4.8 Article

An efficient Bayesian inversion of a geothermal prospect using a multivariate adaptive regression spline method

Journal

APPLIED ENERGY
Volume 136, Issue -, Pages 619-627

Publisher

ELSEVIER SCI LTD
DOI: 10.1016/j.apenergy.2014.09.063

Keywords

Geothermal prospect; Inversion; Surrogate; Uncertainty; Sensitivity

Funding

  1. U.S. Department of Energy [DE-AC52-07NA27344]
  2. DOE GTO office [DE-EE24675]

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In this study, an efficient Bayesian framework equipped with a multivariate adaptive regression spline (MARS) technique is developed to alleviate computational burdens encountered in a conventional Bayesian inversion of a geothermal prospect. Fast MARS models are developed from training dataset generated by CPU-intensive hydrothermal models and used as surrogate of high-fidelity physical models in Markov Chain Monte Carlo (MCMC) sampling. This Bayesian inference with MARS-enabled MCMC method is used to reduce prior estimates of uncertainty in structural or characteristic hydrothermal flow parameters of the model to posterior distributions. A geothermal prospect near Superstition Mountain in Imperial County of California in USA is used to illustrate the proposed framework and demonstrate the computational efficiency of MARS-based Bayesian inversion. The developed MARS models are also used to efficiently drive calculation of Sobol' total sensitivity indices. Only top sensitive parameters are included in Bayesian inference to further improve the computational efficiency of inversion. Sensitivity analysis also confirms that water circulation through high permeable structures, rather than heat conduction through impermeable granite, is the primary heat transfer method. The presented framework is demonstrated an efficient tool to update knowledge of geothermal prospects by inversing field data. Although only thermal data is used in this study, other type of data, such as flow and transport observations, can be jointly used in this method for underground hydrocarbon reservoirs. (C) 2014 Elsevier Ltd. All rights reserved.

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