1887

Abstract

Summary

1. We developed a general analytic solution for bounded transient flow based upon an asymptotic pressure approximation which reduces to Fetkovich’s work on bounded radial flow and Wattenbarger’s work on bounded linear flow in those specific geometries. The methodology offers similar abilities for analysis without the restriction to specific flow regimes.

2. We illustrate how to use the asymptotic solution for EUR estimation. Our approach works for infinite acting transient flow and through the transition to boundary dominated flow. It is validated by synthetic models and conventional simulation.

3. We illustrated the improved methods for both drainage volume calculation as well as w(τ) inversion which shows more detailed features. The drainage volume calculation is no longer based on global curve fitting. The proposed approach improves numerical inversion for w(τ).

4. We improved quantitative interpretation from production data. The interpretation of matrix permeability is based on fracture cluster interference seen in the w(τ) high resolution diagnostic plot and is validated by buildup analysis. EUR is also predicted.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201802244
2018-09-03
2024-04-26
Loading full text...

Full text loading...

References

  1. Arps, J.J.
    [1945] Analysis of Decline Curves. Transactions of the AIME160 (1). DOI: 10.2118/945228‑G
    https://doi.org/10.2118/945228-G [Google Scholar]
  2. Bear, J.
    [1972] Dynamics of Fluids in Porous Media. Mineola, NY: Dover.
    [Google Scholar]
  3. Datta-Gupta, A. and King, M.J.
    [2007] Streamline Simulation: Theory and Practice. Richardson, Texas: Society of Petroleum Engineers.
    [Google Scholar]
  4. Fetkovich, M.J.
    [1980] Decline Curve Analysis Using Type Curves. DOI: 10.2118/4629‑PA
    https://doi.org/10.2118/4629-PA [Google Scholar]
  5. Friedman, J.H.
    [1984] A Variable Span Smoother. Laboratory for Computational Statistics.
    [Google Scholar]
  6. Green, P.J. and Silverman, B.W.
    [1994] Nonparametric Regression and Generalized Linear Models A Roughness Penalty Approach. Boca Raton, Florida: Chapman and Hall/CRC.
    [Google Scholar]
  7. Holditch, S.A.
    [2013] Unconventional oil and gas resource development-Let’s do it right. Journal of Unconventional Oil and Gas Resources1–2: 2–8. DOI: doi.org/10.1016/j.juogr.2013.05.001
    https://doi.org/doi.org/10.1016/j.juogr.2013.05.001 [Google Scholar]
  8. Jensen, J.L., Lake, L.W., Corbett, P.W.M. et al.
    [1997] Statistics for Petroleum Engineers and Geoscientists. Upper Saddle River, New Jersey: Prentice Hall PTR.
    [Google Scholar]
  9. King, M.J., Wang, Z., and Datta-Gupta, A.
    [2016] Asymptotic Solutions of the Diffusivity Equation and Their Applications. Society of Petroleum Engineers. DOI 10.2118/180149‑MS.
    https://doi.org/10.2118/180149-MS [Google Scholar]
  10. Kuchuk, F.J.
    [2009] Radius of Investigation for Reserve Estimation From Pressure Transient Well Tests. Society of Petroleum Engineers. DOI 10.2118/120515‑MS.
    https://doi.org/10.2118/120515-MS [Google Scholar]
  11. Kulkarni, K.N., Datta-Gupta, A., and Vasco, D.W.
    [2001] A Streamline Approach for Integrating Transient Pressure Data Into High-Resolution Reservoir Models. DOI: 10.2118/74135‑PA
    https://doi.org/10.2118/74135-PA [Google Scholar]
  12. Lee, J., Rollins, J.N., and Spivey, J.P.
    [2003] Pressure Transient Testing. Richardson, TX: Society of Petroleum Engineers.
    [Google Scholar]
  13. Matthews, C.S., Brons, F., and Hazebroek, P.
    [1954] A Method for Determination of Average Pressure in a Bounded Reservoir. Petroleum Transactions201: 191–.
    [Google Scholar]
  14. Ramsay, J.O., Hooker, G., and Graves, S.
    [2009] Functional Data Analysis with R and MATLAB. New York: Springer Science+Business Media, LLC.
    [Google Scholar]
  15. Sethian, J.
    [1999] Fast Marching Methods. SIAM Review:199–235.
    [Google Scholar]
  16. Song, B. and Ehlig-Economides, C.A.
    [2011] Rate-Normalized Pressure Analysis for Determination of Shale Gas Well Performance. North American Unconventional Gas Conference and Exhibition. Society of Petroleum Engineers. DOI doi:10.2118/144031‑MS.
    https://doi.org/10.2118/144031-MS [Google Scholar]
  17. [2011] Rate-Normalized Pressure Analysis for Determination of Shale Gas Well Performance. Society of Petroleum Engineers. DOI 10.2118/144031‑MS.
    https://doi.org/10.2118/144031-MS [Google Scholar]
  18. Vasco, D.W., Keers, H., and Karasaki, K.
    [2000] Estimation of Reservoir Properties Using Transient Pressure Data An Asymptotic Approach. Water Resources Research:3447–3465. DOI: 10.1029/2000WR900179
    https://doi.org/10.1029/2000WR900179 [Google Scholar]
  19. Virieux, J., Flores-Luna, C., and Gibert, D.
    [1994] Asymptotic Theory for Diffusive Electromagnetic Imaging. Geophysics J. Int.: 857–868.
    [Google Scholar]
  20. Wang, Z., Li, C., and King, M.J.
    [2017] Validation and Extension of Asymptotic Solutions of Diffusivity Equation and Their Applications to Synthetic Cases. SPE Reservoir Simulation Conference, Montgomery, Texas, USA, 20–22 February 2017. Society of Petroleum Engineers. DOI 10.2118/182716‑MS.
    https://doi.org/10.2118/182716-MS [Google Scholar]
  21. Wattenbarger, R.A., El-Banbi, A.H., Villegas, M.E. et al.
    [1998] Production Analysis of Linear Flow Into Fractured Tight Gas Wells. SPE Rocky Mountain Regional/Low-Permeability Reservoirs Symposium, Denver, Colorado. Society of Petroleum Engineers. DOI 10.2118/39931‑MS.
    https://doi.org/10.2118/39931-MS [Google Scholar]
  22. Xue, X., Yang, C., Sharma, V.K. et al.
    [2016] Reservoir and Fracture Flow Characterization Using a Novel W(τ) Formulation. SPE/AAPG/SEG Unconventional Resources Technology Conference, San Antonio, Texas, USA. Unconventional Resources Technology Conference. DOI 10.15530/URTEC‑2016‑2440083.
    https://doi.org/10.15530/URTEC-2016-2440083 [Google Scholar]
  23. Yang, C., Sharma, V.K., Datta-Gupta, A. et al.
    [2015] A Novel Approach for Production Transient Analysis of Shale Gas/Oil Reservoirs. Unconventional Resources Technology Conference. DOI 10.15530/URTEC‑2015‑2176280.
    https://doi.org/10.15530/URTEC-2015-2176280 [Google Scholar]
  24. Zhang, Y., Yang, C., King, M.J. et al.
    [2013] Fast-Marching Methods for Complex Grids and Anisotropic Permeabilities: Application to Unconventional Reservoirs. Society of Petroleum Engineers. DOI 10.2118/163637‑MS.
    https://doi.org/10.2118/163637-MS [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201802244
Loading
/content/papers/10.3997/2214-4609.201802244
Loading

Data & Media loading...

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error