simulation

Gutierrex

Lewis²

1998

All Days

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t i9QS, S'acW of Petrobum EngbIwrs, h-m. This paper was prepmd k+ pfosaotdim d SPEKiRM Eurcc4t98 held in Trontielm, Norway, S-10 Juiv 199S. 7his paper w selected for pmsentdion by qn SW Program Ccxnmftfea following rewiew of inforrndii contained in qn qbstmd submiffti by fho author(s). Ccmlents of tfte parer, as presented, havo not boon reviewed by tfw scciuy of Pelrckum Engineers and are subjec! to emacfii by tfw author(s). TIW material, q8 presented, &es not necessarily rdkct any positico of the Swiety of Petrc4eum Engineers, ifs ofkers, or members PafMrs presented d SPE mWtlngs are subjecf 10 pubIicdicm rwkw by Edilorial Cmnmfttees of the society of Petroleum Sngineers. Elecfrcmicr~mducflcm, distribut!-sm, or dorage of any part of this parer fcf ccmmerc!d purposes withou! the wiften ccmsent of the Soaety of Petroleum Engineers is prohibited Permbskm 10 mprcduca in prim u reatmcted to an abstract of not more than X0 wow, ilfuslralkas may not M copfed. 7he abstract must ccmtatn conspicuous ackmwwgm~t of wlwrc and by wIIcm M paper W8S presented. Write Librarian, SPE. P.O. E!QXSS3336. Ftich@sc4% TX 7S0S3SS35. U.S.A. fax 01 -972-952.94S5 AbstractThe paper presents a discussion on the issues related to the interaction between gcomechanics and reservoir simulation in deformable hydrocarbon reservoirs. Geomechanics is important in order to account for rock deformations due to pore pressure and temperature changes resulting from production and fluid injection. Rock deformation can affect the permeability and pore compressibility of the rock. In turn, the pore pressures will be vary due to changes in the pore volume. Geomechanics is also required in order to account for the effect of the non-pay rock surrounding the reservoir on the overalI reservoir compressibility and the loads transmitted to the reservoir by the weight of the overburden rock.The paper gives the formulation and finite element discretization of Biot's equations for multi-phase fluid flow in deformable porous media. Based on this formulation, it is rewed that geomechanical response and multi-phase fluid fIOW are fully-coupled processes in that pore pressure changes affect rock mechanical response and vice-versa, and that the two processes occur simtdtaneously.By contrasting Biot's equations and its discretization to the corresponding mukiphase flttiif Now equations used in reservoir simulations, it is shown that reservoir simulators neglect or simplify important geomechanical aspects that can have impact on reservoir productivity. This is attributed to the fact that the only rock mechanicrd parameter involved in reservoir sirrtuIations is pore compressibility. This parameter is not sufficient in representing aspects of rock behaviour such as stress path dependency and dilatartcy, which require a fill constitutive relation. Furthermore, the pore pressure changes due to the applied loads from the non-pay rock cannot be accounted for by simply adjusting the pore compressibility. Example probiems are shown in order to illustrate the value of coupling geomec...

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7. Bibliography

1989

Developments in Petroleum Science

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Fluid Flow and Structural Response Modeling Associated With the Mechanics of Hydraulic Fracturing

Cited by 6 publications

References 37 publications

Review of pseudo-three-dimensional modeling approaches in hydraulic fracturing

Review of pseudo-three-dimensional modeling approaches in hydraulic fracturing

The Role of Geomechanics in Reservoir Simulation

7. Bibliography

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