INVERSE PROBLEM OF ACOUSTICS

• 主要作者: SANTOSO YUWONO (NIM: 10113045), DAVID
• 格式: Final Project
• 語言: Indonesia
• 在線閱讀: https://digilib.itb.ac.id/gdl/view/21593
• 機構: Institut Teknologi Bandung

In this final project, we will study the inversion of acoustics to predict the physical <br /> <br /> <br /> parameters of a wave media. It is assumed that the wave propagate on one dimensional <br /> <br /> <br /> media (one can call it as a string). Before doing the inversion, one should <br /> <br /> <br /> learn about the forward problem first. With a good understanding about the forward <br /> <br /> <br /> problem, we can generate the data from the specific initial and boundary problem <br /> <br /> <br /> in the model. Here is the brief explanation about the model that will be used in <br /> <br /> <br /> this final project. Physically, a pressure will be given to one point on the media. <br /> <br /> <br /> Then, the system will be observed within an interval of time, especially at the point <br /> <br /> <br /> which the pressure has been given. After that, the behavior at that point will be <br /> <br /> <br /> recorded. With this data, physical parameter like the wave speed and the density will <br /> <br /> <br /> be computed as the solution of the inversion. To find the solution, we convert the <br /> <br /> <br /> acoustics partial differential equation into a system of non-linear Volterra integral <br /> <br /> <br /> equation. The system of integral equation will be solved iteratively. At the end, the <br /> <br /> <br /> parameters that can be predicted by this model is the product of the wave speed and <br /> <br /> <br /> the density.