Combined meshless modelling and inversion of electromagnetic data

组合无网格建模和电磁数据反演

• 批准号: 415298186
• 负责人: Dr. Jan Wittke
• 金额: --
• 依托单位: Institut für Geophysik und Geoinformatik
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2018
• 资助国家: 德国
• 起止时间: 2017-12-31 至 2020-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/415298186?language=en
• 关键词: Combined; meshless; modelling; inversion; electromagnetic

In this project, a newly meshless scheme for the inversion and simulation of geoelectric and electromagnetic data will be developed. In contrast to commonly used discretization techniques like finite differences (fd) or the finite element method (fem), no fixed mesh or grid will be used during the discretization. For this project we use an already available algorithm, developed within the framework of a dissertation at the University of Cologne, which is capable to simulate magnetotelluric experiments and extend it to handle geoelectrical as well as active electromagnetic simulations. A new inverse algorithm will be developed which directly benefit from the meshless discretizations of the two different methods. To achieve this, a joint-inversion will be developed which is based on a new mathematical formulation of the Gauss-Newton algorithm. Here, the two methods will be linked in a mathematical way to enhance the image of the subsurface. To validate the newly developed algorithm, synthetic as well as real data will be inverted to study the enhanced image of the subsurface.

在本计画中，将发展一种新的无网格方法来进行地电与电磁资料的反演与模拟。与常用的离散化技术（如有限差分（fd）或有限元法（fem））不同，离散化过程中不会使用固定网格或网格。对于这个项目，我们使用一个已经可用的算法，在科隆大学，这是能够模拟大地电磁实验和扩展到处理地电以及主动电磁模拟的论文的框架内开发。将开发一个新的逆算法，直接受益于无网格离散的两种不同的方法。为了实现这一点，联合反演将开发这是基于一个新的数学公式的高斯-牛顿算法。在这里，这两种方法将以数学方式联系起来，以增强地下图像。为了验证新开发的算法，将对合成数据和真实的数据进行反演，以研究地下的增强图像。