A fully coupled hydro‐thermo‐poro‐mechanical model for black oil reservoir simulation

Pao, William; Lewis, R. W.; Masters, Ian

doi:10.1002/nag.174

Cited by 80 publications

(37 citation statements)

References 23 publications

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“…For instance, stresses, fluid pressure and temperature conditions found at large depths may lead to a range of situations where conventional reservoir modeling fails to provide an accurate analysis [28,52,132].…”

Section: Literature Review 121 Geomechanicsmentioning

confidence: 99%

“…It turns out that poroelasticity is the basic theory to predict the com-2 paction of a producing hydrocarbon reservoir and the related hazards, including land subsidence and borehole damages [132,173]. Several environmental issues connected with ground-water withdrawal, or the safe long-term disposal of wastes in the subsurface, i.e.…”

Section: Literature Review 121 Geomechanicsmentioning

confidence: 99%

“…They formulated the equations by using material coefficients which are more concise and easier to use in practical applications [111]. A direct application of geomechanics to hydrocarbon reservoirs is relatively rare but can be tracked back to the early work of Geertsma [77,78], Gassman, and later by others [132].…”

Section: Literature Review 121 Geomechanicsmentioning

confidence: 99%

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Domain Decomposition Methods in Geomechanics

Florez

Wheeler

Rodríguez

2013

SPE Reservoir Simulation Symposium

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Dedicated to the memory of my beloved mother Emma Guzman and mysister Aura E. Florez-Guzman. AcknowledgmentsI would like to express my sincere appreciation for my advisor, Professor Mary F. Wheeler. She practically brought me from Venezuela for giving me the opportunity to attend graduate school at US. This ultimately opened new avenues to insert myself successfully in a country with a different language and culture. I will always appreciate this opportunity. She introduced me to topics such as mixed finite elements, discontinuous Galerkin schemes, domain decomposition and mortar methods. I am also thankful for her financial support, enthusiasm, and persistence on pursuing cutting-edge research.

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Section: Literature Review 121 Geomechanicsmentioning

confidence: 99%

Section: Literature Review 121 Geomechanicsmentioning

confidence: 99%

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Domain Decomposition Methods in Geomechanics

Florez

Wheeler

Rodríguez

2013

SPE Reservoir Simulation Symposium

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“…The fully coupled methods solve the coupled problems simultaneously, using the Newton-Raphson method (Lewis and Sukirman, 1993a,b;Sukirman and Lewis, 1993;Pao et al, 2001;Gutierrez and Lewis, 2002;Pao and Lewis, 2002;Lewis et al, 2003;White and Borja, 2008). This approach typically provides unconditional stability, but requires a unified flow and geomechanics, which results in the enormous software development and huge computational cost.…”

Section: Numerical Implementationmentioning

confidence: 99%

Gas Flow Tightly Coupled to Elastoplastic Geomechanics for Tight and Shale Gas Reservoirs: Material Failure and Enhanced Permeability

Kim

Moridis

2012

All Days

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We investigate coupled flow and geomechanics in gas production from extremely low permeability reservoirs such as tight and shale gas reservoirs, using dynamic porosity and permeability during numerical simulation. In particular, we take the intrinsic permeability as a step function of the status of material failure, and the permeability is updated every time step. We consider gas reservoirs with the vertical and horizontal primary fractures, employing the single and dynamic double porosity (dual continuum) models. We modify the multiple porosity constitutive relations for modeling the double porous continua for flow and geomechanics. The numerical results indicate that production of gas causes redistribution of the effective stress fields, increasing the effective shear stress and resulting in plasticity. Shear failure occurs not only near the fracture tips but also away from the primary fractures, which indicates generation of secondary fractures. These secondary fractures increase the permeability significantly, and change the flow pattern, which in turn causes a change in distribution of geomechanical variables. From various numerical tests, we find that shear failure is enhanced by a large pressure drop at the production well, high Biot's coefficient, low frictional and dilation angles. Smaller spacing between the horizontal wells also contributes to faster secondary fracturing. When the dynamic double porosity model is used, we observe a faster evolution of the enhanced permeability areas than that obtained from the single porosity model, mainly due to a higher permeability of the fractures in the double porosity model. These complicated physics for stress sensitive reservoirs cannot properly be captured by the uncoupled or flow-only simulation, and thus tightly coupled flow and geomechanical models are highly recommended to accurately describe the reservoir behavior during gas production in tight and shale gas reservoirs and to smartly design production scenarios. IntroductionUnconventional natural gas such as tight and shale gas has become an increasingly important source of natural gas in the United States over the past decade and the estimates of the natural gas resource potential for shale gas range from 14.16×10

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“…For instance, the recent increase of the available computer resources has fostered the coupled simulation of different physical processes that were traditionally addressed separately. An example is the simulation of multi-phase flow in deformable media [18][19][20] where the levels can be naturally represented by the unknowns related to the pressure of the fluids and the solid skeleton displacements. Similarly, in coupled flow and transport simulations [21] the hydraulic head and the contaminant concentration can be easily recognized as different levels as well as the temperature and the displacements in thermo-mechanical models [22].…”

Section: Introductionmentioning

confidence: 99%

Multi‐level incomplete factorizations for the iterative solution of non‐linear finite element problems

Janna

Ferronato

Gambolati

2009

Numerical Meth Engineering

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Several engineering applications give rise quite naturally to linearized FE systems of equations possessing a multi-level structure. An example is provided by geomechanical models of layered and faulted geological formations. For such problems the use of a multi-level incomplete factorization (MIF) as a preconditioner for Krylov subspace methods can prove a robust and efficient solution accelerator, allowing for a fine tuning of the fill-in degree with a significant improvement in both the solver performance and the memory consumption. The present paper develops two novel MIF variants for the solution of multi-level symmetric positive definite systems. Two correction algorithms are proposed with the aim of preserving the positive definiteness of the preconditioner, thus avoiding possible breakdowns of the preconditioned conjugate gradient solver. The MIF variants are experimented with in the solution of both a single system and a long-term quasi-static simulation dealing with a multi-level geomechanical application. The numerical results show that MIF typically outperforms by up to a factor 3 a more traditional algebraic preconditioner such as an incomplete Cholesky factorization with partial fill-in. The advantage is emphasized in a longterm simulation where the fine fill-in tuning allowed for by MIF yields a significant improvement for the computer memory requirement as well

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A fully coupled hydro‐thermo‐poro‐mechanical model for black oil reservoir simulation

Cited by 80 publications

References 23 publications

Domain Decomposition Methods in Geomechanics

Domain Decomposition Methods in Geomechanics

Gas Flow Tightly Coupled to Elastoplastic Geomechanics for Tight and Shale Gas Reservoirs: Material Failure and Enhanced Permeability

Multi‐level incomplete factorizations for the iterative solution of non‐linear finite element problems

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