Uncertainty Quantification of Pseudo-Adsorption Isotherm History Matching
- Oscar Vazquez (Heriot Watt University) | Vahid Azari (Heriot Watt University) | Ilya Fursov (Heriot Watt University) | Enohor Igben (Heriot Watt University) | Eric Mackay (Heriot Watt University)
- Document ID
- Society of Petroleum Engineers
- SPE International Oilfield Scale Conference and Exhibition, 24-25 June, Virtual
- Publication Date
- Document Type
- Conference Paper
- 2020. Society of Petroleum Engineers
- 4 Facilities Design, Construction and Operation, 4.1.2 Separation and Treating, 5.5.2 Core Analysis, 4.1 Processing Systems and Design, 4.3.4 Scale
- Uncertainty, Isotherm, Squeeze Treatment
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- 69 since 2007
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Scale Inhibitor Squeeze treatments are some of the most common techniques to prevent oilfield mineral scale deposition in oil producers. A squeeze treatment design's effectiveness and lifespan is determined by the scale inhibitor (SI) retention, which can be described using a pseudo-isotherm adsorption, commonly derived from coreflooding experiments, although in some certain circumstances a new isotherm will need to be re-derived to match the field return concentration profile, once the treatment is deployed and samples are collected to measure SI return concentration. This new isotherm is used to design the next treatment. The objective of this manuscript is to quantify the uncertainty, which depends of the number of samples analyzed. In any inverse problem, there might not be a unique solution, which is in our context a pseudo-isotherm matching the return concentration profile. As a consequence, there will be a certain level of uncertainty predicting the next squeeze treatment lifetime. Solving this inverse problem in Bayesian formulation, incorporating the prior information, and the likelihood involving the return concentration profile, it is possible to quantify the posterior distribution, and therefore calculate the uncertainty range, commonly known as P90/P50/P10, based on the Randomized Maximum Likelihood (RML) approach. The P90/P50/P10 was calculated as a function of the number of samples available, differentiating from the early production and late production.
The results suggest that there is a correlation between the P90/P50/P10 interval and the number of samples, i.e. the differences between the P10 and P90 in terms of the forecast squeeze lifetime was wider the smaller number of samples. The methodology proposed may be used to determine the number of samples required to reduce the level of uncertainty predicting the lifetime of the next squeeze treatment. Although taking more samples may increase the cost per barrel for a treatment, the ability to predict accurately treatment lifetime will be more cost effective in the long term, as production might not be affected.
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Jordan, M. (2009) ‘The Modelling, Application, and Monitoring of Scale Squeeze Treatments in Heterogeneous Reservoirs, North Sea’, Proceedings of SPE International Symposium on Oilfield Chemistry. 10.2118/121142-MS.
Mackay, E. J. et al. (2003) ‘Squeeze Modelling: Treatment Design and Case Histories’, 5Th Spe Europe. Formation Damage Conf. (the Hague, Netherlands, 5/13-14/2003) Proc., (200333). 10.2118/82227-MS.
Mannseth, T. (2015) ‘Comparison of five different ways to assimilate data for a simplistic weakly nonlinear parameter estimation problem’, Computational Geosciences, 19(4), pp. 791–804. 10.1007/s10596-015-9490-y.
Oliver, D. S.,Reynolds, A. C. and Liu, N. (2008) Inverse theory for petroleum reservoir characterization and history matching, Inverse Theory for Petroleum Reservoir Characterization and History Matching. 10.1017/CBO9780511535642.
Selle, O. M. et al. (2003) ‘A Way Beyond Scale Inhibitors - Extending Scale Inhibitor Squeeze Life Through Bridging’, in SPE International Symposium on Oilfield Scale. Available at: http://search.ebscohost.com/login.aspx?direct=true&db=pta&AN=809523&site=ehost-live.
Sorbie, K. S. and Gdanski, R. (2005) ‘A Complete Theory of Scale-Inhibitor Transport and Adsorption/Desorption in Squeeze Treatments’, in SPE International Symposium on Oilfield Scale. 10.2523/95088-MS.
Vazquez, O.,Fursov, I. and Mackay, E. J. (2016) ‘Automatic optimization of oilfield scale inhibitor squeeze treatment designs’, Journal of Petroleum Science and Engineering, 147, pp. 302–307. 10.1016/j.petrol.2016.06.025.
Vazquez, O. et al. (2013) ‘Automatic Isotherm Derivation From Field Data for Oilfield Scale-Inhibitor Squeeze Treatments’, SPE Journal, 18(03), pp. 563–574. 10.2118/154954-PA.