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The Damped PSO Algorithm and its Application for Magnetotelluric Sounding Data Inversion

机译:阻尼PSO算法及其在大地电磁测深数据反演中的应用

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The Magnetotelluric inversion plays an important role in MT. Nowadays, the methods based on the layered model are used most widely. Such as the gradient method, Gaussian method, Marquardt method and generalized inverse matrix method, Bostick inversion, continuous medium inversion method, PWEI and so on. As we know that the traditional inversion methods based on the principle of minimum variance depend on the initial model and are easily trapped in a local minimum. That's because that these inversion methods deal with the nonlinear problems by linear methods. The use of fully nonlinear inversion methods of magnetotelluric data processing has great feasibility and necessity. In this paper, we try to use a new PSO algorithm called Damped PSO Algorithm in the magnetotelluric data inversion and interpretation. We introduce the basic principles and steps of the PSO algorithm at first. And then took the numerical test of PSO algorithm. On this basis, we write a procedure of PSO for one-dimensional magnetotelluric inversion. We use this algorithm in the inversion of the theoretical data of several typical one-dimensional horizontal models (D-type and KH-type) with random noise of different levels, and compared to the inversion results of Monte Carlo method and Simulated Annealing method. Then we use it for an obverted data inversion, the result shows very well. In Abstract, PSO algorithm has strong optimization capabilities and anti-noise capability. It can be used for the initial inversion of the theoretical data and the observed data.
机译:大地电磁反演在MT中起重要作用。如今,基于分层模型的方法得到了最广泛的应用。如梯度法,高斯法,Marquardt法和广义逆矩阵法,Bostick反演,连续介质反演法,PWEI等。众所周知,基于最小方差原理的传统反演方法取决于初始模型,并且很容易陷入局部最小值。这是因为这些反演方法通过线性方法处理非线性问题。大地电磁数据处理的完全非线性反演方法的使用具有很大的可行性和必要性。在本文中,我们尝试在大地电磁数据反演和解释中使用一种称为“阻尼PSO算法”的新PSO算法。我们首先介绍PSO算法的基本原理和步骤。然后进行了PSO算法的数值测试。在此基础上,我们编写了用于一维大地电磁反演的PSO程序。我们将该算法用于几种典型的具有不同水平随机噪声的一维水平模型(D型和KH型)的理论数据反演,并与蒙特卡罗方法和模拟退火方法的反演结果进行了比较。然后我们将其用于反向数据反转,结果显示非常好。综上所述,PSO算法具有强大的优化能力和抗噪声能力。它可以用于理论数据和观测数据的初始反演。

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