Parameter identification for lined tunnels in a viscoplastic medium

This paper is dedicated to the identification of constitutive parameters of elasto‐viscoplastic constitutive law from measurements performed on deep underground cavities (typically tunnels). This inverse problem is solved by the minimization of a cost functional of least‐squares type. The exact gradient is computed by the direct differentiation method and the descent is done using the Levenberg–Marquardt algorithm. The method is presented for lined or unlined structures and is applied for an elastoviscoplastic constitutive law of the Perzyna class. Several identification problems are presented in one and two dimensions for different tunnel geometries. The used measurements have been obtained by a preliminary numerical simulation and perturbed with a white noise. The identified responses match the measurements. We also discuss the usage of the sensitivity analysis of the system, provided by the direct differentiation method, for the optimization of in situ monitoring. The sensitivity distribution in space and time assess the location of the measurements points as well as the time of observation needed for reliable identification. Copyright © 2002 John Wiley & Sons, Ltd.     

正、反演结合对川东石炭系储层地震响应特征的分析

川东地区石炭系碳酸盐岩储层是油气勘探开发的重点及难点储层之一。该储层以厚度小且变化大、低孔、低渗、非均质特点强为特征；地震响应上表现为典型的薄层响应特点。这里综合考虑了石炭系储层和上覆梁山组地层不同的地质特征，建立了地质、测井分析控制下的精细模型及正、反演，探讨了檀木场气田石炭系储层的地震响应特征。其正演结果表明，梁山组地层对石炭系的地震响应具有重要的影响，时差较振幅更为敏感。在正演结论指导下，运用考虑了时差和梁山组地层的初始模型，获得了较高精度的反演结果。     

岩体三维不连续裂隙网络及其逆建模方法

通过拟合实测的二维裂隙编录图和钻孔裂隙编录图，优化裂隙三维大小和密度参数，使模型能够准确再现野外所观测到的实际现象，包括开挖面和钻孔上不同裂隙的数量、密度和长度，通过计算实例验证了方法的可行性。     

Permeability Estimation with the Augmented Lagrangian Method for a Nonlinear Diffusion Equation

We consider numerical identification of the piecewise constant permeability function in a nonlinear parabolic equation, with the augmented Lagrangian method. By studying this problem, we aim at also gaining some insight into the potential ability of the augmented Lagrangian method to handle permeability estimation within the full two-phase porous-media flow setting. The identification is formulated as a constrained minimization problem. The parameter estimation problem is reduced to a coupled nonlinear algebraic system, which can be solved efficiently with the conjugate gradient method. The methodology is developed and numerical experiments with the proposed method are presented.     

Adaptive Multiscale Permeability Estimation

With multiscale permeability estimation one does not select parameterization prior to the estimation. Instead, one performs a hierarchical search for the right parameterization while solving a sequence of estimation problems with an increasing parameterization dimension. In some previous works on the subject, the same refinement is applied all over the porous medium. This may lead to over-parameterization, and subsequently, to unrealistic permeability estimates and excessive computational work. With adaptive multiscale permeability estimation, the new parameterization at an arbitrary stage in the estimation sequence is such that new degrees of freedom are not necessarily introduced all over the porous medium. The aim is to introduce new degrees of freedom only where it is warranted by the data. In this paper, we introduce a novel adaptive multiscale estimation. The approach is used to estimate absolute permeability from two-phase pressure data in several numerical examples.     

加权最小范数平差的伪观测解法

首先证明了加权最小范数平差一般解的一个重要性质，由此提出了利用附加的观测值来求解加权最小范数平差问题的方法，并证明了该法与利用一般解法等价性的充要条件。