The electrical impedance tomography is a widely investigated problem with many applications in physical and biological sciences. A new nondestructive method of the flood embankment dampness was tested. The basic information about the built measuring system, including the prototype equipment is given. The setup was used to determine the dampness of the test flood blank on a specially built model. The forward problem solution (in the electrical impedance tomography) is solved by the determining potential distribution inside the region under given boundary conditions. The full information about region is considered, This problem is solved by Laplace's equation. The level set methods with the Chan-Vese model were applied in the inverse problem for the image reconstruction.