Average course approximation of measured subsidence and inclinations of mining area by smooth splines

• Autorzy: Orwat J. , Mielimąka R.

Identyfikatory

DOI

10.1016/j.jsm.2017.06.001

• Języki publikacji: EN

Abstrakty

EN

The results of marking average courses of subsidence measured on the points of measuring line no. 1 of the “Budryk” Hard Coal Mine, set approximately perpendicularly to a face run of four consecutively mined longwalls in coal bed 338/2 have been presented in the article. Smooth splines were used to approximate the average course of measured subsidence after subsequent exploitation stages. The minimising of the sum of the squared differences between the average and forecasted subsidence, using J. Bialek's formula, was used as a selection criterion of parameter values of smoothing an approximating function. The parameter values of this formula have been chosen in order to match forecasted subsidence with measured ones. The average values of inclinations have been calculated on the basis of approximated values of observed subsidence. It has been shown that by doing this the average values of extreme measured inclinations can be obtained in almost the same way as extreme observed inclinations. It is not necessary to divide the whole profile of a subsidence basin into parts. The obtained values of variability coefficients of a random scattering for subsidence and inclinations are smaller than their values which occur in the literature.

Słowa kluczowe

EN

impact of underground mining; subsidence; inclination; random scattering; least square approximation; smooth spline

PL

wpływ górnictwa podziemnego; osiadanie; nachylenie

• Wydawca: Elsevier ; Główny Instytut Górnictwa
• Czasopismo: Journal of Sustainable Mining
• Rocznik: 2017
• Tom: Vol. 16, iss. 1
• Strony: 8--13
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Orwat J.

• Faculty of Mining and Geology, Silesian University of Technology, Akademicka 2 Street, 44-100 Gliwice, Poland

autor

Mielimąka R.

• Faculty of Mining and Geology, Silesian University of Technology, Akademicka 2 Street, 44-100 Gliwice, Poland

Bibliografia

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• 2. Białek, J. (2003). Algorytmy i programy komputerowe do prognozowania deformacji terenu górniczego [Algorithms and computer programs to predict the deformation of the mining area]. Gliwice: Wydawnictwo Politechniki Śląskiej.
• 3. Białek, J., & Mielimąka, R. (2001). Próba weryfikacji parametrów teorii prognozowania wpływów eksploatacji na teren górniczy [Attempt to verify the parameters of the prediction theory involving the influence of mining on mining area]. Zeszyty Naukowe. Górnictwo/Politechnika Śląska, 250, 69-79.
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• 6. Lis, A. (2011). Uogólnione modele addytywne z parametrem położenia, skali i kształtu [Generalized additive models for location, scale and shape (GAMLSS)]. Praca magisterska [Master Thesis]. Warszawa: Uniwersytet Warszawski. Retrieved 5 September 2016 from http://www.biecek.pl/PASIK/uploads/AnnaLis.pdf.
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• 8. Mielimąka, R., & Orwat, J. (2016). Approximation of average course of measured curvatures of mining area with reference to their forecast values by Knothe's formulas. Paper presented at the 14th International Conference of Numerical Analysis and Applied Mathematics, 19-25 September 2016, Rhodes, Greece.
• 9. Orwat, J. (2016a). The forecast effectiveness of mining exploitation effects on the exploited area conducted with the use of Bialek's formulas. In T. Simons, & C. Tsitouras (Eds.), International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM2015, 23-29 September 2015 (pp. 080013-1-080013-4). Melville, NY: American Institute of Physic.
• 10. Orwat, J. (2016b). Approximation of average course of measured subsidence of mining area by smooth splines. Paper presented at the 14th International Conference of Numerical Analysis and Applied Mathematics, 19-25 September 2016, Rhodes, Greece.
• 11. Orwat, J., & Mielimąka, R. (2016a). The comparison of measured deformation indicators of mining area with theoretical values calculated using Knothe's formulas. In T. Simons, & C. Tsitouras (Eds.), International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015, 23-29 September 2015 (pp. 080014-1-080014-4). Melville, NY: American Institute of Physic.
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