THE STUDY OF THE INFLUENCE OF BOUNDARY CONDITIONS AND HETEROGENEITY IN THE PERFORMANCE OF THE NUMERICAL UPSCALING METHOD FOR ABSOLUTE PERMEABILITY

Autores

  • Lindaura Maria Steffens UDESC
  • Rogrio Tadeu Santana Junior UDESC
  • Carolina Mendes Isidoro UDESC

DOI:

https://doi.org/10.26512/ripe.v2i21.21696

Palavras-chave:

Upscaling techniques. Absolute Permeability. Single-Phase Flow. Reservoir Simulation. Finite-Difference Method.

Resumo

In a previous worka numerical upscaling technique for absolute permeability was developed. This method is a non-local technique that uses a cell layer around the upscaling zone to reduce boundary conditions influence. Upscaling zone is the set of cells of interest for upscaling, and the cell layers (or rings) are the adjascent cells in the fine grid. The following is an extension of the method and it studies the use of more than one ring around the upscaling zone and the effect of high heterogeneity areas in upscaling. Intuition says that a greater number of rings should improve the results, since it leads to reducing boundary conditions effect. However, the use of more layers implies in a higher complexity in the upscaling algorithm. In current study, the use of 1 and 2 rings to upscale a permeability grid was considered. Computational time and percentual error were compared for performance analysis. In addition, the method was compared to the harmonic and arithmetic average techniques. Flow simulations were performed usingfinite-differencemethod and incompressible single-phase flow based. The method was applied to SPE’s dataset 1 and some permeability fields generated by numerical probability distribution.

Downloads

Não há dados estatísticos.

Referências

Chen, Z., 2007. Reservoir Simulation: Mathematical Techniques in Oil Recovery, Society for

Industrial and Applied Mathematics, Conference Series in Applied Mathematics.

Failla, A., 2015. A Numerical Upscaling Technique for Absolute Permeability and Single-Phase

Flow Based on the Finite-Difference Method, PhD Thesis, Politecnico di Milano

Christie, M. A., 1996. Upscaling for Reservoir Simulation. SPE, BP Exploration.

Fitts, C. R., 2002. Laminar and Turbulent Flow, Groundwater Science, London, Academic

press., Elsevier Science LTD, pp. 46-49.

Odster, L. V., 2013. Numerical Aspects of Flow Based Local Upscaling. Norwegian University

of Science and Technology, Trondheim.

Renard, P., Marsily, G., 2000. Calculating equivalent permeability: A Review, Water Resour.

Res., vol. 20, pp. 261-262.

Society of Petroleum Engineers- SPE Comparative Solution Project. http://www.spe.org/csp,

, also https://www.onepetro.org/journal-paper/SPE-72469-PA.

Wen, X.H., Gmez-Hernndez, J.J., 1996. Upscaling hydraulic conductivities in heterogeneous

media: An overview, Journal Hydrology, vol. 183, n 1-2, pp.ix-xxxii.

White, C. D., Horne, R. N., 1987. Compting Absolute Transmissibility in the Presence of

Fine-Scale Heterogeneity, Society of Petroleum Engineering Journal, Ninth SPE Symposium

on Reservoir Simulation, Society of Petroleum Engineers, pp. 209-220.

CILAMCE

Downloads

Publicado

2017-02-08

Como Citar

Steffens, L. M., Santana Junior, R. T., & Isidoro, C. M. (2017). THE STUDY OF THE INFLUENCE OF BOUNDARY CONDITIONS AND HETEROGENEITY IN THE PERFORMANCE OF THE NUMERICAL UPSCALING METHOD FOR ABSOLUTE PERMEABILITY. Revista Interdisciplinar De Pesquisa Em Engenharia, 2(21), 20–36. https://doi.org/10.26512/ripe.v2i21.21696