Tomographic Imaging of Thermally Induced Fractures in Granite Using Bayesian Inversion

Dębski, Wojciech; Young, R. P.

doi:10.1007/978-3-0348-8179-1_13

Cited by 2 publications

(1 citation statement)

References 51 publications

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“…Very often, instead of sampling of the a posteriori PDF only the global maximum of the r(s) is sought (e.g., DE¸BSKI and YOUNG, 2002) and claimed to be the solution of the Bayesian inversion. It is obviously a correct procedure, but it reduces the full Bayesian inversion to the optimization method, disregarding the potential ability of the Bayesian method to deal with error analysis.…”

Section: Bayesian Inversionmentioning

confidence: 99%

Seismic Tomography by Monte Carlo Sampling

Dębski

2009

Pure Appl. Geophys.

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The paper discusses the performance and robustness of the Bayesian (probabilistic) approach to seismic tomography enhanced by the numerical Monte Carlo sampling technique. The approach is compared with two other popular techniques, namely the damped least-squares (LSQR) method and the general optimization approach. The theoretical considerations are illustrated by an analysis of seismic data from the Rudna (Poland) copper mine. Contrary to the LSQR and optimization techniques the Bayesian approach allows for construction of not only the ''best-fitting'' model of the sought velocity distribution but also other estimators, for example the average model which is often expected to be a more robust estimator than the maximum likelihood solution. We demonstrate that using the Markov Chain Monte Carlo sampling technique within the Bayesian approach opens up the possibility of analyzing tomography imaging uncertainties with minimal additional computational effort compared to the robust optimization approach. On the basis of the considered example it is concluded that the Monte Carlo based Bayesian approach offers new possibilities of robust and reliable tomography imaging.

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Section: Bayesian Inversionmentioning

confidence: 99%

Seismic Tomography by Monte Carlo Sampling

Dębski

2009

Pure Appl. Geophys.

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Seismic activity reduction with the use of blasting and passive seismic tomography control, a case study from copper ore mine, Poland

Gogolewska

Smolak

2021

Acta Geophys.

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Deep copper ore mines in Poland have been struggling with seismic hazard since almost fifty years ago when the first rock burst occurred. Increasing exploitation depth and mined-out space make the mining conditions constrained and severe causing the seismic activity to grow substantially. Consequently, rock burst preventive activities have to be incorporated into mining technology to provide work safety. To date, the group winning blasting has posed the most commonly used preventive measure, so its efficiency in seismic energy reduction is of significant importance for the rock burst hazard mitigation. The more energy blasting works provoke to release the safer the work environment gets. The article aimed to assess the efficiency of such an energy reduction, which was approached in two ways. Firstly, the drop of energy and in turn its reduction efficiency was assessed simply using a percentage of provoked tremors’ energy and number. Next, the analysis employed passive seismic tomography results to find if provoked tremors took place in high-velocity zones. The analysis made it possible to verify the assumption that the more provoked energy occurs in such zones the more successful preventive blasting is.

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Tomographic Imaging of Thermally Induced Fractures in Granite Using Bayesian Inversion

Cited by 2 publications

References 51 publications

Seismic Tomography by Monte Carlo Sampling

Seismic Tomography by Monte Carlo Sampling

Seismic activity reduction with the use of blasting and passive seismic tomography control, a case study from copper ore mine, Poland

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