DVFU: A mathematical model for refining of coordinates of underwater objects

2020: Development of a mathematical model for refining of coordinates of underwater objects

Scientists of Engineering school of Far Eastern Federal University (DVFU, Vladivostok) in cooperation with colleagues from the Harbin engineering university (China) developed numerical methods and the software for elimination of errors in the systems of hydroacoustic communication that will allow to determine more precisely spatial coordinates of underwater objects, to transfer data, to look for minerals and the sunk objects. Without hydroacoustic communication it is impossible to provide mastering of the Arctic and Antarctic. Announced this DVFU on April 8, 2020.

The program can be installed on already existing hydroacoustic platforms (the platform of positioning) of submersibles that will improve their navigation and interaction in group, will help to define precisely their provision from each other. Thus, the speed of search works of different character will increase.

We can control provision of underwater objects not in four degrees of freedom, and in six. It means that the program considers not only plane, but also angular movements. The most important that we set a software module directly on the platforms which are already existing and widely applied around the world for calculations of spatial coordinates in four degrees of freedom. Our program considers these coordinates so that then to count them in six degrees of freedom that managed to be reached thanks to the developed mathematical algorithms. Thus, our system does not need new technology base that does its application simple and cost-efficient, told the head of the department of instrument making of the DVFU Engineering school, professor Vladimir Korochentsev, one of developers of the program

The modifed system of hydroacoustic communication was tested in the artificial environment (the special indoor pool), having convinced that provision of an object can be set with a margin error in only 2-3 percent in six degrees of freedom. Traditionally in hydroacoustics the error in tens of percent is considered admissible that is connected with external factors.

Success was achieved thanks to mathematical modeling and methods of mathematical control (Monte-Carlo method). Algorithms level errors of sensors and recalculate four degrees of freedom in six through Eller's corners which describe turn of a three-dimensional body in an Euclidean space.

Vladimir Korochentsev specified that that in the real environment of the ocean where at different depths water has different characteristics, the error, most likely, will be higher. However indications all the same will be more exact thanks to positioning in six degrees of freedom.

Scientists are going to start the international tests of an advanced system of hydroacoustic communication this summer, however, with a careful eye to the epidemiological situation connected with SARS-COV-2 virus provoking COVID-19 disease.