Abstract

Geothermal energy plays an important role in the energy transition by providing a renewable energy source with a low CO2 footprint. For this reason, this paper uses state-of-the-art simulations for geothermal applications, enabling predictions for a responsible usage of this earth’s resource. Especially in complex simulations, it is still common practice to provide a single deterministic outcome although it is widely recognized that the characterization of the subsurface is associated with partly high uncertainties. Therefore, often a probabilistic approach would be preferable, as a way to quantify and communicate uncertainties, but is infeasible due to long simulation times. We present here a method to generate full state predictions based on a reduced basis method that significantly reduces simulation time, thus enabling studies that require a large number of simulations, such as probabilistic simulations and inverse approaches. We implemented this approach in an existing simulation framework and showcase the application in a geothermal study, where we generate 2D and 3D predictive uncertainty maps. These maps allow a detailed model insight, identifying regions with both high temperatures and low uncertainties. Due to the flexible implementation, the methods are transferable to other geophysical simulations, where both the state and the uncertainty are important.

Highlights

  • We are interested in the entire temperature distribution at a particular target depth and at preserving the physics to compensate for data sparsity

  • We investigated the construction of surrogate models for a geoscientific context using the reduced basis method (RB) ­method[25]

  • We demonstrated the benefits of the RB method for basin-scale global sensitivity analysis and deterministic model ­calibrations[26]

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Summary

Introduction

Geothermal energy plays an important role in the energy transition by providing a renewable energy source with a low ­CO2 footprint. We present here a method to generate full state predictions based on a reduced basis method that significantly reduces simulation time, enabling studies that require a large number of simulations, such as probabilistic simulations and inverse approaches. We implemented this approach in an existing simulation framework and showcase the application in a geothermal study, where we generate 2D and 3D predictive uncertainty maps. A common way to address this is to replace the finite element model by a surrogate model such as K­ riging[8,9], or polynomial chaos e­ xpansions[10] The issue with these surrogate models is that they are based on observations and do not preserve the physics. These papers focus on the methodology, and the presented case studies do not capture the typical geometrical complexity of geothermal basin-scale applications

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