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   

Adaptive split-operator methods for modeling transport phenomena in porous medium systems     

Sarah E. Gasda 《Advances in water resources》2011,34(10):1268-1282

Split-operator methods are commonly used to approximate environmental models. These methods facilitate the tailoring of different approximation approaches to different portions of the differential operator and provide a means to split large coupled problems into pieces that are more amenable to parallel computation than the original fully-coupled problem. However, split-operator methods introduce an additional source of approximation error into the solution, which is typically either ignored or controlled heuristically. In this work, we develop two methods to estimate and control the error in split-operator methods, which lead to a dynamic adjustment of the temporal splitting step based upon the error estimators. The proposed methods are shown to yield robust solutions that provide the desired control of error. In addition, for a typical nonlinear reaction problem, the new methods are shown to reduce the solution error by more than two orders of magnitude compared to standard methods for an identical level of computational effort. The algorithms introduced and evaluated have widespread applicability in environmental modeling.  相似文献   

青藏高原北部地区地震基本活动状态定量评价   总被引：3，自引：1，他引：2       下载免费PDF全文

刘小凤  梅秀苹  冯建刚  程建武  张辉 《地震工程学报》2011,33(2):130-136

基于区域构造背景、应力场状态及动力学环境等,将青藏高原北部地区划分为4个相对独立的统计单元,即祁连山地震带、甘东南地区、柴达木一共和地块及库玛地震带.通过地震频度和b值拟合确定了各个地区不同下限震级的地震目录完整性起始时间;确定了各构造单元中强以上地震活跃与平静交替活动的特征;定量计算了在平均状态中强以上地震活动特征参数及平静阶段与活跃阶段地震活动特征参数;分别获得了各个区域在平均、活跃与平静状态下的小震活动状态参数.  相似文献   

新疆且末地磁基准台场址勘选     

史勇军  吴琼  李晓东 《地震地磁观测与研究》2011,32(6):162-167

对拟建设的新疆且末地磁台进行场址勘选,采取十字剖面测量和密跨度测量方法进行地磁场总强度F测量,对测量结果进行初步分析.分析结果表明,且末地磁台的地质条件、磁场梯度分布和背景噪声环境等地磁观测环境条件,符合国家地磁台建设规范的要求,适宜地磁基准台站建设.  相似文献   

Efficient collection of training data for sub-pixel land cover classification using neural networks     

Stien Heremans  Bert Bossyns  Herman Eerens  Jos Van Orshoven 《International Journal of Applied Earth Observation and Geoinformation》2011

Artificial neural networks (ANNs) are a popular class of techniques for performing soft classifications of satellite images. They have successfully been applied for estimating crop areas through sub-pixel classification of medium to low resolution images. Before a network can be used for classification and estimation, however, it has to be trained. The collection of the reference area fractions needed to train an ANN is often both time-consuming and expensive. This study focuses on strategies for decreasing the efforts needed to collect the necessary reference data, without compromising the accuracy of the resulting area estimates. Two aspects were studied: the spatial sampling scheme (i) and the possibility for reusing trained networks in multiple consecutive seasons (ii). Belgium was chosen as the study area because of the vast amount of reference data available. Time series of monthly NDVI composites for both SPOT-VGT and MODIS were used as the network inputs. The results showed that accurate regional crop area estimation (R² > 80%) is possible using only 1% of the entire area for network training, provided that the training samples used are representative for the land use variability present in the study area. Limiting the training samples to a specific subset of the population, either geographically or thematically, significantly decreased the accuracy of the estimates. The results also indicate that the use of ANNs trained with data from one season to estimate area fractions in another season is not to be recommended. The interannual variability observed in the endmembers’ spectral signatures underlines the importance of using up-to-date training samples. It can thus be concluded that the representativeness of the training samples, both regarding the spatial and the temporal aspects, is an important issue in crop area estimation using ANNs that should not easily be ignored.  相似文献   

GPS/Doppler导航随机模型的移动窗口实时估计算法     

周泽波  沈云中  李博峰 《测绘学报》2011,40(2):220-225

引进时间遗忘因子和观测冗余度因子,有效地平衡移动窗口内不同时刻的观测数据及其冗余情况对单位权方差估值的贡献,改进单位权方差的移动开窗实时估计算法.采用载噪比模型确定观测权阵,等价权抗差估计方法处理粗差.实测车载GPS/Doppler数据的处理结果表明:采用本文算法显著提高GPS/Doppler的导航精度与可靠性.  相似文献   

一元非对称P范分布的极大似然平差     

潘雄  赵启龙  王俊雷  袁珊丽 《测绘学报》2011,40(1):33-36

从测量误差的实际情况出发,提出一元非对称P范分布极大似然平差方法,建立该方法的数学模型,得到一元非对称P范分布的密度函数,利用极大似然估计方法推导参数估计值的基础方程.研究表明,结合实际测量数据,通过选择合适的参数估计值,可以增加误差分布模型选取的灵活性,便于P范分布理论在测绘数据处理中的推广应用.  相似文献   

超高阶次勒让德函数递推计算中的压缩因子和Horner求和技术   总被引：1，自引：0，他引：1  

赵丽华  杨元喜  王庆良 《测绘学报》2011,40(4):0-441

摘要：超高阶次（如2000阶次）缔合勒让德函数值的递推计算,在接近两极时达到极大的数量级（超过10的数千次方）,这导致现有递推方法在计算缔合勒让德函数值及其导数值时失效。我们通过插入压缩因子技术,提出一个修改的递推算法,并结合使用Horner求和技术计算球谐级数的部分和。试验表明,该算法至少可以计算到3600完全阶次的球谐级数式,优于现有结果。  相似文献   

病态模型参数估计在整周模糊度解算中的应用     

黄海兰 《测绘信息与工程》2011,36(2):34-36

介绍了病态模型参数估计方法,并将其应用于GPS快速动态定位整周模糊度的解算,实现了模糊度初值的快速准确求解。  相似文献   

基于典型物候特征的MODIS-EVI时间序列数据 农作物种植面积提取方法 —小区域冬小麦实验研究   总被引：11，自引：1，他引：10  

潘耀忠  李乐  张锦水  梁顺林  侯东 《遥感学报》2011,15(3):578-594

利用MODIS植被指数时间序列这一特性,以北京市通州及周边为实验区,冬小麦种植面积为研究对象,提出 了农作物种植面积指数模型(Pan-CPI模型)的概念,并构造了冬小麦特征物候期植被指数与种植面积的定量函数关系, 通过样区TM影像求解关键参数,对研究区冬小麦种植面积测量方法进行了试验研究。研究结果表明：(1)Pan-CPI模 型能够很好地反映特定目标农作物种植面积状况,为基于植被指数时间序列影像识别农作物种植面积提供了新方法; (2)精度分析结果表明：Pan-CPI模型具有很高的稳定性,且不受样本变化的影响,只要达到满足模型计算的样本量(如： 5%),多次测量结果间具有很好的一致性。选取MODIS 6×6像元大小的窗口时,TM样本的复相关系数(R2)稳定在0.85 左右,与TM结果比较,窗口相对精度稳定在95%左右,区域精度稳定在92%以上,经调整的区域精度高达96%以上; (3)对于种植结构复杂、目标作物种植破碎的地区,Pan-CPI模型可以充分利用MODIS植被指数时间序列的优势,有效改 善TM单时相和多时相提取信息因时相缺失无法表征作物变化的不足。  相似文献