Global height datum unification: a new approach in gravity potential space

The problem of “global height datum unification” is solved in the gravity potential space based on: (1) high-resolution local gravity field modeling, (2) geocentric coordinates of the reference benchmark, and (3) a known value of the geoid’s potential. The high-resolution local gravity field model is derived based on a solution of the fixed-free two-boundary-value problem of the Earth’s gravity field using (a) potential difference values (from precise leveling), (b) modulus of the gravity vector (from gravimetry), (c) astronomical longitude and latitude (from geodetic astronomy and/or combination of (GNSS) Global Navigation Satellite System observations with total station measurements), (d) and satellite altimetry. Knowing the height of the reference benchmark in the national height system and its geocentric GNSS coordinates, and using the derived high-resolution local gravity field model, the gravity potential value of the zero point of the height system is computed. The difference between the derived gravity potential value of the zero point of the height system and the geoid’s potential value is computed. This potential difference gives the offset of the zero point of the height system from geoid in the “potential space”, which is transferred into “geometry space” using the transformation formula derived in this paper. The method was applied to the computation of the offset of the zero point of the Iranian height datum from the geoid’s potential value W ₀=62636855.8 m²/s². According to the geometry space computations, the height datum of Iran is 0.09 m below the geoid.     

Numerical evaluation of the damping‐solvent extraction method in the frequency domain

The damping‐solvent extraction method for the analysis of unbounded visco‐elastic media is evaluated numerically in the frequency domain in order to investigate the influence of the computational parameters—domain size, amount of artificial damping, and mesh density—on the accuracy of results. An analytical estimate of this influence is presented, and specific questions regarding the influence of the parameters on the results are answered using the analytical estimate and numerical results for two classical problems: the rigid strip and rigid disc footings on a visco‐elastic half‐space with constant hysteretic material damping. As the domain size is increased, the results become more accurate only at lower frequencies, but are essentially unaffected at higher frequencies. Choosing the domain size to ensure that the static stiffness is computed accurately leads to an unnecessarily large domain for analysis at higher frequencies. The results improve by increasing artificial damping but at a slower rate as the total (material plus artificial) damping ratio ζ_t gets closer to 0.866. However, the results do not deteriorate significantly for the larger amounts of artificial damping, suggesting that ζ_t≈0.6 is appropriate; a larger value is not likely to influence the accuracy of results. Presented results do not support the earlier suggestion that similar accuracy can be achieved by a large bounded domain with small damping or by a small domain with larger damping. Copyright © 2002 John Wiley & Sons, Ltd.     

打桩挤土的现场试验研究及土体位移的计算公式

打桩挤土使周围土体发生位移,对周围其他桩及附近原有建筑物和基础设施产生破坏。本文通过典型工程打桩过程中的监测数据,运用小孔扩张理论结合回归分析方法导出了计算土体位移量的经验公式。运用该公式可定量预估挤土程度,防止意外事故的发生。     

垂线偏差时间变化的精度估计

对于利用Vening-Meinesz微分公式计算垂线偏差随时间变化的测定精度进行了初步估计。通过对地形改正项的影响、代表误差的影响、远区域重力异常的影响等3种主要误差的分析和实际估计，论证了它们对计算结果的综合影响不超过0.01″，比铅垂线的时间变化0.1″要高一个量级。因此认为重力方法在实践中是可行的。     

Gutenberg-Richter公式和灰色理论GM模型在地震预测中的联合应用

以华北地区 (33°～ 4 3°N ,10 9°～ 12 4°E)地震为例 ,用Gutenberg -Richter公式研究了地震均匀分布情况。结果表明 :自 1970年到 2 0 0 1年以来 ,本地区 2 0≤M <4 0的地震偏少、 4 0≤M <6 0的地震偏多、 6 0≤M<7 0的地震偏少、M≥ 7 0的地震偏多 ;然后择其将导致本地区较大社会影响、人员伤亡、经济损失的偏少地震——— 6 0≤M <7 0级地震进行灰色理论GM模型预测。通过上面的应用 ,使两理论优点在地震预测中得到结合 ,地震预测更有的放矢 ,预测结果更可信、更有效。     

流体在同心环状空间中流动时的压力损失

同心环状空间是工程上较常见到的流体流动空间，在此空间中流体流动情况的分析较复杂。工程上对其流动情况的分析常常是引用流体力学中的分析结果，但往往由于对环状空间结构的条件重视不够，引用时很容易出毛病。经过仔细推导分析，指出其应用条件，并有助于对同心环状空间中流体流动时压力损失的分析与计算     

Pall型摩擦阻尼支撑内力计算方法

从Pall摩擦阻尼器四连杆机构的几何非线性变形特征出发，分析框架位移、支撑刚度、阻尼器摩擦力、阻尼器大小、支撑倾角、支撑屈曲力等对一种改进的Pall摩擦阻尼器-T形芯板摩擦阻尼器支撑的受力特点，拟合出可供设计人员使用的实用计算公式。     

变降深抽水附近地下水非稳定运动的积分方程解

根据完整井变流量抽水附近地下水运动的解析解,利用积分方程的方法,推导出了水井水位降深以任意一种函数关系随时间变化时含水层中地下水非稳定运动积分方程形式的解,并提出了该积分解相应的近似计算方法.最后通过一个实例验证了该方法的实用性.     

高速公路沉降计算中e-lg p法修正探讨

利用已有的高速公路土工试验资料，通过大量的非线性有限元计算得出一个与路堤填筑高度及路基土体压缩系数相关的沉降综合修正式，使得单向 e-lgp 法的计算结果修正后能够考虑土体侧向变形。实例验证表明：经此式修正后的沉降值误差较小，不但比规范法更合理，而且与实测值以及有限元法结果很接近，具有一定的工程参考价值和借鉴意义。