Skip to main content

Different Partitioning Algorithms Study Applied to a Problem of Digital Rock Physics

  • Conference paper
  • First Online:
Supercomputing (RuSCDays 2020)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1331))

Included in the following conference series:

  • 641 Accesses

Abstract

In recent years digital rock physics technology is regarded as a promising tool which can supplement traditional laboratory techniques. This technology is based on numerical experiment with direct resolution of pore space of a rock sample, which is obtained with computed microtomography. Necessity of high resolution leads to a high dimension of discrete settings (106–109 numerical cells). The work is devoted to an application of different partitioning algorithms to the problem of flow simulation within geometry of rock sample pore space. Simulation of a single-phase fluid flow within pore space of a sandstone sample with voxel representation is used to compare the partitions obtained by various methods using parallel partitioning tools ParMETIS, Zoltan, and GridSpiderPar. Average time spent on interprocess exchange during 200 time steps of the considered parallel simulation was compared when the grid was distributed over the cores in accordance with various partitions. The obtained results demonstrate advantages of some algorithms and reveal the criteria, important for the problem.

The study is conducted with support from The Ministry of Education and Science of Russian Federation, unique identifier of the Project is RFMEFI60419X0209.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Blunt, M.J.: Multiphase Flow in Permeable Media: A Pore-Scale Perspective. Cambridge University Press, Cambridge (2017)

    Book  Google Scholar 

  2. Berg, C.F., Lopez, O., Berland, H.: Industrial applications of digital rock technology. J. Petrol. Sci. Eng. 157, 131–147 (2017)

    Article  Google Scholar 

  3. Dvorkin, J., Derzhi, N., Diaz, E., Fang, Q.: Relevance of computational rock physics. Geophysics 76(5), E141–E153 (2011)

    Article  Google Scholar 

  4. Imperial College London. http://www.imperial.ac.uk/earth-science/research/research-groups/perm/research/pore-scale-modelling/micro-ct-images-and-networks/

  5. Karypis,G., Kumar, V.: A coarse-grain parallel formulation of multilevel k-way graph partitioning algorithm. In: Proceedings of the 8th SIAM Conference on Parallel Processing for Scientific Computing (1997)

    Google Scholar 

  6. Schloegel, K., Karypis, G., Kumar, V.: Parallel multilevel algorithms for multi-constraint graph partitioning. In: Bode, A., Ludwig, T., Karl, W., Wismüller, R. (eds.) Euro-Par 2000. LNCS, vol. 1900, pp. 296–310. Springer, Heidelberg (2000). https://doi.org/10.1007/3-540-44520-X_39

    Chapter  Google Scholar 

  7. Golovchenko, E.N., Kornilina, M.A., Yakobovskiy, M.V.: Algorithms in the parallel partitioning tool GridSpiderPar for large mesh decomposition. In: Proceedings of the 3rd International Conference on Exascale Applications and Software (EASC 2015), pp. 120–125, University of Edinburgh (2015)

    Google Scholar 

  8. Boman, E., et al.: Zoltan: Parallel Partitioning, Load Balancing and Data-Management Services. Developer’s Guide, Version 3.3 Sandia National Laboratories, 2000–2010. http://www.cs.sandia.gov/Zoltan/dev_html/dev.html

  9. Karypis, G., Kumar, V.: Parallel multilevel k-way partitioning scheme for irregular graphs. SIAM Rev. 41(2), 278–300 (1999)

    Article  MathSciNet  Google Scholar 

  10. Sheretov, Y.: Continuum Dynamics Under Spatiotemporal Averaging. RKhD, Moscow-Izhevsk (2009). [in Russian]

    Google Scholar 

  11. Chetverushkin, B.N.: Kinetic Schemes and Quasi-Gasdynamic System of Equations. CIMNE, Barcelona (2008)

    Google Scholar 

  12. Elizarova, T.G.: Quasi-Gas Dynamic Equations. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-642-00292-2

    Book  MATH  Google Scholar 

  13. Balashov, V.A., Savenkov, E.B.: Direct pore-scale flow simulation using quasi-hydrodynamic equations. Dokl. Phys. 61(4), 192–194 (2016)

    Article  Google Scholar 

  14. Balashov, V.A.: Direct numerical simulation of moderately rarefied gas flow within core samples. Matem. Mod. 30(9), 3–16 (2018)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Evdokia Golovchenko .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Golovchenko, E., Yakobovskiy, M., Balashov, V., Savenkov, E. (2020). Different Partitioning Algorithms Study Applied to a Problem of Digital Rock Physics. In: Voevodin, V., Sobolev, S. (eds) Supercomputing. RuSCDays 2020. Communications in Computer and Information Science, vol 1331. Springer, Cham. https://doi.org/10.1007/978-3-030-64616-5_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-64616-5_2

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-64615-8

  • Online ISBN: 978-3-030-64616-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics