Conductivity of NaCl solution at 0.4–5.0 GPa and 25–500 °C

NaCI-H₂O is the most fundamental ternary system in geology. Until now, the measurements of electrical conductivity of NaCl solutions are still little at high pressures (> O.5 GPa) We measured the conductivity of 0.01 m NaCl solution at 0.4–5.0 GPa and 25-500°C. The results are consistent with that of Quist and Marshall (1968) at 0.4 GPa. The conductivity of NaCl solution increases with increasing temperature. The results also show that the conductivity of NaCl solution changes little with increasing pressure below 1.5 GPa and changes rapidly with increasing pressure above 1.5 GPa. The rapid increase of the conductivity of NaCl solution may play an important role in many geological processes (such as the genesis of ore deposits under hydrothermal condition) and other fields. Project supported by the National Natural Science Foundation of China.     

Transient foundation solution of saturated soil to impulsive concentrated loading

The transient dynamic response of saturated soil under suddenly applied normal and horizontal concentrated loading is studied in this paper. The behavior of saturated soil is governed by Biot's consolidation theory. The general solutions for Biot equations of equilibrium are derived in terms of displacements and variations of fluid volume, using Laplace–Hankel integral transforms. The solutions in the time domain can be evaluated by numerical inverse Laplace–Hankel transforms. Selected numerical results for displacements, stresses, and pore pressures are presented. Comparisons with existing closed-form solutions for the elastic half-space are made to confirm the accuracy of the present solutions. The solutions can be used to study a variety of transient wave propagation problems and dynamical interactions between saturated soil and structures.     

符号计算系统及其在测绘中的应用--以子午线弧长反解为例*

简要介绍了Mathematica及其它符号运算系统,并结合子午线弧长反解讨论了Mathematica在测绘中的潜在应用前景.     

自由网平差的经典方法及扩展应用

采用经典的最小二乘参数平差结果为一个特解,进而以坐标系定位参数为参数求出自由网的最小范数解。之后,以若干工程实例列举了除变形监测网以外的扩展应用。     

T市平面控制网的扩建及与1954北京坐标系的关系

本文论证了58T市独立坐标系与87T市独立坐标系的区别，使用T市扩建二等GPS网的平差成果，给出了87T市独立坐标系精确变换到1954北京坐标系的方法与参数。     

CASIO可编程计算器在线路施工测量中的应用

在线路施工测量中,利用Gauss-Legendre 5点通用公式,采用CASIO可编程计算器编制曲线任意里程中边桩三维坐标正反算程序,只需输入任意里程,即可提供线路该里程的设计中桩坐标和高程,又可通过反算得到任意测点对应的线路里程和偏距。     

Excel在GPS基线解算精度统计中的应用

GPS基线解算就是利用GPS观测值,通过数据处理,得到测站间的基线向量值。基线解算是GPS网平差的基础和关键,基线解算精度直接关系着GPS网的精度,所以,基线解算精度统计是一项很有必要的工作。Excel中大量的公式函数可以应用选择,主要用来进行有繁重计算任务的预算、财务、数据处理等工作,借助于Excel的数据筛选和条件格式功能,可以方便、高效、准确无误地进行GPS精度统计,这在GPS广泛大量使用的今天,有一定的现实意义。     

拟合推估新用——新逼近模式

作为拟合推估的新用之一，提出一种带有随机量的新逼近模式，将拟合推估的通行算法，去短取长，藉以推得良好的插值。     

偏微分方程数值解法在地学应用中的对比分析

在地学中广泛应用的偏微分方程数值解法有两种:有限差分法及有限单元法。对于定常态问题两种方法完全等价,对于非定常态问题有限单元法形成的代数方程归根到底仍是有限差分方程,但在一定条件下会引起反常问题,原因是与代数组相容的不是原来的热传导方程,而是反热传导方程。     

Extrusion movements of a tunnel head reinforced by finite length bolts—a closed‐form solution using homogenization approach

An analytical model on the general behaviour of a tunnel head, reinforced by finite length bolts is proposed. This model is based on the homogenization method and spherical symmetry assumption. Despite its simplicity, and in consequence its limits of validity, it does allow a quick estimation of the key design parameters: frontal displacement, extension of decompressed zone, ground stresses and bolt tension, and constitutes thereby a very useful and handy tool for design engineers. In particular, the influence of the reinforcement length, as well as other important design parameters, are studied by the proposed model. The charts resulting from the parametric studies are directly applicable. Otherwise, the comparison to a 3D numerical model is also presented in this paper. The first results provide the validation of the analytical solution, at least in terms of average extrusion movements. Copyright © 2000 John Wiley & Sons, Ltd.