Determination of vertical and horizontal soil displacements in automated measuring systems on the basis of angular measurements

Łukasz Bednarski


The increasing interest in monitoring systems for soil displacements, prompted the authors to search for calculation methods which would allow the construction of monitoring devices without the need to place sensors in inclinometric tubes. The application of the spline interpolation method and the local approximation method by means of weighted moving squares allowed for the creation of curves which describe the soil deformation with the required accuracy. The basic equations of this calculation method and numerical examples are presented in the paper.

Słowa kluczowe: soil deformation measurements, inclinometers, spline interpolation

kutnik Z., Borowczyk M., Krysiak S., Long term pore water pressure measurements for effective stress evaluation in Warsaw clays, Proc. of the 13th Danube-E uropean Conference on Geotechnical Engineering, Ljubljana 2006, 113–118.

Hu J., Li Z.W., Sun Q., Zhu J.-J., Three-Dimensional Surface Displacements From InSAR and GPS Measurements With Variance Component Estimation, Geoscience and Remote Sensing Letters, IEEE , Vol. 9, Issue 4, 2012, 754–758.

Mikkelsen P.E., Advances in inklinometer data analysis, Symposium of Field Measurements in Geomechanics, FM GM, Oslo, Norway 2003.

Cichoń Cz. et. al., Metody komputerowe w liniowej mechanice konstrukcji, wybrane zagadnienia, Wydawnictwo PK, Kraków 2009.

Lancaster P., Salkauskas K., Curve and Surface Fitting, Academic Press, 1986. Press W.H., Teukolsky S.A., Vetterling W.T., Flannery B.P., Numerical Recipes, Cambridge University Press, 2007.