Preconditioned Newton Methods for Fully Coupled Reservoir and Surface Facility Models

Byer, Thomas; Edwards, Michael G.; Aziz, Khalid

doi:10.2118/49001-ms

Cited by 14 publications

(9 citation statements)

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“…A subsequent paper (Byer et al 5 ) investigated ways to minimize computational time in solving a coupled system. They developed a local grid refinement preconditioner to accelerate convergence of the full flow field implicit simulation.…”

Section: Spe 101233mentioning

confidence: 99%

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Assisted History Matching for Surface Coupled Gas Reservoir Simulation

Deepankar¹

2006

All Days

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TX 75083-3836, U.S.A., fax 01-972-952-9435. AbstractFor a gas reservoir, the intake pressures are available at a delivery point and the operator is obligated to supply gas honoring such downstream pressure requirements. As a result, it is imperative that the reservoir deliverability prediction be coupled with the pressure drop in the surface network. Additionally, this coupled system should not only honor the imposed delivery point pressure constraints but also the historical attributes of pressures and rates. In this paper, a modified Gauss-Newton method is utilized in conjunction with a non-linear parameter estimation algorithm to history match a surface-reservoir coupled gas reservoir simulation.Control Volume Finite Element (CVFE) based reservoir simulator is amenable to unstructured grids to resolve near wellbore and high activity (high permeability channels, fractures) flow areas. The pressure drop in the surface network is modeled using Weymouth's equation of steady state pipeline flow. More importantly, the total system is solved in a coupled fashion thereby enabling the solution to be controlled by surface pressure constraints. In addition, both surface and reservoir decision variables are estimated using a modified Gauss Newton algorithm in the assisted history matching step.Examples from dry gas reservoir demonstrate the usefulness of this methodology. First, the necessity of coupling surface and reservoir models is highlighted. Next, the computational efficiency of the assisted history matching algorithm as compared to perturbing critical reservoir and surface attributes in a heuristic manner is underscored.There are three significant contributions of this paper, namely (a) an assisted history matching algorithm proves efficient in comparison to arbitrary perturbation of decision variables (b) a coupled reservoir-surface model renders a more accurate pressure prediction of the total system and finally, (c) an unstructured grid simulator provides the platform for accurate and cost-effective reservoir modeling alternative.

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Section: Spe 101233mentioning

confidence: 99%

“…It is interesting to note that full permeability tensor ( k ) can be used to evaluate transmissibility. The harmonic average of permeability is taken while calculating Equation (5). Following similar steps the discretized gas equation (Equation (2)) is…”

Section: Reservoir Simulatormentioning

confidence: 99%

Assisted History Matching for Surface Coupled Gas Reservoir Simulation

Deepankar¹

2006

All Days

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“…Byer et al [14][15][16] extended the work of Schiozer and Aziz 13 to a fully coupled method, in which the equations for all domains are solved simultaneously at the end of each simulator Newton iteration while retaining the extended definition (into the reservoir) of the well subdomains. Also provided for were domain decomposition and parallel treatment within the reservoir and the facilities, and an adaptive implicit reservoir formulation.…”

Section: Conventional Well Model a Basic Example Of Domain Decomposimentioning

confidence: 99%

A Generalized Wellbore and Surface Facility Model, Fully Coupled to a Reservoir Simulator

Coats

Fleming

Watts

et al. 2004

SPE Reservoir Evaluation &Amp; Engineering

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The formulation of a black-oil or compositional fully coupled surface and subsurface simulator is described. It is based on replacing the well model in a conventional reservoir simulator with a generalized network model of the wells and facilities. This allows for representation of complex wellbore geometry and downhole equipment. The method avoids the inefficiencies and/or inaccuracies of other coupled models, in which wells and facilities are treated as separate domains or in which the global system is not solved simultaneously. Example cases demonstrate the performance of the model for cases with simple and segmented wellbores (with and without facilities).

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“…A preconditioning technique for accelerating a fully coupled, fully implicit formulation is presented by Byer et al [17]. A flow chart of the method is shown in Fig.…”

Section: Preconditioned Adaptive Implicit Flow Modelingmentioning

confidence: 99%

A Preconditioned Adaptive Implicit Method for Reservoirs with Surface Facilities

Byer¹,

Edwards²,

Khalid³

1999

Proceedings of SPE Reservoir Simulation Symposium

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TX 75083-3836, U.S.A., fax 01-972-952-9435. AbstractFully implicit coupling of surface facilities with a reservoir model can lead to a significant increase in computing time. The focus of this paper is on methods designed to reduce the computational effort. An adaptive implicit method is coupled with a novel preconditioning method to produce an optimal strategy for fully coupled surface facility reservoir simulation.

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Preconditioned Newton Methods for Fully Coupled Reservoir and Surface Facility Models

Cited by 14 publications

References 0 publications

Assisted History Matching for Surface Coupled Gas Reservoir Simulation

Assisted History Matching for Surface Coupled Gas Reservoir Simulation

A Generalized Wellbore and Surface Facility Model, Fully Coupled to a Reservoir Simulator

A Preconditioned Adaptive Implicit Method for Reservoirs with Surface Facilities

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