Inverse problems in seismic ray theory: traveltime and polarization inverse

我的研究涉及植根于弹性理论的地震射线理论的反问题，包括利用地震学测量获得表征地下的参数。在地震射线理论的背景下，测量是地震信号的旅行时和偏振。垂直地震剖面为这类观测提供了一个方便的实验装置，接收器位于井筒和地面，或震源和接收器都位于邻近的井中。由于所描述的研究计划侧重于地震调查的数学基础及其计算实施，因此结果可能会为理论和计算研究提供新的途径，如油藏特征中的复杂介质调查。该项目有助于理解地球物理理论，加强油气藏的评价、勘探和开发，从而减少其对环境的影响。拟议的研究结果将改进数据的成像，因此可以用于其他领域，特别是在医学成像中。

My research deals with the inverse problem of seismic ray theory rooted in the theory of elasticity, and consisting of obtaining parameters characterizing the subsurface using seismological measurements. In the context of seismic ray theory, the measurements are traveltimes and polarizations of the seismic signal. A convenient experimental setup for such observations is provided by vertical seismic profiles with receivers located in the wellbores and the sources located on the surface, or with both sources and receivers located in the neighbouring wellbores.Since the described research program focuses on the mathematical underpinnings of seismic investigations and their computational implementation, the results might suggest new paths of theoretical and computational investigations, such as the investigations of complex media in reservoir characterization.The proposed project contributes to the understanding of geophysical theory and to the enhancement of evaluation, exploration and exploitation of oil and gas reservoirs, and hence to the lessening of their environmental impact. The results of the proposed research will improve the imaging of data, and, as such, can be used in other fields, notably, in medical imaging.