Skip to main content

Advertisement

Log in

History matching and uncertainty quantification for velocity dependent relative permeability parameters in a gas condensate reservoir

  • Original Paper
  • Published:
Arabian Journal of Geosciences Aims and scope Submit manuscript

Abstract

In gas condensate reservoirs, gas flow at large velocities enhances the gas permeability due to gas-liquid positive coupling which results in near-miscible flow condition. On the other hand, augmented pressure drop due to non-Darcy flow, reduces the gas permeability. Models for the “Positive Coupling” or “non-Darcy flow” include several parameters, which are rarely known from reliable lab special core analysis. We offer a good alternative for tuning of these parameters in which the observed production history data are reproduced from the readjusted simulation model. In this study, history matching on observed production data was carried out using evolutionary optimization algorithms including genetic algorithms, neighborhood algorithm, differential evolution algorithm and particle swarm optimization algorithm, where a faster convergence and lower misfit value were obtained from a genetic algorithm. Then, the “Neighborhood Algorithm–Bayes” was used to perform Bayesian posterior inference on the history matched models and create the posterior cumulative probability distributions for all uncertain parameters. Finally, Bayesian credible intervals for production rate and wellhead pressure were computed in the long-range forecast. Our new approach enables to not only calibrate the gas effective permeability parameters to dynamic reservoir data, but allows to capture the uncertainty with parameter estimation and production forecast.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18

Similar content being viewed by others

Notes

  1. Condensate to Gas Ratio

References

  • Bush M, Carter J (1996) Application of A Modified Genetic Algorithm to Parameter Estimation in the Petroleum Industry. Intelligent Engineering Systems through Artificial Neural Networks (6), pp 397–402

  • Chen HL, Monger TG et al (1995) Determination of relative permeability and recovery for North Sea gas reservoir. SPE 30769

  • Christie M, Macbeth C, Subbey S (2002) Multiple history matched models for teal south, The Leading Edge, March, pp 286–289

    Article  Google Scholar 

  • Danesh A, Henderson GD, Peden JM (1991) Experimental investigation of critical condensate saturation and its dependence on interstitial water saturation in water-wet rocks, SPE-19695-PA

  • Eberhart RC, Kennedy J (1995) A new optimizer using particle swarm theory, Proceedings of the Sixth International Symposium on Micro Machine and Human Science, New York, NY, pp 39–43

  • ECLIPSE Simulation Software Manuals 2010.1 (2010) ECLIPSE Technical Description, Schlumberger

  • Erbas D (2007) Sampling Strategies for Uncertainty Quantification in Oil Recovery Prediction, PHD thesis, Heriot Watt University

  • Fernandez J, Echeverria D, Mukerji T (2009) Application of particle swarm optimization to reservoir modeling and inversion, IAMG09 conference, Stanford University, pp 23–28

  • Frooqnia A (2014) Numerical Simulation and Interpretation of Borehole Fluid-Production Measurements, Ph.D. Dissertation, The University of Texas at Austin, Austin, Texas

  • Frooqnia A, A-Pour R, Torres-Verdín C, Sepehrnoori K (2011) “Numerical simulation and interpretation of production logging measurements using a new coupled wellbore-reservoir model”, paper VV presented at SPWLA 52nd international logging symposium. Colorado Springs, Colorado, pp 14–18

    Google Scholar 

  • Frooqnia A, Pishvaie MR, Aminshahidy B (2014) Real-time optimization of a natural gas lift system with a differential evaluation method. Energy Sources Journal, Part A: Recovery, Utilization, and Environmental Effects, 36(3):309–322. https://doi.org/10.1080/15567036.2010.540631

    Article  Google Scholar 

  • Gelman A, Carlin JB, Stern HS, Rubin DB (1995) Bayesian data analysis, 1st edn. Chapman and Hall, London

    Book  Google Scholar 

  • Hajizadeh Y (2011) Population-Based Algorithms for Improved History Matching and Uncertainty Quantification of Petroleum Reservoirs, PHD thesis, Heriot Watt University

  • Ham, J.D. and Eilerts, C.K.(1967) Effect of saturation on mobility of low liquid-vapor ratio fluids, SPEJ 11–19.

  • Henderson GD, Danesh A et al (1998) Measurement and correlation of gas condensate relative permeability by the steady state method. SPE 30770

  • Holland J (1975) Adaptation in natural and artificial systems. MIT Press, Cambridge

    Google Scholar 

  • Kathrada M (2009) Uncertainty Evaluation of Reservoir Simulation Models Using Particle Swarm and Hierarchical Clustering, PhD Thesis, Institute of Petroleum Engineering, Heriot Watt University, Edinburgh, UK

  • Mohamed L, Christie M, Demyanov V (2009) Comparison of stochastic sampling algorithms for uncertainty quantification, SPE 119139, Reservoir Simulation Symposium, The Woodlands, Texas, USA, 2–4 February

  • Mott R, Cable A et al (2000a) Measurements and simulation of inertial and high capillary number flow phenomena in gas-condensate relative permeability. SPE 62932

  • Mott R, et al (2000b) Measurements of relative permeability for calculations gas condensate well deliverability, SPE–68050–PA

  • Nicotra G, Godi A, Cominelli A, Christie M (2005) Production data and uncertainty quantification: A real case study”, SPE 93280, reservoir simulation symposium, Houston, USA, 31 January-2 February

  • Oliver DS, Reynolds AC, Liu N (2008) Inverse theory for petroleum reservoir characterization and history matching, 1st edn. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Rotondi M, Nicotra G, Godi A, Contento F, Blunt M, Christie M (2006) Hydrocarbon production forecast and uncertainty quantification: A field application, SPE 102135, Annual Technical Meeting and Exhibition, San Antonio, USA, 24–27 September

  • Sambridge M (1999a) Geophysical inversion with a Neighbourhood algorithm, part 1: searching parameter space. Geophys J Int 138:479–494

    Article  Google Scholar 

  • Sambridge M (1999b) Geophysical inversion with a Neighbourhood algorithm - II appraising the ensemble. Geophys J Int 138:727–745

    Article  Google Scholar 

  • Storn R, Price K (1995) Differential evolution – A simple and efficient adaptive scheme for global optimization over continuous spaces, technical report for international computer science institute, Berkeley, TR-95-012

  • Valjak M [2008] History Matching and Forecasting with Uncertainty, Challenges and Proposed Solutions for Real Life Field Application, PhD Thesis, Institute of Petroleum Engineering, Heriot Watt University, United Kingdom

  • Watson AT et al (1986) A new algorithm for automatic history matching production data. SPE 15228

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mohammad Ahmadi.

Additional information

Editorial handling: Liang Xiao

Appendix

Appendix

Table 9 Observed Well Production History Data (Time: Days, WTHP: psia, WGPR: Mscf/Days)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dermanaki Farahani, Z., Ahmadi, M. & Sharifi, M. History matching and uncertainty quantification for velocity dependent relative permeability parameters in a gas condensate reservoir. Arab J Geosci 12, 454 (2019). https://doi.org/10.1007/s12517-019-4603-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12517-019-4603-x

Keywords

Navigation