Precise Positioning of a Transponder Placed on a sea Floor (2)
A0178Hiroshi Isshiki Institute of Mathematical Analysis
In the first report, not only the position of a sea bottom
transponder but also the underwater acoustic velocity can be
determined, if the position of sea surface transponders and the
distances between the surface and bottom transponders are known. In
the present report, a theoretical possibility of obtaining the
position of the sea bottom transponder with accuracy of centimeter
order is shown. For the purpose, estimation of the underwater
acoustic velocity distribution as a part of solution is extremely
important. Effects of errors in the positions of the surface
transponders and the distances between the surface and bottom
transponders are also obtained in detail.
In the previous papers, two dimensional calculations are conducted.
In the present paper, more realistic simulations are conducted by
introducing three dimensional calculations. And a new idea called
method of incremental layers are developed to stabilize numerical
The effects of current are also discussed.