Abstract

Knowledge of the undisturbed stress state is a key parameter for borehole stability, productivity and induced seismicity hazard assessment. Due to the sparse and incomplete availability of data records, 3D geomechanical–numerical modelling is applied to estimate the stress state in a volume. To assess the quality of the model results, the model uncertainties have to be quantified. We present an approach that provides the uncertainties of the six independent stress tensor components at each location in the model volume by an average value and its standard deviation. We explore the uncertainties introduced to the model results with respect to the stress magnitude data used for model calibration. We test our approach on a model of the Bavarian Molasse Basin which includes the area around Munich with many geothermal projects. In the test area, we find large uncertainties in the modelled magnitude of the maximum horizontal stress (text{S}_text {Hmax}) in the order of 15–30%. The uncertainties in the magnitude of the minimum horizontal stress (text{S}_text {hmin}) are smaller between 5 and 20%. In connection with an adequate failure criterion, we compare our model results to the seismological observations at two neighbouring geothermal projects. Whilst Aschheim/Feldkirchen/Kirchheim remained seismically quiet, induced seismicity was recorded in Poing. Our modelled undisturbed stress state was confirmed by these observations by showing in average a stable stress state in Aschheim/Feldkirchen/Kirchheim and a critical stress state in Poing. If the uncertainties in terms of two standard deviations are considered, this does not change. This demonstrates the increase in model significance when uncertainties are available.

Highlights

  • Boreholes for geothermal reservoirs access the deep targets that are either permeable fluid-filled rock units or faults, or impermeable hot-dry-rock that need to be fractured before fluid circulation for heat extraction is possible

  • The presented work aims at the quantification of uncertainties in 3D geomechanical– numerical models for the initial stress state demonstrated on a high-resolution 3D model of the Bavarian Molasse Basin

  • We estimate the uncertainties in the modelled stress state due to variabilities in the stress magnitude data records used for calibration

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Summary

Introduction

Boreholes for geothermal reservoirs access the deep targets that are either permeable fluid-filled rock units or faults, or impermeable hot-dry-rock that need to be fractured before fluid circulation for heat extraction is possible. We use 13 data records on the magnitudes of the minimum and maximum horizontal stress Shmin and SHmax , respectively, from within the model volume. If more than one data record for the calibration of each Shmin or SHmax is available, boundary conditions that result in a model that fits the observations best are sought (Fig. 2c).

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