@ARTICLE{Mrocheń_Dawid_Identification_2025,
 author={Mrocheń, Dawid and Sroka, Anton},
 volume={vol. 41},
 number={No 2},
 journal={Gospodarka Surowcami Mineralnymi - Mineral Resources Management},
 pages={161–175},
 howpublished={online},
 year={2025},
 publisher={Komitet Zrównoważonej Gospodarki Surowcami Mineralnymi PAN},
 publisher={Instytut Gospodarki Surowcami Mineralnymi i Energią PAN},
 abstract={The article presents an innovative method for parameter identification of the Knothe integral- -geometric model, which is based on analyzing subsidence differences for pairs of points. This method leverages observations from monitoring the displacements of buildings and engineering structures in areas affected by mining activities. By utilizing relative observations, i.e., differences in subsidence between point pairs for individual structures, elevation benchmarks are not needed during measurements. A key assumption of the methodology is the use of the asymptotic subsidence state, corresponding to the final stage of subsidence trough formation. Model parameters are iteratively determined by solving the inverse problem using the Gauss-Markov algorithm. This approach minimizes the sum of squared differences between the measured and calculated subsidence differences, enabling precise parameter fitting to the observed data. The implementation of a computation stop criterion concludes the iterative process of parameter identification. This criterion is based on achieving convergence in the form of a defined change in the estimated parameter values of the model between iterations, ensuring the efficiency and stability of the computations. The practical applicability of the method was validated using simulation data, confirming its capability to reconstruct the entire displacement field. The results enable not only the assessment of risk for unmonitored structures but also the prediction of future impacts of planned mining operations on the surface of the studied region.},
 type={Article},
 title={Identification of Knothe’s subsidence model parameters based on final subsidence values of individual pairs of points},
 URL={http://ochroma.man.poznan.pl/Content/135593/161%E2%80%93175_Mrochen-Sroka.pdf},
 doi={10.24425/gsm.2025.154548},
 keywords={subsidence differences, Gauss-Markov algorithm, Knothe model, parameterization},
}