2023 Higher Education Society Cup National College Student Mathematical Modeling Competition-[Problem Analysis] Question B: Multi-beam line measurement problem

 The problem-solving ideas and the complete paper are being updated, please be patient.

For details on competition precautions and complete competition questions, please see

Competition rules and competition guidance

2023 Higher Education Society Cup National College Student Mathematical Modeling Competition - Complete Questions and Data

Competition description

Single-beam bathymetry is a technology that uses the propagation characteristics of sound waves in water to measure the depth of water bodies. Sound waves spread evenly in a homogeneous medium

It propagates in a straight line at high speed and produces reflections on different interfaces. Using this principle, the acoustic wave signal is emitted vertically from the transducer of the measurement ship to the seabed.

number, and record the propagation time from sound wave emission to signal reception, calculated by the propagation speed and propagation time of sound waves in sea water

The depth of sea water, its working principle is shown in Figure 1 . Since the single-point continuous measurement method is adopted in the single-beam sounding process, <