A relaxation multiresolution scheme for accelerating realistic two‐phase flows calculations in pipelines

Andrianov, Nikolai; Coquel, Fré́dé́ric; Postel, Marie; Tran, Quang Huy

doi:10.1002/fld.1397

Cited by 12 publications

(13 citation statements)

References 22 publications

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“…The relaxation problem. As explained in [5,10,22] (see also [2,3,4]), it is judicious to approximate the entropic weak solutions of the original problem by those of a relaxation model: this helps us cope more easily with the nonlinearities in the closure laws. It is well known [18] that the (strict) convexity ∂ ττ P (τ, Y ) > 0 stated in (3.1d) is responsible for the (genuine) nonlinearities in the two extreme fields.…”

Section: Practical Proceduresmentioning

confidence: 99%

Entropy-satisfying relaxation method with large time-steps for Euler IBVPs

Coquel

Nguyen

Postel³

et al. 2010

Math. Comp.

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Abstract. This paper could have been given the title: "How to positively and implicitly solve Euler equations using only linear scalar advections." The new relaxation method we propose is able to solve Euler-like systems-as well as initial and boundary value problems-with real state laws at very low cost, using a hybrid explicit-implicit time integration associated with the Arbitrary Lagrangian-Eulerian formalism. Furthermore, it possesses many attractive properties, such as: (i) the preservation of positivity for densities; (ii) the guarantee of min-max principle for mass fractions; (iii) the satisfaction of entropy inequality, under an expressible bound on the CFL ratio. The main feature that will be emphasized is the design of this optimal time-step, which takes into account data not only from the inner domain but also from the boundary conditions.

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Section: Practical Proceduresmentioning

confidence: 99%

Entropy-satisfying relaxation method with large time-steps for Euler IBVPs

Coquel

Nguyen

Postel³

et al. 2010

Math. Comp.

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“…For this particular test case, the dependence of the speed-up due to the adaptive mesh refinement from the number of coarsening levels is minor (not shown in this paper). Analogously to the results for the two-phase flows in pipelines during the offshore oil production [23], it is expected that this dependence will be more pronounced for very long streamlines, and for relatively large threshold parameters ε .…”

Section: Numerical Examplesmentioning

confidence: 61%

Acceleration of Streamline Simulation Using Adaptive Mesh Refinement Along Streamlines

Andrianov¹,

Bratvedt²

2007

Proceedings of SPE Reservoir Simulation Symposium

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fax 01-972-952-9435. AbstractStreamline methods have become an efficient technology for reservoir simulation. The key assumption of the method is that the pressure field can be updated relatively less frequently, and the saturations can be transported along the streamlines defined by the velocity field. The efficiency of the solution method along the streamlines is very important for the overall efficiency of the method.In this work, the acceleration of the saturation transport using adaptive mesh refinement (AMR) along streamlines is investigated. The refinement strategy is based on the multiscale wavelet techniques. The one-dimensional solution is decomposed into a set of coarse-grid cell values and a set of solution details, which indicate the smoothness of the solution. This decomposition is recursively applied to the resulting representation until the coarsest mesh level is reached. From this multi-resolution representation of the solution an adaptive grid is constructed by thresholding of negligible details. Then, a second-order finite volume method is used on the obtained adaptive grid.The performance of the resulting multi-resolution scheme on a synthetic and a real reservoir model is studied, using twophase incompressible and three-phase black oil compressible data. It is shown that the use of the AMR technique can provide up to a five-fold acceleration compared to the solution of the same numerical method on a uniform grid. The proposed technique is implemented in a commercial reservoir simulator.

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“…In order to assess the LSTM model performance for VFM applications, we consider a synthetic two-phase severe slugging case (see [4]) and a realistic threephase well testing dataset.…”

Section: Introductionmentioning

confidence: 99%

A Machine Learning Approach for Virtual Flow Metering and Forecasting

Andrianov

2018

IFAC-PapersOnLine

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We are concerned with robust and accurate forecasting of multiphase flow rates in wells and pipelines during oil and gas production. In practice, the possibility to physically measure the rates is often limited; besides, it is desirable to estimate future values of multiphase rates based on the previous behavior of the system. In this work, we demonstrate that a Long Short-Term Memory (LSTM) recurrent artificial network is able not only to accurately estimate the multiphase rates at current time (i.e., act as a virtual flow meter), but also to forecast the rates for a sequence of future time instants. For a synthetic severe slugging case, LSTM forecasts compare favorably with the results of hydrodynamical modeling. LSTM results for a realistic noizy dataset of a variable rate well test show that the model can also successfully forecast multiphase rates for a system with changing flow patterns.

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A relaxation multiresolution scheme for accelerating realistic two‐phase flows calculations in pipelines

Cited by 12 publications

References 22 publications

Entropy-satisfying relaxation method with large time-steps for Euler IBVPs

Entropy-satisfying relaxation method with large time-steps for Euler IBVPs

Acceleration of Streamline Simulation Using Adaptive Mesh Refinement Along Streamlines

A Machine Learning Approach for Virtual Flow Metering and Forecasting

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