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

Journal Article · · Applied Energy
 [1];  [2];  [2];  [2];  [2];  [2];  [2]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Sultan Qaboos Univ., Muscat (Oman). Water Research Center
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

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. Furthermore, 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.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Renewable Power Office. Geothermal Technologies Office
Grant/Contract Number:
AC52-07NA27344; EE24675
OSTI ID:
1809162
Alternate ID(s):
OSTI ID: 1556263
Report Number(s):
LLNL-JRNL-646027; 765970
Journal Information:
Applied Energy, Vol. 136; ISSN 0306-2619
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 11 works
Citation information provided by
Web of Science

References (22)

Theorems and examples on high dimensional model representation journal February 2003
Comparative studies of metamodelling techniques under multiple modelling criteria journal December 2001
Assessing a Response Surface-Based Optimization Approach for Soil Vapor Extraction System Design journal May 2009
Inverse problem in hydrogeology journal February 2005
Computer Aided Reliability and Robustness Assessment journal June 1998
Uncertainty assessment and data worth in groundwater flow and mass transport modeling using a blocking Markov chain Monte Carlo method journal January 2009
Stochastic sampling design using a multi-objective genetic algorithm and adaptive neural networks journal April 2009
State of the Art of the Inverse Problem Applied to the Flow and Solute Transport Equations book January 1988
Review of surrogate modeling in water resources: REVIEW journal July 2012
A Stochastic Radial Basis Function Method for the Global Optimization of Expensive Functions journal November 2007
Calibration-constrained Monte Carlo analysis of highly parameterized models using subspace techniques: CALIBRATION-CONSTRAINED SSMC ANALYSIS journal January 2009
Bayesian calibration of a large-scale geothermal reservoir model by a new adaptive delayed acceptance Metropolis Hastings algorithm: ADAPTIVE DELAYED ACCEPTANCE METROPOLIS-HASTINGS ALGORITHM journal October 2011
Kernel ridge regression with active learning for wind speed prediction journal March 2013
Kriging Models for Global Approximation in Simulation-Based Multidisciplinary Design Optimization journal December 2001
Bayesian methods in hydrologic modeling: A study of recent advancements in Markov chain Monte Carlo techniques: BAYESIAN METHODS IN HYDROLOGIC MODELING journal October 2008
Multi-source information fusion based fault diagnosis of ground-source heat pump using Bayesian network journal February 2014
The Multiple-Try Method and Local Optimization in Metropolis Sampling journal March 2000
Approximating SWAT Model Using Artificial Neural Network and Support Vector Machine journal April 2009
A sparse grid based Bayesian method for contaminant source identification journal March 2012
Surrogate-based optimization of hydraulic fracturing in pre-existing fracture networks journal August 2013
Bayesian inverse problem and optimization with iterative spatial resampling: ITERATIVE SPATIAL RESAMPLING journal November 2010
Cross-Validation of Regression Models journal September 1984