双参数混合正则化方法及在电导率反演成像中的应用          下载免费PDF全文

王文娟  Chris Farmer  John Ockendon  冯宝宾  曹俊兴  谭永基 《地球物理学报》2011,54(8):2154-2159

通过引入带有二阶正则算子的正则化项,建立了一种双参数混合正则化方法.为确定最佳正则化参数,这里主要应用L-曲线法、偏差原理和广义交叉校验准则的优化组合来确定.首先对理论模型进行了数值模拟,通过与截断奇异值分解法、共轭梯度法及标准Tikhonov正则化法的结果比较,表明该方法不仅精度高,而且对于数据的随机扰动具有稳定性....  相似文献   

Reconstruction of sub-wavelength fractures and physical properties of masonry media using full-waveform inversion of proximal penetrating radar   总被引：1，自引：0，他引：1  

Claudio Patriarca  Sbastien Lambot  M.R. Mahmoudzadeh  Julien Minet  Evert Slob 《Journal of Applied Geophysics》2011,74(1):26-37

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Application of Proper Orthogonal Decomposition (POD) to inverse problems in saturated groundwater flow     

Corey Winton  Jackie Pettway 《Advances in water resources》2011,34(12):1519-1526

We develop a new Proper Orthogonal Decomposition (POD) reduced order model for saturated groundwater flow, and apply that model to an inverse problem for the hydraulic conductivity field. We use sensitivities as the POD basis. We compare the output when the optimizer uses the reduced order model against results obtained with a full PDE based model. The solutions generated using the POD reduced model are comparable in residual norm to the solutions formed using only the full-scale model. The material parameters are similarly comparable. The time to solution when using the reduced model is reduced by at least an order of magnitude, as are the number of calls to the full model.  相似文献   

线性不等式约束平差模型的一种解算方法     

曾磊  左廷英  罗亮 《北京测绘》2010,(4):1-3,17

不等式约束是实际测量中存在的一种约束,本文利用整标集法求解附线性不等式约束平差模型。首先了介绍带有不等式约束平差的最小二乘问题转化成凸二次规划问题,然后在Kuhn-Tucker条件下把二次规划问题转换成线性互补问题的基础上,利用整标集法来求出参数的最佳估值,最后通过一个数值算例来说明了该方法的可行性。  相似文献   

GPS广播星历参数拟合算法及其分析     

吕志伟  易维勇  曾志林 《测绘学院学报》2010,(2)

利用地面观测资料定轨确定的卫星位置、进而计算出的卫星广播星历参数是进行卫星定位的基础。为了分析卫星星历拟合的精度和效率,推导了由卫星位置拟合GPS卫星广播星历参数的数学模型。并用算例分析了影响拟合效率的因素,分析了卫星位置有误差是对于卫星星历参数的影响。结果验证了所给出的算法的可行性和有效性。  相似文献   

Effective block diagonal preconditioners for Biot's consolidation equations in piled‐raft foundations     

K. B. Chaudhary  K. K. Phoon  K. C. Toh 《国际地质力学数值与分析法杂志》2013,37(8):871-892

The finite element (FE) simulation of large‐scale soil–structure interaction problems (e.g. piled‐raft, tunnelling, and excavation) typically involves structural and geomaterials with significant differences in stiffness and permeability. The symmetric quasi‐minimal residual solver coupled with recently developed generalized Jacobi, modified symmetric successive over‐relaxation (MSSOR), or standard incomplete LU factorization (ILU) preconditioners can be ineffective for this class of problems. Inexact block diagonal preconditioners that are inexpensive approximations of the theoretical form are systematically evaluated for mitigating the coupled adverse effects because of such heterogeneous material properties (stiffness and permeability) and because of the percentage of the structural component in the system in piled‐raft foundations. Such mitigation led the proposed preconditioners to offer a significant saving in runtime (up to more than 10 times faster) in comparison with generalized Jacobi, modified symmetric successive over‐relaxation, and ILU preconditioners in simulating piled‐raft foundations. Copyright © 2012 John Wiley & Sons, Ltd.  相似文献   

On the hydraulic intake shape factor for a circular opening located at an impervious boundary: Influence of inclined stratification     

A. P. S. Selvadurai 《国际地质力学数值与分析法杂志》2011,35(6):639-651

In this paper, we develop an exact closed form solution for a circular entry point located at the interface between an impermeable material and a stratified porous medium, where the principal plane of hydraulic isotropy is inclined to the interface. Copyright © 2010 John Wiley & Sons, Ltd.  相似文献   

One‐dimensional consolidation with a threshold gradient: a Stefan problem with rate‐dependent latent heat     

Yang Zhou  Wan‐kui Bu  Meng‐meng Lu 《国际地质力学数值与分析法杂志》2013,37(16):2825-2832

During the process of one‐dimensional consolidation with a threshold gradient, the seepage front moves downward gradually, and the problem is indicated as a Stefan problem. The novel feature in this Stefan problem is a latent heat that varies inversely with the rate of the moving boundary. An exact solution for the external load that increases in proportion to the square root of time is constructed using the similarity transformation technique. Computational examples concerning the effect of different parameters on the motion of the seepage front are presented. The exact solution provides a worthwhile benchmark for verifying the accuracy of numerical and approximate methods. Copyright © 2013 John Wiley & Sons, Ltd.  相似文献   

预处理共轭梯度法解病态问题及在GPS中的应用     

张同兵  谢建  朱建军 《测绘工程》2010,19(4):60-63

介绍测量数据处理中病态问题的岭估计思想及确定岭参数的方法。引入预处理共轭梯度法求解病态法方程组,说明算法的基本原理和它能有效减弱病态性的原因。用一个GPS差分动态定位的实例,通过与不同岭估计方法的对比分析,验证该方法是一个有效的数值迭代算法。  相似文献   

主体功能区建设面临的问题及调整思路   总被引：6，自引：0，他引：6  

方忠权 《地域研究与开发》2008,27(6)

主体功能区建设是推进我国区域协调发展的重大战略举措,但要从构想走向实际操作却面临一系列问题:一是自身需要完善和发展,在划分标准、划分层次、划分的基本单元等方面需要进一步探讨;二是面临行政区利益的冲突;三是面临与各种空间规划或区划的衔接和协调;四是在实施保障方面,面临差别化区域政策的制定、实施主体的明确和生态补偿机制的完善等问题.因此,主体功能区需要从以下5个方面进行建设:①选择合理的行政区单元;②逐步推进主体功能区规划的编制;③平衡主体功能区与行政区的关系;④建立主体功能区规划的核心地位;⑤完善主体功能区划的生态补偿机制.  相似文献