Asymptotically optimal algorithm for the search and evaluation of Schlichter's mode for long-term deformation data

The Schlichter mode (1S1) is the longest period of the Earth's own oscillations. The period of this mode depends on the difference in density between the outer liquid and internal hard core, which makes its detection very important for the refinement of Earth models. Despite numerous attempts to detect the mode using a network of superconducting gravimeters, at the moment there is no confirmed experimental data on the observation of the Schlichter mode, which is due to its insignificant amplitude on the surface. In the paper, it is proposed to use the data of the laser interferometer-deformograph of the Baksan station of the SAI MSU (Northern Caucasus) with a measuring arm length of 75 m for the detection of the Schlichter mode. To this end, an asymptotically optimal algorithm was developed for analyzing data with their statistical properties, simulation on artificial data processing to estimate the magnitude of the possible observed effect and detection rates.