A BME solution of the inverse problem for saturated groundwater flow   总被引：3，自引：3，他引：0  

M. L.?SerreEmail author  G.?Christakos  H.?Li  C. T.?Miller 《Stochastic Environmental Research and Risk Assessment (SERRA)》2003,17(6):354-369

In most real-world hydrogeologic situations, natural heterogeneity and measurement errors introduce major sources of uncertainty in the solution of the inverse problem. The Bayesian Maximum Entropy (BME) method of modern geostatistics offers an efficient solution to the inverse problem by first assimilating various physical knowledge bases (hydrologic laws, water table elevation data, uncertain hydraulic resistivity measurements, etc.) and then producing robust estimates of the subsurface variables across space. We present specific methods for implementing the BME conceptual framework to solve an inverse problem involving Darcys law for subsurface flow. We illustrate one of these methods in the case of a synthetic one-dimensional case study concerned with the estimation of hydraulic resistivity conditioned on soft data and hydraulic head measurements. The BME framework processes the physical knowledge contained in Darcys law and generates accurate estimates of hydraulic resistivity across space. The optimal distribution of hard and soft data needed to minimize the associated estimation error at a specified sampling cost is determined. This work was supported by grants from the National Institute of Environmental Health Sciences (Grant no. 5 P42 ES05948 and P30ES10126), the National Aeronautics and Space Administration (Grant no. 60-00RFQ041), the Army Research Office (Grant no. DAAG55-98-1-0289), and the National Science Foundation under Agreement No. DMS-0112069.  相似文献   

测井资料在碳酸盐岩洞—裂缝型储层产能评价中的应用   总被引：3，自引：1，他引：2  

赵军  祁兴中  夏宏权  刘红歧 《现代地质》2003,17(1):99-104

介绍了一种基于测井资料来预测双孔结构碳酸盐岩储层产能的新方法。首先根据碳酸盐岩剖面中双孔结构储层的地质和测井特征,提取与储层产能密切相关的多个测井和地质参数,考虑到这些参数与产能的非线性相关关系以及产能数据的变化特点,采用BP神经网络技术建立其储层产能的预测模型,由此处理了轮南地区的多口井测井资料。所预测的储层段产能与试油产能较为一致,效果良好。  相似文献   

Special Solutions in a Simplified Restricted Three-Body Problem with Gravitational Radiation Taken into Account     

V. A. Brumberg 《Celestial Mechanics and Dynamical Astronomy》2003,85(3):269-291

The distinctive feature of the relativistic restricted three-body problem within the c ^–5 order of accuracy (2 post-Newtonian approximation) is the presence of the gravitational radiation. To simplify the problem the motion of the massive binary components is assumed to be quasi-circular. In terms of time these orbits have linearly changing radii and quadratically changing phase angles. By substituting this motion into the Newtonian-like equations of motion one gets the quasi-Newtonian restricted quasi-circular three-body problem sufficient to take into account the main indirect perturbations caused by the binary radiation terms. Such problem admits the Lagrange-like quasi-libration solutions and rather simple quasi-circular orbits lying at large distance from the binary.  相似文献   

The Non-Linear Stability of L4 in the Restricted Three-Body Problem when the Bigger Primary is a Triaxial Rigid Body     

P. P. Hallan  Sanjay Jain  K. B. Bhatnagar 《Celestial Mechanics and Dynamical Astronomy》2000,77(3):157-184

The non-linear stability of L ₄ in the restricted three-body problem has been studied when the bigger primary is a triaxial rigid body with its equatorial plane coincident with the plane of motion. It is found that L ₄ is stable in the range of linear stability except for three mass ratios:where A₁, A₂ depend upon the lengths of the semi axes of the triaxial rigid body. This revised version was published online in July 2006 with corrections to the Cover Date.  相似文献   

Invariant Tori in the Secular Motions of the Three-body Planetary Systems     

Ugo Locatelli  Antonio Giorgilli 《Celestial Mechanics and Dynamical Astronomy》2000,78(1-4):47-74

We consider the problem of the applicability of KAM theorem to a realistic problem of three bodies. In the framework of the averaged dynamics over the fast angles for the Sun–Jupiter–Saturn system we can prove the perpetual stability of the orbit. The proof is based on semi-numerical algorithms requiring both explicit algebraic manipulations of series and analytical estimates. The proof is made rigorous by using interval arithmetics in order to control the numerical errors.  相似文献   

Steady- and transient-state inversion in hydrogeology by successive flux estimation     

Philippe Pasquier  Denis Marcotte 《Advances in water resources》2006,29(12):1934-1952

A calibration method to solve the groundwater inverse problem under steady- and transient-state conditions is presented. The method compares kriged and numerical head field gradients to modify hydraulic conductivity without the use of non-linear optimization techniques. The process is repeated iteratively until a close match with piezometric data is reached. The approach includes a damping factor to avoid divergence and oscillation of the solution in areas of low hydraulic gradient and a weighting factor to account for temporal head variation in transient simulations. The efficiency of the method in terms of computing time and calibration results is demonstrated with a synthetic field. It is shown that the proposed method provides parameter fields that reproduce both hydraulic conductivity and piezometric data in few forward model solutions. Stochastic numerical experiments are conducted to evaluate the sensitivity of the method to the damping function and to the head field estimation errors.  相似文献   

武汉城市地下空间工程地质研究   总被引：2，自引：1，他引：2  

宁国民  陈国金  徐绍宇  肖音 《水文地质工程地质》2006,33(6):29-35

利用武汉市现有勘察资料,初步分析研究城市地下空间的物质载体及其空间组合关系,从空间岩土体工程地质性质和赋水条件入手,研究得出武汉城市地下空间的利用存在岩溶地面塌陷、地下水作用、软土变形三大工程地质问题。在此基础上进行地下空间利用区划,指出各区在地下工程建设中需要重点防范的工程地质问题和合理利用地下空间的方法。最后以武汉地铁首期工程为例,分析工程地质优势与问题,提出防范问题的措施建议。  相似文献   

中国西北地区干旱气侯学的新进展及其主要科学问题     

董安祥  白虎志  雷小斌 《干旱气象》2006,24(4):57-62

回顾了“十五”期间中国西北地区干旱气侯学的进展。就遥感监测、西北干旱形成机制、西北地区年代际的气候变化、西北干旱新的强讯号、高原干旱气候生态作物适应性和西北干旱监测预测业务服务综合系统等方面所取得重要研究进展和学术成就,作了系统的回顾;并对21世纪初干旱气侯学的主要科学问题作了展望。  相似文献   

一类退缩反应扩散方程组初边值问题解的存在性和唯一性     

邹赢  李刚  徐金花 《南京气象学院学报》2006,29(2):242-248

利用紧性理论，证明了扩散现象中出现的一类退缩抛物型方程组初边值问题解的存在性和唯一性。  相似文献   

基于虚拟观测的病态问题解法   总被引：2，自引：0，他引：2  

冯光财  戴吾蛟  朱建军  陈正阳 《测绘科学》2007,32(2):38-39,66

在大地测量数据处理领域中,处理病态问题的主要方法有:岭估计方法、奇异值分解法(SVD)、Tik-honov正则化方法等,但是这些方法大多数是强调数学上的意义,没有充分联系大地测量的实际情况,因此不利于在测绘领域病态问题本质的理解和研究。为使病态问题的求解具有实际的物理意义,提出了基于虚拟观测的岭估计方法。该方法将先验约束条件作为一类互相独立的虚拟观测值,从而把病态问题转化为测量平差问题,然后运用Helmert方差估计法来确定岭参数。该方法还可以得到的参数之间的权矩阵,用它来代替虚拟观测值的权矩阵,重新对参数进行计算,则实现了该方法向广义岭估计的推广。实际算例分析的结果表明该方法不仅计算简单而且能保证结果精确。  相似文献