I. Hamak, P. Wachilala, J. Borges, I. Koulakov, M. Bezzeghoud
Том: Advances in Mathematical Modeling in Science, Engineering, and Social Sciences. The Second International Workhop on Mathematics and Physical Sciences (Evora, Portugal, July 11-12, 2024)
Том: Part F2032
, Год издания: 2024
Многотомное издание: Advances in Mathematical Modeling in Science, Engineering, and Social Sciences. The Second International Workhop on Mathematics and Physical Sciences (Evora, Portugal, July 11-12, 2024)
Издатель: Springer
Страницы: 241-262
Аннотация
In Earth physics, mathematical theories are applied to quantify and model the physical properties of the inner Earth. By analyzing seismic waves arrival times at seismometers, the velocity of wave propagation can be determined, and valuable insights into rock properties can be gained. Passive seismic tomography involves the resolution of two inverse problems: earthquake localization and computation of wave propagation velocity. When dealing with the inverse problem in geophysics, the potential non-uniqueness of the solution due to errors in the data must be acknowledged. To address this, mathematical and physical theories and prior information about the model can be leveraged to constrain the solutions and generate more realistic models. This approach allows the refinement of the Earths inner processes understanding and the improvement of the model accuracy. The importance of uniform distribution of seismic wave paths is crucial in the resolution of tomographic images. Generally, earthquake clustering generates biased calculation of velocities due to the lack of even sampling of cell calculation. This study emphasizes the fact that rather than the number of earthquakes and stations, it is their uniform distribution that plays a critical role in seismic tomography accuracy.