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An OpenMP parallel implementation using a coprocessor for numerical simulation of oil reservoirs

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Abstract

The objective of this work is to parallelize, using the Application Programming Interface (API) OpenMP (Open Multi-Processing) and Intel Xeon Phi coprocessor based on Intel Many Integrated Core (MIC) architecture, the numerical method used to solve the algebraic system resulting from the discretization of the differential partial equation (PDE) that describes the single-phase flow in an oil reservoir. The set of governing equations are the continuity equation and the Darcy’s law. The Hydraulic Diffusivity Equation (HDE), for the unknown pressure, is obtained from these fundamental equations and it is discretized by means of the Finite Difference Method (FDM) along with a time implicit formulation. Different numerical tests were performed to study the computational efficiency of the parallelized versions of Conjugate Gradient, BiConjugate Gradient and BiConjugate Gradient Stabilized methods. Speedup results were considered to evaluate the performance of the parallel algorithms for the horizontal well simulation case. The methodology also included a sensibility analysis for different production scenarios including variations on the permeability, formation-value-factor, well length and production rate.

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Notes

  1. This means that even if all the steps of one core pipeline take 4 cycles to perform, at each cycle one of the threads will always ending a computational operation.

  2. Is a floating-point multiply–add operation performed in one step.

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Acknowledgements

The authors gratefully thank Rio de Janeiro State University, CAPES, CNPq and FAPERJ for their support.

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Authors and Affiliations

  1. Polytechnic Institute - Rio de Janeiro State University (UERJ), Post office box 97282, Nova Friburgo, RJ, CEP 28610-974, Brazil

    L. F. Werneck, M. M. de Freitas, G. de Souza, L. F. C. Jatobá & H. P. Amaral Souto

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  1. L. F. Werneck
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  2. M. M. de Freitas
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  3. G. de Souza
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  4. L. F. C. Jatobá
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  5. H. P. Amaral Souto
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Correspondence to G. de Souza.

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Communicated by Abimael Loula.

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This work was supported in part by the National Council for Scientific and Technological Development (CNPq-Brazil) through Grant 306212/2015-3 and Carlos Chagas Filho Research Support Foundation (FAPERJ) through Grant E-26/210.378/2014.

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Werneck, L.F., de Freitas, M.M., de Souza, G. et al. An OpenMP parallel implementation using a coprocessor for numerical simulation of oil reservoirs. Comp. Appl. Math. 38, 33 (2019). https://doi.org/10.1007/s40314-019-0788-6

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  • DOI: https://doi.org/10.1007/s40314-019-0788-6

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