DiSTFAG method robust to gross errors in monitoring displacements and strains in unstable reference systems

• Autorzy: Kamiński W.

Warianty tytułu

PL

Odporna na błędy grube metoda DiSTFAG w monitoringu przemieszczeń i odkształceń w niestabilnych układach odniesienia

• Języki publikacji: EN

Abstrakty

EN

The DiSTFA method (Displacements and Strains using Transformation and Free Adjustment) was presented in Kaminski (2009). The method has been developed for the determination of displacements and strains of engineering objects in unstable reference systems, as well as for examining the stability of reference points. The DiSTFAG (Gross errors) method presented in the paper is the extension of the DiSTFA method making it robust to gross errors. Theoretical considerations have been supplemented with an example of a practical application on a simulated 3D surveying network.

PL

W niniejszej pracy zaproponowano uodpornienie metody DiSTFA (Displacements and Strains Rusing Transformation and Free Adjustment) na błędy grube. Metodę DiSTFA opracowano do wyznaczania przemieszczeń i odkształceń obiektów inżynierskich w niestabilnych układach odniesienia jak również badania stałości punktów dostosowania. Metoda DiSTFAG jest rozwinięciem metody DiSTFA uwzględniającym w rozwiązaniu obserwacje obarczone błędami grubymi. Teoretyczne rozważania uzupełniono przykładem praktycznego zastosowania na symulowanej, trójwymiarowej osnowie geodezyjnej.

Słowa kluczowe

EN

displacements; strains; unstable reference system; gross error; covariance matrices

PL

metoda DiSTFA; trójwymiarowa osnowa geodezyjna; monitoring przemieszczeń

• Wydawca: Komitet Geodezji PAN
• Czasopismo: Geodesy and Cartography
• Rocznik: 2011
• Tom: Vol. 60, no 1
• Strony: 21--33
• Opis fizyczny: Bibliogr. 19 poz., tab., wykr.

Twórcy

autor

Kamiński W.

• Institute of Geodesy, University of Warmia and Mazury in Olsztyn 1 Oczapowskiego St., 10-957 Olsztyn, Poland,

Bibliografia

• Brunner F.K., (1979): On the analysis of geodetic networks for the determination of the incremental strain tensor, Survey Review, Vol. XXV, No 192, pp. 56-67.
• Chen Y.Q., Chrzanowski A., Secrod J.M., (1990): A strategy for the analysis of the stability of reference points in deformation surveys, CISM Journal, Vol. 44, No 2, Summer, pp. 39-46.
• Czaja J., (1992): Engineering and industrial geodesy. Collection of examples and problems. Part II. 4th edition - supplemented (in Polish), Wydawnictwa AGH, Krakow.
• Chrzanowski A., Wilkins R., (2006): Accuracy evaluation of geodetic monitoring of deformations in large open pit mines, 3th IGS Symposium on Geodesy for Geotechnical and Structural Engineering and 12th FIG Symposium on Deformation Measurements, Baden, Austria, 22 - 24 May.
• Gokalp E., Tasci L., (2009): Deformation monitoring by GPS at embankment dams and deformation analysis, Survey Review, Vol. 41, No 311, pp. 86-102.
• Hampel F.R., Ronchetti E.M., Rousseeuw P.J., Stahel W.A., (1986): Robust statistics. An approach based on influence functions, John Wiley and Sons, New York.
• Kaminski W., (2008a): The Idea of Monitoring Surface Deformations on Unstable Ground with the Use of GPS Technology, Bolletino di Geodesiae Scienze Affini, No 1, pp. 33-45.
• Kaminski W., (2008b): The Conception of Monitoring the Superficial Deformation Located on the Unstable Foundation with the Usage of GPS Technology, 13th FIG International Symposium on Deformation Measurements and Analysis, 4th Symposium on Geodesy for Geotechnical and Structural Engineering, Lisbon, 12 - 15 May (CD).
• Kaminski W., (2009): Properties and analysis of the accuracy of estimation results obtained by the DiSTFA method in monitoring displacements and strains, Geodesy and Cartography, Vol. 58, No 2, pp. 37-50.
• Lazzarini T., Laudyn I., Chrzanowski A., Gazdzicki J., Janusz W., Wiłun Z., Mayzel B., Mikucki Z., (1977): Geodetic measurements of displacements of structures and their surroundings (in Polish), PPWK, Warsaw.
• Prószynski W., Kwasniak M., (2006): Bases for geodetic determination of displacements. Notions and methodology elements (in Polish), Oficyna Wydawnicza Politechniki Warszawskiej, Warszawa.
• Szostak-Chrzanowski A., Prószynski W., Gambin W., (2006): Continuum mechanics as a support for deformation monitoring, analysis, and interpretation, 3th IGS Symposium on Geodesy for Geotechnical and Structural Engineering and 12th FIG Symposium on Deformation Measurements. Baden, Austria, 22 - 24 May.
• Tukey J.W., (1960): A survey of sampling from contaminated distribution in: Contributions to Probability and Statistics, I. Olhin, Standford University Press, California.
• Vanicek P., Craymer M.R., Krakiwsky J.E., (2001): Robustness analysis of geodetic horizontal networks, Journal of Geodesy, No 75, pp. 199-209.
• Wisniewski Z., (1989): The idea of determination of parameters of location and shape of fundamental plates on the basis of free levelling (in Polish), Proceedings VI Scientific-Technical Session "Current scientific and technical problems of geodetic works", Gdansk -Sobieszewo, 6 - 7 October, pp. 147-173.
• Wu J.C., Chen Y.Q., (2002): Improvement of the separability of a survey scheme for monitoring crustal deformations in the area of an active fault, Journal of Geodesy, Vol. 76, pp. 77-81.
• Xu P., (1989): On Robust Estimation with correlated Observations, Bulletin Geodesique, Vol. 63, pp. 237-252.
• Yang Y., (1994): Robust Estimation for Dependent Observations, Manuscripta Geodaetica, Vol. 19, pp. 10-17.
• Yang Y., Song L.J., Xu T.H., (2002): Robust estimation of correlated observation based on bifactor equivalent weights, Journal of Geodesy, Vol. 76, pp. 353-358.