利用共轭梯度方法的电阻率三维反演若干问题研究

利用共轭梯度方法的电阻率三维反演是近几年才发展起来的 ,尚有诸多问题有待探讨。主要讨论了拉格朗日因子λ、共轭梯度迭代次数对三维反演结果的影响 ,以便获得良好的三维反演效果     

Euler–Lagrange equations for the spectral element shallow water system

We present the derivation of the discrete Euler–Lagrange equations for an inverse spectral element ocean model based on the shallow water equations. We show that the discrete Euler–Lagrange equations can be obtained from the continuous Euler–Lagrange equations by using a correct combination of the weak and the strong forms of derivatives in the Galerkin integrals, and by changing the order with which elemental assembly and mass averaging are applied in the forward and in the adjoint systems. Our derivation can be extended to obtain an adjoint for any Galerkin finite element and spectral element system.We begin the derivations using a linear wave equation in one dimension. We then apply our technique to a two-dimensional shallow water ocean model and test it on a classic double-gyre problem. The spectral element forward and adjoint ocean models can be used in a variety of inverse applications, ranging from traditional data assimilation and parameter estimation, to the less traditional model sensitivity and stability analyses, and ensemble prediction. Here the Euler–Lagrange equations are solved by an indirect representer algorithm.     

陆源污染物对连云港海域环境影响研究

应用沿深平均二维模型模拟了连云港海域的潮流场,分析了该海域的潮波特性,在此基础上,应用扩散方程对连云港海域的水污染扩散进行了数值模拟,得到了港域水体的半交换期;比较分析了西大堤对该水域水交换的影响;计算了港域水体的Lagrange余流场,并分析了其对污染物运移的影响,得到了港域几个典型位置的Lagrange轨迹;计算了港域的纳潮量,综合分析了港域水体的物理自净能力。     

Numerical investigations of soil plugging effect inside large-diameter,open-ended wind turbine monopiles driven by vibratory hammers

Abstract

This study established a Couple Eulerian–Lagrange model to simulate monopile vibratory penetration for the investigation of soil plugging effect during high-frequency penetration of monopiles for wind turbine. Simulation analysis is focused particularly on soil plugging effect of a large diameter monopile during vibratory penetration into sand, clay, or layered soil. The results of the numerical simulation show that soil plugging effect is unlikely to occur during monopile penetration into the clay soil, while partial soil plugging may occur during the sand penetration. Penetration resistance at the pile toe is transferred to the radial stress around the pile wall. At a critical point penetration process, internal shaft friction becomes larger than external shaft friction. Moreover, radial pressure factors increase during partial soil plugging effect. For layered soil, the topsoil not only has great influence on the soil plugging effect, but also affects shaft friction in the subsoil during monopile penetration.     

资料同化中的伴随方法及其在海洋中的应用

较系统地综述了资料同化中各种方法的分类,并着重说明了伴随方法的基本原理和具体实现步骤。并总结了伴随方法在海洋中的应用现状,并指出由于观测资料特别是遥感资料的日益丰富,伴随方法将有广泛地应用前景。     

在大地电磁二维Occam反演中求取拉格朗日乘子方法改进

Occam反演具有可靠性和加上各种先验信息可行性的优点,但是因为求取拉格朗日乘子需要很长时间,所以前人提出了几个直接选取方法。笔者改进了二维大地电磁测深Occam反演中求取拉格朗日乘子的方法。在搜索过程中加上观测数据拟合差与其期望值的比较。这样,在Occam反演的拟合差下降阶段的最后迭代和模型光滑阶段,能够排除多余的正演计算。这种改进对反演结果没有影响,但却使得反演速度加快并且更符合于Occam思想。根据模型实验和野外数据处理,可以减少正演次数20%~50%。     

2010年7~8月东北地区暴雨过程的水汽输送特征分析

本文根据影响天气系统和雨带位置的不同将2010年7~8月东北地区出现的22个暴雨日划分成了三类暴雨,在以欧拉方法分析了各类暴雨的水汽输送和收支的基础上,利用基于拉格朗日方法的轨迹模式(HYSPLIT v4.9),模拟计算了各类暴雨的水汽输送轨迹、主要通道以及不同源地的水汽贡献。结果表明,影响暴雨的水汽输送通道有三支,一支是沿西太平洋副高边缘东南气流的水汽输送,另一支是起源于南海北部向北偏东气流的水汽输送,第三支是西风带西北气流的水汽输送。第一类暴雨中,来自于西太平洋通道和南海通道的水汽输送大体相当,均很重要,两者可以占总水汽输送的87.4%。第二类暴雨中,水汽输送路径偏东,西太平洋通道的水汽输送贡献可达近70%。第三类暴雨中,虽然西太平洋通道水汽输送仍占主导地位,但北方通道的水汽输送也变得不可忽视。西太平洋通道的水汽沿途损失较小,并主要被输送到东北地区850 hPa及以下的大气之中,而南海通道的水汽沿途损失较多,与北方通道的水汽一样,主要被输送到东北地区850 hPa以上的大气之中。     

INVESTIGATIONS ON MOISTURE TRANSPORTS, BUDGETS AND SOURCES RESPONSIBLE FOR THE DECADAL VARIABILITY OF PRECIPITATION IN SOUTHERN CHINA

In the context of global warming, apparent decdal-interdecdal variabilities can be detected in summer precipitation in southern China. Especially around the 1990s, precipitation in South China experienced a phase transition from a deficiency regime to an abundance regime in the early 1990s, while the Yangtze River Valley witnessed a phase shift of summer precipitation from abundance to deficiency in the late 1990s. Pertinent analyses reveal a close relationship between such decadal precipitation shifts and moisture budgets, which is mainly modulated by the meridional component. This relationship can be attributed to large-scale moisture transport anomalies. Further, the HYSPLIT model is utilized to quantitatively evaluate relative moisture contributions from diverse sources during different regimes. It can be found that during the period with abundant precipitation in South China, the moisture contribution from the source of Indochina Peninsula-South China Sea increased significantly, while during the deficient precipitation regime in the Yangtze River Valley, moisture from local source, western Pacific and Indochina Peninsula-South China Sea contributed less to precipitation. It means some new features of relative moisture contributions from diverse sources to precipitation anomaly in southern China took shape after 1990s.     

不同插值方法对CORS高程时间序列的影响分析

在CORS站高程时间序列的研究中,当连续缺失较多数据时,插值显得尤为重要。为了较好地解决这个问题,本文尝试采用正交多项式拟合的方法,分别利用正交多项式拟合、拉格朗日和三次样条等插值方法对高程时间序列进行插值,并对不同方法的插值结果进行了分析比较,验证了正交多项式拟合的可行性及有效性。结果表明:在高程时间序列插值中,三次样条插值结果较差;连续缺失3个点及以下时,正交多项式拟合、拉格朗日插值结果均较好,插值效果相当;随着缺失点数量的增加,正交多项式拟合结果要优于另2种方法。