確率インバージョンによる地中内部の可視化

该研究计划的主要目的是通过随机反演精确地可视化地下。这涉及到识别空间参数，如弹性模量和几何参数，表示在空间参数发生跳跃的界面。在该项目的第一阶段，已经开发了一种新的1-D transdimensional MCMC/HMC算法，该算法能够在空间和几何参数的数量未知的情况下进行反演。这是跨维度HMC接口检测（t-HMCID）算法开发的第一步。该算法不是检测多个空洞，而是在合成圆锥贯入（岩土）数据上进行测试，以检测地下层的确切数量、深度及其空间特性。得到的结果是令人鼓舞的，并显示出上级/同等性能的竞争算法。该算法将被扩展到2-D和3-D，从该算法的发展中获得的见解将被应用到t-HMCID算法的发展随后。现有的实验装置用于实验。虽然水头的测量是准确的，但在出流率测量中观察到很大的误差。目前正在制定一项计划，对实验装置进行可能的修改，以产生可靠的结果。

The main aim of the research plan is the accurate visualization of subsurface through stochastic inversion. This involves identification of spatial parameters such as elastic modulus and geometry parameters that represent an interface where jump in spatial parameters occur. In the first phase of this project, a novel 1-D transdimensional MCMC/HMC algorithm has been developed that enables inversion in the cases where the number of spatial and geometry parameters are unknown. This is the first step in the development of the transdimensional-HMC for Interface Detection (t-HMCID) algorithm. Instead of detecting multiple voids, the algorithm is being tested on synthetic cone penetration (geotechnical) data for the detection of exact number of subsurface layers, their depths and their spatial properties. The results obtained are encouraging and shows superior/equivalent performance to competing algorithms. This algorithm will be extended to 2-D and 3-D and the insights obtained from the development of this algorithm will be applied to the development of the t-HMCID algorithm subsequently.The experimentation program was initiated with mixed results. An existing experimental apparatus was employed for the experiment. While the measurements of hydraulic head were accurate, a large error was observed in outflow rate measurements. A plan is being developed currently on possible modifications of the experimental device to yield robust results.