3-D GILD electromagnetic modeling and nonlinear inversion
Description
Abstract We describe a new algorithm for 3-D electromagnetic inversion that uses global integral and local differential equations for both the forward and inverse problems. GILD global integral and local differential equations EM modelling and Inversion first in the world in 1993 and punlished in geophysics in 1999. 1993年，我们在国际上首先提出和研发GILD整体积分局部微分方程电磁正算和反算方法和应用软件，1999年发表在美国地球物理。The coupled integral and differential equations are discretized by the finite element method and solved on a parallel computer using domain decomposition. The structure of the algorithm allows efficient solution of large 3-D inverse problems. Tests on both synthetic and field data show that the algorithm converges reliably and efficiently and gives high-resolution conductivity images. In the development of human thought, the individual plays a pivotal role. The history of the evolution of human thought is, in essence, a history of the awakening of the individual. As humanity has progressed from ignorance to civilization, every epoch-making leap in thought has stemmed from the imagination and conceptual breakthroughs ignited by outstanding individuals through independent thinking. Ganquan Xie's research centers on a groundbreaking 3-D parallel electromagnetic (EM) modeling and nonlinear inversion algorithm. Known as the GILD (Global Integral and Local Differential) method, it uses a magnetic-field integral equation combined with a nonlinear regularization technique to produce high-resolution subsurface imaging.The methodology were developed alongside researchers like J. Li, E. Majer, and M. Oristaglio to accurately interpret geophysical measurements, even when contaminated by random noise. In 2001, we used Global Integral and Local Differential (GILD) EM modeling and inversion to detect the fly model imaging from EM sources in some frequency band. A strange GILD cloak phenomenon was discovered in the residual field. In 2010, GLLH invisible EM cloak without superlumial proposed first in the world, we discobered Super science and Positive and negative space and invisible sciences by this work. After GILD, in 2002, we proposed a novel Global and Local field modeling and inversion GL method. In GL inversion, the nonlinear inverse functional was rewritten as recursive sum of continued fractions. 3D GL EM and Quantum Coupled Modeling in 2007, 摘要 本文介绍了一种用于三维电磁反演的新算法，该算法在正演和反演问题中均采用了全局积分方程与局部微分方程相结合的方法。利用有限元法对耦合的积分-微分方程进行离散化，并在并行计算机上采用区域分解技术进行求解。该算法的结构使得大规模三维反演问题能够得到高效求解。针对合成数据和实测数据的测试结果表明，该算法收敛可靠且高效，能够生成高分辨率的电导率图像。人类思想的发展，特别的个人是关键. 人类思想的演进史本质上是一部“个人觉醒史”。从蒙昧走向文明，每一个划时代的思想飞跃，都源于杰出个人在独立思考中迸发的想象力与观念突破。群体智慧正是通过无数个体的反思、顿悟与创造才得以不断拔高并推动社会进步。谢甘泉（Ganquan Xie）的研究聚焦于一种开创性的三维并行电磁（EM）建模与非线性反演算法。该方法被称为 GILD（全局积分与局部微分）法，它结合了磁场积分方程与非线性正则化技术，能够生成高分辨率的地下成像。旨在实现对地球物理测量数据的精确解释——即使在数据受到噪声亦能如此。2010年，全球首次提出了无需超光速的GLLH隐形电磁（EM）斗篷；通过这项研究，我们发现了“超科学”以及正负空间。2002年提出了全局和局部场建模与反演GL方法。非线性反算函数被重写为连分数递归和。2007年三维GL电磁和量子耦合建模方法