Title of article :
SIMULATION OF ELECTRICAL MONITORING OF DAMS WITH LEAKAGE WITH A TRANSVERSE PLACEMENT OF THE MEASURING INSTALLATION
Author/Authors :
Rakisheva, D.S. L.N. Gumilyov Eurasian National University, Nur-Sultan, Kazakhstan , Mukanova, B.G. Institute of Information and Computing Technologies of the Ministry of Education and Science of the Republic of Kazakhstan, Almaty, Kazakhstan , Modin, I.N. M.V. Lomonosov Moscow State University, Moscow, Russia
Abstract :
Numerical modeling of the problem of dam monitoring by the Electrical Resistivity
Tomography method is carried out. The mathematical model is based on integral equations
with a partial Fourier transform with respect to one spatial variable. It is assumed that the
measurement line is located across the dam longitude. To approximate the shape of the dam
surface, the Radial Basic Functions method is applied.
The influence of locations of the water-dam, dam-basement, basement-leakage boundaries
with respect to the sounding installation, which is partially placed under the headwater, is
studied. Numerical modeling is carried out for the following varied parameters: 1) water level
at the headwater; 2) the height of the leak; 3) the depth of the leak; 4) position of the supply
electrode; 5) water level and leaks positions are changing simultaneously. Modeling results are
presented in the form of apparent resistivity curves, as it is customary in geophysical practice.
Keywords :
Integral equation method , Fourier transform , RBF method , dams electrical monitoring , dam leakage , electrical tomography , resistivity method
Journal title :
Eurasian Journal of Mathematical and Computer Applications