山东铝厂碴场区潜水渗流场的趋势面分析

本文在简述碴场区环境条件的基础上。根据现场实测的潜水位和相应的地理坐标,用FORTRAN语言编制趋势面分析的计算机程序。建立碴场区潜水面趋势面方程,并用拟合优度值来确定最佳趋势面方程,最后得出结论:碴场污水下渗形成的局部潜水渗流场和区域南北向的潜水渗流场叠加,构成了碴场区近似以碴堆为中心向四周作辐射状运动的潜水渗流场。     

地下水径向辐射渗流单井排放诱发地壳形变的解析表达

本文把地下水径向辐射渗流单井排放诱发的地壳形变问题化为多孔弹性介质点源力诱发的平面应变问题来处理，利用多孔介质的本构方程和弹性半平面的Ｇｒｅｅｎ函数，在Ｓｅｇａｌｌ工作的基础上，导出了通过地下水水位降深Ｓ表达的地下水径向流排放诱发的地面垂直位移和水平位移的解析表达式。     

地下水非稳定流排放诱发地表位移的精密计算

基于地下水非稳定流Ｔｈｅｉｓ理论，导出了地下水非稳定径向辐射渗流单井排放诱发的地表位移的解析表达式，阐述了计算方案，并以２０个节点的Ｈｅｒｍｉｔｅ求积公式编制了相应的数值积分计算程序，给出了模拟计算实例。在地下水非稳定流场地区进行高精度动态大地测量时，可按照这一计算方法，精密顾及地下水排放所诱发的地壳形变对测站的影响。     

潜水含水层水压力传递的时效性

传统的渗流模型研究中，忽略了渗流场中水压力传递的时效性。本文针对潜水含水层井流问题，分析了井流场的特征。在前人研究的基础上，作者详尽地推导了上部入渗补给为常量情况下的降落漏斗半径和水压力传递速度与时间的关系式，并对某电厂水源地进行了计算。     

勒让德方程的解北大核心CSCD

勒让德方程两个线性无关的解,分别称为第一类和第二类勒让德函数。在微分方程取本征值情况下,第一类勒让德函数中断为多项式,因此自变量可取任意值(无穷大除外);第二类勒让德函数仍然为无穷级数,当自变量等于±1时发散,绝对值大于1时收敛。由于勒让德方程属于超比方程类型,给出此类型方程不同特殊函数的任意阶导数表达式。在此基础上直接给出第一类勒让德函数的超比表达式,及其与其他特殊函数的理论关系;鉴于求解第二类勒让德函数的复杂性,利用级数展开方法,直接给出第二类勒让德函数的超比表达式。     

关于奇异线性模型最好线性无偏估计的计算

讨论了奇异线性模型最好线性无偏估计(BLUE)的计算问题。利用分块求逆的技术，给出BLUE的一种新的表达式，其计算量比直接利用C．R．Rao所给公式的小。对新表达式的计算，给出半正定矩阵广义逆的分块求逆算法及消去变换算法。     

不同地下水流系统模式渗流场和温度场的互相影响

在地热资源丰富的地区,需要研究不同地下水流系统发育模式下渗流场和温度场的互相影响。基于二维潜水盆地多源汇的数值模拟和室内砂箱实验,改变降雨入渗强度,通过砂箱底部加温研究上下边界不同温度差条件下的渗流场和温度场的变化。研究结果表明：(1)随着降雨入渗强度加大,地下水流速增大,地下水流系统由单一区域系统向复杂的局部+区域、局部+中间+区域多级嵌套系统转化,水流对温度的再分配影响变大;(2)补给区等温线受下降水流影响下移,排泄区等温线受上升水流影响上抬,其中区域补给区和区域排泄区温度变化幅度最大;(3)砂箱底部加热后,含水层潜水面下降,地下水流速增大,流线循环深度整体变大,滞留带范围缩小。温度差是地热丰富地区的地下水流系统研究中不可忽视的驱动力。     

无压含水层非稳定流诱发地壳形变的定量计算

基于无压含水层迟后疏干的Ｂｏｕｌｔｏｎ理论，导出了地下水无压含水层完整井非稳定流单井排放诱发的地表位移的解析表达式，讨论了公式的计算方案，给出了模拟计算实例。     

断层相互作用的初步讨论

给出了半无限介质中任意倾角的多个已发震矩形断层对邻近任意倾角的潜在活断层共同作用的合应力的解析表达式，从而可以计算震后合应力的调整值，为判断潜在活断层的稳定性提供依据。合应力Ｓｒ中既包括了作用在断层面上的正应力，又包括了断层面上的剪应力，它比单独用一个应力描述应力场更有效。最后，用１９７３年２月６日炉霍地震后的实际震例说明了地震断层错动对周围孕震区的触发作用     

利用重复方向观测值求剪切应变时的方差—协方差矩阵

本文讨论了三角网中利用重复方向观测值求剪切应变分量时的方差—协方差矩阵,指出在同一测站上的角度变化值有三种协方差,给出了相应的表达式。     

Active earth pressure acting on retaining wall considering anisotropic seepage effect

This paper presents a general solution for active earth pressure acting on a vertical retaining wall with a drainage system along the soil-structure interface. The backfill has a horizontal surface and is composed of cohesionless and fully saturated sand with anisotropic permeability along the vertical and horizontal directions. The extremely unfavourable seepage flow on the back of the retaining wall due to heavy rainfall or other causes will dramatically increase the active earth pressure acting on the retaining walls, increasing the probability of instability. In this paper, an analytical solution to the Laplace differential governing equation is presented for seepage problems considering anisotropic permeability based on Fourier series expansion method. A good correlation is observed between this and the seepage forces along a planar surface generated via finite element analysis. The active earth pressure is calculated using Coulomb’s earth pressure theory based on the calculated pore water pressures. The obtained solutions can be degenerated into Coulomb’s formula when no seepage exists in the backfill. A parametric study on the influence of the degree of anisotropy in seepage flow on the distribution of active earth pressure behind the wall is conducted by varying ratios of permeability coefficients in the vertical and horizontal directions, showing that anisotropic seepage flow has a prominent impact on active earth pressure distribution. Other factors such as effective internal friction angle of soils and soil/wall friction conditions are also considered.     

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边界元法在地下水补给量计算中的应用

本文是边界元法在地下水补给量计算中应用的一次尝试,它成功地把边界元法应用到考虑有垂向补给或排泄的实际水文地质问题中。文中详细地推导了考虑有垂向补给或排泄均质各向同性承压含水层非稳定流边界元法的计算公式,结合长春市八里堡群井开采试验的水位观测资料计算了河流边界的补给量;分析了目前边界元法在水文地质计算中出现的时间积分和面积积分问题,在这两个问题的解决上做了些改进;结合简单水文地质模型给出了边界元法的精确度。     

矩形含水层井流模型求解的软件实现

矩形含水层井流模型的求解过程比较繁琐,计算工作量较大,而且容易出错,而利用计算机编程技术可使求解变得极为简单、快捷,从而极大地提高工作效率。该文以矩形隔水边界承压井流模型为例,研究了实现软件求解该类问题的思路。     

Analytical solution of boundary integral equations for 2-D steady linear wave problems

Based on the Fourier transform, the analytical solution of boundary integral equations formulated for the complex velocity of a 2-D steady linear surface flow is derived. It has been found that before the radiation condition is imposed, free waves appear both far upstream and downstream. In order to cancel the free waves in far upstream regions, the eigenso-lution of a specific eigenvalue, which satisfies the homogeneous boundary integral equation, is found and superposed to the analytical solution. An example, a submerged vortex, is used to demonstrate the derived analytical solution. Furthermore, an analytical approach to imposing the radiation condition in the numerical solution of boundary integral equations for 2-D steady linear wave problems is proposed.     

压裂水平井渗流理论研究进展

系统地回顾了压裂水平井渗流理论发展历程,国外对压裂水平井的研究趋向于建立数学模型,利用源函数、三线性流模型及数值方法进行求解;国内对压裂水平井的研究重点在于分析压裂水平井产能特征。同时,还对国内压裂水平井产能分析方法,包括裂缝势函数分布法、保角变换法、裂缝离散法、当量(等效)井径法、源函数及格林函数法进行了分类总结,简要评述了各种方法的优缺点。最后分析了压裂水平井渗流理论研究中存在的各种问题,并在此基础上指出了压裂水平渗流理论的发展趋势。      

Homotopic Mapping Solving Method for Perturbed Mechanism of Western Boundary Undercurrents in Equator Pacific

1 Introduction The western boundary currents, counter undercurrents observed in the thermocline were studied in many ref- erences (Qu et al., 1997; Wang and Hu, 1998; Huang, 1991). The existence of the western boundary undercur- rents suggests the baroclinity of western boundary cur- rents, so the results of the study on their baroclinic structure and dynamics should have strong bearing on the baroclinic theory of oceanic circulation. However, be- cause of their late discovery, the baroclini…     

大地测量边值问题平面解与有限富氏分析

采用三维直角坐标下的分离变量法可以导出大地测量边值问题平面解,使用有限富氏分析可以计算大地测量边值问题中的多种卷积。本文揭示了二种方法的内在联系,表明有限富氏分析仅仅是大地测量边值问题平面解的一种特例,大地测量边值问题平面解可以更直观地解释有限富氏分析。     

富水断层非标准三角堰测法流量计算方法及工程应用

公路、铁路、水利水电、矿山等隧道工程建设和运营过程中,不可避免地会遭遇塌方、突涌水等地质灾害问题,围岩失稳破坏和渗流突变是发生突水的直接原因。为查明龙南隧道F₈富水断层洞身范围涌水来源及其涌水量的大小,采用非标准三角堰测法结合矩形堰测法现场监测F₈断层地表上、下游流量。本研究提出非标准三角堰测法的基本概念,并根据标准三角堰测法流量公式,结合流量的等效原理,推导出了非标准三角堰测法流量公式。通过理论与实测数据进行比较,证明了本公式的合理性。研究结果表明,非标准三角堰测法流量公式的推导为现场流量实测提供了方便,克服了标准三角堰测法公式适用范围不足的缺点,为分析断层破碎带洞身围岩范围内涌水量大小提供了可靠依据。      

A new arrangement with nonlinear sidewalls for tanker ship storage panels

Sloshing phenomenon in a moving container is a complicated free surface flow problem. It has a wide range of engineering applications, especially in tanker ships and Liquefied Natural Gas (LNG) carriers. When the tank in these vehicles is partially filled, it is essential to be able to evaluate the fluid dynamic loads on tank perimeter. Different geometric shapes such as rectangular, cylindrical, elliptical, spherical and circular conical have been suggested for ship storage tanks by previous researchers. In this paper a numerical model is developed based on incompressible and inviscid fluid motion for the liquid sloshing phenomenon. The coupled BEM-FEM is used to solve the governing equations and nonlinear free surface boundary conditions. The results are validated for rectangular container using data obtained for a horizontal periodic sway motion. Using the results of this model a new arrangement of trapezoidal shapes with quadratic sidewalls is suggested for tanker ship storage panels. The suggested geometric shape not only has a maximum surrounded tank volume to the constant available volume, but also reduces the sloshing effects more efficiently than the existing geometric shapes.