地面核磁共振找水反演

简要介绍了地面核磁共振找水的正演理论方法,采用高斯求积并结合连分式展开的方法对核磁共振核函数中包含双重贝塞尔函数的积分核进行了数值积分,进而计算出精度较高的核函数值,在此基础之上,讨论了导电性对地面核磁共振信号的影响.基于奇异值分解算法,对核磁共振找水理论模型进行了反演研究,在不导电的情况下,重构出了比较理想的含水率分布.总结并改进了模拟退火算法,用改进的模拟退火算法分别对覆盖层高阻和导电条件下的核磁共振人工合成数据进行了反演,试验结果表明,利用改进的模拟退火算法反演地面核磁共振是可行的,而且反演结果较稳定,收敛速度较快.     

A heat perturbation flow meter for application in soft sediments

A prototype flow meter has been developed, based upon the heat perturbation principle, to monitor groundwater specific discharge in soft sediments. The device is designed for use in spatially intensive, long-term monitoring campaigns in remote or inconvenient locations, and is cheap, robust and capable of being logged automatically. The results of the laboratory tests indicate that the heat perturbation principle is suitable for determining the magnitude of specific discharge to a degree of accuracy that would be useful in practical applications in dynamic groundwater systems with rapidly changing flows of approximately 1 md⁻¹ or more and that the groundwater flow direction can generally be determined to a high level of precision. The accuracy and reliability of the estimates of specific discharge have been shown to depend strongly upon the geometrical precision of manufacture and the quality of the temperature monitoring system. These factors become most significant in the estimation of lower flows and further investigation is required to determine the detection limit of the device. Specific discharge estimates have been shown to be insensitive to dispersivity values appropriate to the scale of the device. Unlike the majority of heat perturbation devices, calibration is unnecessary.     

Predictive error dependencies when using pilot points and singular value decomposition in groundwater model calibration

A significant practical problem with the pilot point method is to choose the location of the pilot points. We present a method that is intended to relieve the modeler from much of this responsibility. The basic idea is that a very large number of pilot points are distributed more or less uniformly over the model area. Singular value decomposition (SVD) of the (possibly weighted) sensitivity matrix of the pilot point based model produces eigenvectors of which we pick a small number corresponding to significant eigenvalues. Super parameters are defined as factors through which parameter combinations corresponding to the chosen eigenvectors are multiplied to obtain the pilot point values. The model can thus be transformed from having many-pilot-point parameters to having a few super parameters that can be estimated by nonlinear regression on the basis of the available observations. (This technique can be used for any highly parameterized groundwater model, not only for models parameterized by the pilot point method.)     

Deterministic sensitivity analysis for a model for flow in porous media

A deterministic method for sensitivity analysis is developed and applied to a mathematical model for the simulation of flow in porous media. The method is based on the singular value decomposition (SVD) of the Jacobian matrix of the model. It is a local approach to sensitivity analysis providing a hierarchical classification of the directions in both the input space and of those in the output space reflecting the degree of sensitiveness of the latter to the former. Its low computational cost, in comparison with that of statistical approaches, allows the study of the variability of the results of the sensitivity analysis due to the variations of the input parameters of the model, and thus it can provide a quality criterion for the validity of more classical probabilistic global approaches. For the example treated here, however, this variability is weak, and deterministic and statistical methods yield similar sensitivity results.     

Stochastic analysis of bounded unsaturated flow in heterogeneous aquifers: Spectral/perturbation approach

This paper describes a stochastic analysis of steady state flow in a bounded, partially saturated heterogeneous porous medium subject to distributed infiltration. The presence of boundary conditions leads to non-uniformity in the mean unsaturated flow, which in turn causes non-stationarity in the statistics of velocity fields. Motivated by this, our aim is to investigate the impact of boundary conditions on the behavior of field-scale unsaturated flow. Within the framework of spectral theory based on Fourier–Stieltjes representations for the perturbed quantities, the general expressions for the pressure head variance, variance of log unsaturated hydraulic conductivity and variance of the specific discharge are presented in the wave number domain. Closed-form expressions are developed for the simplified case of statistical isotropy of the log hydraulic conductivity field with a constant soil pore-size distribution parameter. These expressions allow us to investigate the impact of the boundary conditions, namely the vertical infiltration from the soil surface and a prescribed pressure head at a certain depth below the soil surface. It is found that the boundary conditions are critical in predicting uncertainty in bounded unsaturated flow. Our analytical expression for the pressure head variance in a one-dimensional, heterogeneous flow domain, developed using a nonstationary spectral representation approach [Li S-G, McLaughlin D. A nonstationary spectral method for solving stochastic groundwater problems: unconditional analysis. Water Resour Res 1991;27(7):1589–605; Li S-G, McLaughlin D. Using the nonstationary spectral method to analyze flow through heterogeneous trending media. Water Resour Res 1995; 31(3):541–51], is precisely equivalent to the published result of Lu et al. [Lu Z, Zhang D. Analytical solutions to steady state unsaturated flow in layered, randomly heterogeneous soils via Kirchhoff transformation. Adv Water Resour 2004;27:775–84].     

基于频率摄动理论识别悬臂梁损伤方法的试验研究

将悬臂梁的振动理论和矩阵摄动理论相结合,推出悬臂梁损伤或缺陷的识别公式.通过2根钢悬臂梁的试验,测出其损伤前后的频率,并根据测试结果对梁的损伤程度进行判定.结果表明,用摄动理论不仅可以识别悬臂构件的损伤位置,还可以定量求出其损伤程度.     

黄土高原春季降水对青藏高原感热异常的响应

利用1961—2000年黄土高原56站的春季降水和NCEP/NCAR再分析资料,采用SVD方法分析了黄土高原春季降水与青藏高原地面感热的关系。结果表明,黄土高原春季降水量与青藏高原地面感热的前两个模态代表了两场间的主要耦合特征,具有高度的时空相关。青藏高原感热对黄土高原降水影响最显著的区域在西部和南部、北部。前期高原感热场的第一、二模态对黄土高原春季干旱的预测具有指示意义。     

Dynamic Analysis of a Turret-Moored Tanker

—In this paper,the second-order perturbation method in frequency domain is used to calculateRAO and spectra of motion and mooring line tension of a turret-moored tanker in ballast condition.Thecalculated results are compared with corresponding experiment results.In the experiment the wave head-ing is 180°,and the wave spectra is the P-M spectrum and white noise spectrum.In the theoretical calcu-lations,the damping coefficient of slow oscillation of the tanker is determined on the basis of the dampingobtained from a test of irregular waves where the mooring system is replaced by a nonlinear spring withnonlinear stiffness similar to that of the mooring system.From the comparison between theoretical calcula-tions and experimental results,it can be found that the theoretical results obtained by the second-orderperturbation method in frequency domain are in good agreement with the experimental results,indicatingthat the damping coefficient of slow oscillation of the tanker required in frequency domain calcu     

基于假反扰动的江淮梅雨锋低涡初始误差分析

以一个江淮梅雨锋低涡的48h模拟结果为基态计算了奇异矢量,并利用奇异矢量构造了假反扰动。分析表明,假反扰动能在一定程度上描述初始误差,可以借助其进行初始误差分析;在假反扰动中,发展缓慢的奇异矢量分量是主体,描述了绝大部分模拟误差且增长迅速的奇异矢量所占比例却很小;分析假反扰动的具体形势发现850hPa上初始误差主要是低涡西南方向的低压槽偏弱,而在500hPa,渤海湾低压槽向西南方向的伸展不够,低压槽东边的高压脊应进一步向北伸展,这些初始误差都分布在关键系统的周围,并且具有中尺度的特征。另外,假反扰动中不同物理量场改进预报质量的贡献各不相同,各种物理量场间存在着使其空间分布趋于一致的动力相关关系。     

1948～2004年全球越赤道气流气候变化

利用1948年1月～2004年12月逐月NCEP/NCAR的全球1000 hPa、850 hPa、700 hPa、600 hPa、500 hPa、400 hPa、300 hPa、200 hPa、150 hPa、100 hPa的10层经向格点风,计算了全球越赤道气流和年变化,分析了全球850 hPa越赤道气流通道的时、空变化特征。指出在研究的时间段内,全球850 hPa越赤道气流有明显的长期趋势变化和年代际变化。近57年,6～8月的45～50°E、5～9月的105～115°E、5～9月和5～11月的130～140°E、2～4月的20～25°E的越赤道气流有明显的加强,6～8月的50～35°W的越赤道气流减弱。夏季索马里的越赤道气流,平均每10年增强0.25 m/s,而130～140°E,5～9月的越赤道气流,平均每10年增强0.32 m/s。奇异谱分析表明,850 hPa越赤道气流的年代际变化和趋势变化的方差贡献达到35%～45%。年际变化的方差贡献不超过30%,还指出夏季太平洋的越赤道气流的强度变化与南方涛动有明显关系,弱南方涛动时,有强的越赤道气流。而索马里急流强度与北大西洋涛动有弱的正相关。