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1.
本文采用辅助函数的思想,利用复变函数和多级坐标的方法给出了SH波入射条件下多个半圆形沉积谷地附近浅埋圆形孔洞动力分析问题的解答。将整个求解区域分割成两部分来处理,区域I为多个半圆形沉积谷地,区域II为浅埋圆形孔洞附近带半圆形凹陷的半无限弹性空间。在区域I和II中分别构造位移解,并在二个区域的“公共边界”上实施位移应力的连续条件,建立求解该问题的无穷代数方程组。最后,本文给出了算例和数值结果,并对其进行了讨论。  相似文献   

2.
本文给出了地下圆形衬砌结构与地面上的半圆形凸起地形对垂直于地面入射的SH波散射问题的解答。方法是将求解区域分割成两部分。其一为包含半圆形凸起地形在内的圆形区域Ⅰ,其二为带有一个半圆形凹陷和一个圆形衬砌结构的弹性半空间Ⅱ,半圆形凹陷部分为其公共边界,在区域Ⅰ和Ⅱ中分别构造其位移解,然后再通过移动坐标,使其满足“公共边界”上的条件和地下衬砌的边界条件,建立起求解该问题的无穷代数方程组。最后,本文给出了算例,并讨论了数值结果,给出了圆形衬砌结构周边上的动应力集中系数变化规律。  相似文献   

3.
半无限空间中圆形孔洞周围SH波的散射   总被引:14,自引:5,他引:14  
建立了求解在含有圆形孔洞的弹性半空间中SH波散射与圆形孔洞附近动应力集中问题的解析方法。利用SH波散射的对称性和多极坐标的方法,构造了一个可以预先满足半空间自由表面上应力自由边界条件的圆形孔洞对SH波散射的波函数。利用这一波函数,则可将该问题转化成对一个圆形孔洞散射的求解问题。该问题的解答最终又可归结为对一组无究代数方程组的求解问题,并可利用截断有限项的方法对其进行计算,最后给出了有关圆形也洞附近动应力集中问题的算例和数值结果,并讨论了波数与圆孔至自由边界距离变化对动应力集中的影响。  相似文献   

4.
SH波对圆弧形凸起地形的散射   总被引:20,自引:3,他引:17  
本文采用“契合”的方法,给出了一个求解平面SH波对圆弧形凸起形散射的新方法。利用包括圆绵形凸起上边界线在内的一个圆域中预先构造的满足凸起边界应力为零。其余边界应力待定的级数解和其余下的具有圆弧形凹陷的半空间中的解答。通过在其结合面上完成“契合”的过程中分别确定出圆域和半空间听解答。给出了问题的最终结果。利用上述方法,问题的求解仍归结为对一个无穷代数方程组的求解。最后,本文给出了数值结果并对其进行了  相似文献   

5.
SH波入射时等腰三角形与半圆形凸起地形的地震动   总被引:2,自引:0,他引:2  
利用复变函数和移动坐标研究了等腰三角形凸起和半圆形凸起地形对SH波的散射.首先将求解区域分为三个部分,区域I为一个带有半圆形弧线的等腰三角形区域,区域II为含有两个半圆形凹陷的弹性半空间,区域III为包括半圆形凸起在内的圆形区域.在区域I中构造满足在腰三角形斜边上应力自由的驻波函数WA,在区域II中分别构造两个半圆形凹陷的散射波WB和WC,且两者均预先满足水平界面上应力为零的边界条件,在区域III构造一个上半部边界应力为零,而其余部分位移、应力任意的驻波函数.将所研究的问题转换成一个求解满足在"公共边界"上位移应力连续的问题.可利用坐标移动方法,通过傅立叶级数展开,建立该问题代数方程组,并采用截断有限项的方法对其进行求解.最后,给出了一个算例.  相似文献   

6.
线源荷载对半圆形凸起圆形夹杂附近浅埋圆孔的动力作用   总被引:1,自引:0,他引:1  
采用复变函数法和Green函数法研究了在水平界面承受出平面线源荷载时弹性半空间内半圆形凸起的圆柱形弹性夹杂对浅埋圆孔的动力作用.该问题采用“分区”、“契合”思想求解.首先,将整个求解区域分割成两部分,其一为含半圆形凹陷和圆孔的弹性半空间,其二为圆柱形弹性夹杂;其次,构造满足含半圆形凹陷半空间水平界面应力自由和圆孔边界应力自由的散射波,构造满足圆形夹杂上半表面应力自由下半表面应力连续条件的驻波和散射波;最后,在两个区域的“公共边界”上实施“契合”,满足公共边界处位移和应力的连续性条件,同时满足圆孔边界应力自由的边界条件,建立起求解该问题的无穷代数方程组,并就具体算例分析讨论了浅埋圆孔边缘动应力集中系数(DSCF)的数值结果.结果表明:圆柱形弹性夹杂的“软”、“硬”对浅埋圆孔孔边动应力集中系数有不同的影响.  相似文献   

7.
SH波入射时半圆形凸起与凹陷地形的地震动   总被引:2,自引:0,他引:2  
研究了弹性半空间中半圆形凸起与凹陷相连地形对SH波的散射问题。将整个求解区域分割为2部分,在其中分别构造满足边界条件的位移解,通过移动坐标使之满足“公共边界”以及半圆形凹陷表面上的边界条件,从而建立起求解该问题的无穷代数方程组。最后,给出了地表位移幅值的数值结果以及凸起地形顶点和凹陷地形最低点处位移幅值的反应谱并进行了讨论。  相似文献   

8.
文中使用"契合"、复变函数法和移动坐标的方法,给出了SH波入射条件下多个含孔半圆形凸起地形附近多个浅埋圆形孔洞动力分析问题的解答.将模型分成两个区域,在区域Ⅰ和区域Ⅱ中分别构造波函数,最后在两个区域的公共边界上实施"契合",即满足两个区域的公共边界上位移、应力的连续条件.通过算例给出了浅埋圆孔动应力与入射波数、入射波角度的变化规律.  相似文献   

9.
SH波对浅埋圆柱形弹性夹杂附近多个半圆形凸起的散射   总被引:1,自引:0,他引:1  
利用复变函数及移动坐标法建立了多个半圆形凸起及附近浅埋弹性夹杂对SH波散射问题的解析方法.求解时将整个求解模型进行分区,区域I为包括多个半圆形凸起在内的多个圆形区域;区域II包括多个半圆形凹陷和1个圆柱形弹性夹杂.然后在两个区域内分别构造满足边界条件的位移解.最后,根据连接面的契合条件,利用移动坐标法将两个区域在公共边界上装配起来,同时考虑弹性夹杂的边界条件,建立起求解该问题的无穷代数方程组.通过算例,讨论了凸起间距,夹杂埋深等参数对地表位移幅值的影响.  相似文献   

10.
陈志刚 《地震学报》2015,37(4):617-1244
本文采用复变函数方法研究了稳态水平剪切波(SH波)在各向异性弹性半空间中任意形状孔洞上的散射及其对地面运动的影响.在变换空间中构造出自动满足各向异性半空间水平表面上应力为零的散射波函数,并根据孔洞表面应力为零的边界条件,采用最小二乘法求解散射波函数的系数.用介质的各向异性性质来模拟地质条件,给出了SH波作用下含圆孔、椭圆孔和方孔的各向异性半空间表面位移幅值的数值结果,并分析了介质特性、孔洞的形状、埋深、入射波波数及入射角度等因素对地面运动的影响规律.数值结果表明:介质的各向异性对含有孔洞的半空间表面的地表位移具有显著的影响;沿一定角度的入射波在某一频段内所引起的地表位移幅值比各向同性介质的可能要大,且随着孔洞埋深的增加,地表位移的幅值逐渐减小.   相似文献   

11.
A guided wave along a borehole is often observed in borehole radar measurements. These guided waves deform the antenna pattern and can cause artefacts in radar measurements. A water-filled borehole or a conducting logging cable can function as a waveguide for electromagnetic waves under some conditions. We describe the theoretical characteristics of such a guided wave in a borehole and compare them with our experiments. The measured signal discussed was obtained with a directional borehole radar. This radar uses a cylindrical conformal array antenna as receiver and is a model of a conducting structure in a borehole. The induced field around the borehole was compared with the theory. The most fundamental symmetrical and asymmetrical modes were TM01 and HE11, and they were identified in the measured signals using time–frequency distribution analysis and by observation of the azimuthal field distribution of the magnetic field.  相似文献   

12.
Steady flow to a well near a stream with a leaky bed   总被引:2,自引:0,他引:2  
Bakker M  Anderson EI 《Ground water》2003,41(6):833-840
We present an explicit analytic solution for steady, two-dimensional ground water flow to a well near a leaky streambed that penetrates the aquifer partially. Leakage from the stream is approximated as occurring along the centerline of the stream. The problem domain is infinite and pumping on one side of the stream induces flow on the other side. The solution includes the effects of uniform flow in the far field and a sloping hydraulic head in the stream. We use the solution to investigate the interaction between ground water and surface water in the stream, the effects of pumping on the opposite side of the stream, and the effects of the leaky streambed on the capture zone envelope of the well. We develop a relationship between parameters such that the pumping well will not capture water from the stream, or from the opposite side of the stream. When the discharge of the well is large enough to capture water from the stream, the shape of the capture zone envelope depends on flow conditions on the side of the stream opposite the well.  相似文献   

13.
At present, substantial scientific research achievements have been made in the research on landslide occurrence, movement mechanism, mitigation measures, and structural stability during tunnel excavation. However, the interaction mechanism of a tunnel under-traversing a slope body with potential landslides is still not well understood. Based on the field data provided by previous investigations in the study area, six sets of 1:100 laboratory experiment model tests were conducted to study the stability of the landslide-prone zone of the slope body with an under-traversing tunnel. The selected distances between the tunnel and the sliding surface are 1.5, 3, and 5 times of the tunnel diameter, respectively. The experiment results show the interaction between the landslide-prone zone and the tunnel, elucidating the effect of potential landslides during the tunnel excavation process and the reaction of the landslide slip on the tunnel structure. Several conclusions are obtained: ① During the process of tunnel excavation, the vertical displacement of the tunnel vault decreases with the increase of the buried depth. ② The vertical displacement of the sliding surface increases with the increase of the buried depth of the tunnel. The horizontal displacement of sliding surface decreases with the increase of the buried depth. ③ After the occurrence of a rainfall-induced landslide, the vertical displacement of the tunnel vault in the 1.5-diameter-distance case is 57.29% greater than that in the 3.0-dismeter-distance case.④ For a two-cave tunnel, it is suggested that the cave farther from the landslide toe should be firstly excavated since it may generate less structural deformation.  相似文献   

14.
In order to investigate the hydrologic response of a green roof system within the urban environment, a monitoring campaign is carried out at the green roof site of the University of Genova (Italy). Experimental data confirm that the green roof is able to significantly mitigate the generation of runoff with median values of retained volume and peak reduction, respectively, equal to 94 and 98%. A conceptual linear reservoir and a simple mechanistic (Hydrus‐1D) models are implemented to simulate the hydrologic behaviour of the system; each model is calibrated and validated based on experimental data collected at the green roof site. The hydrographs simulated with both hydrologic models reproduce with acceptable matching capabilities the experimental measurements, as confirmed by the Nash‐Sutcliffe Efficiency index generally greater than 0·60. Although the relative percentage differences evaluated for the selected hydrograph variables (the total effluent volume, the peak flow rate and the hydrograph centroid) demonstrate that the mechanistic model is more accurate, prediction errors of the conceptual model are generally limited when compared with the observed hydrologic performance. Results of the present comparison are useful in supporting conceptual model selection in case the hydrologic response is addressed for hydrologic performance assessment. Copyright © 2011 John Wiley & Sons, Ltd.  相似文献   

15.
One of the aims of sewer networks is the protection of population against floods and the reduction of pollution rejected to the receiving water during rainy events. To meet these goals, managers have to equip the sewer networks with and to set up real-time control systems. Unfortunately, a component fault (leading to intolerable behaviour of the system) or sensor fault (deteriorating the process view and disturbing the local automatism) makes the sewer network supervision delicate. In order to ensure an adequate flow management during rainy events it is essential to set up procedures capable of detecting and diagnosing these anomalies.

This article introduces a real-time fault detection method, applicable to sewer networks, for the follow-up of rainy events. This method consists in comparing the sensor response with a forecast of this response. This forecast is provided by a model and more precisely by a state estimator: a Kalman filter. This Kalman filter provides not only a flow estimate but also an entity called ‘innovation’. In order to detect abnormal operations within the network, this innovation is analysed with the binary sequential probability ratio test of Wald. Moreover, by crossing available information on several nodes of the network, a diagnosis of the detected anomalies is carried out. This method provided encouraging results during the analysis of several rains, on the sewer network of Seine-Saint-Denis County, France.  相似文献   


16.
Summary The problem of diffraction of compressional waves by a rigid barrier of finite height fixed in a liquid half space has been studied. Wiener-Hopf technique forms the basis of the methods used to solve the problem. Exact solutions have been obtained in terms of Fourier integrals whose evaluation along an appropriate contour gives the transmitted, reflected and diffracted waves. The diffracted waves decay rapidly away from the barrier.  相似文献   

17.
18.
Provisions are determined for matching the thermostating temperature with the heater temperature as well as for installing a sensor depending on the position of the heater. The results of theoretical analysis and comparative assessment of three specifications of thermostats intended for use in geophysical equipment are considered. It is shown that, if the outside temperature changes in a few tens of degrees, two of the three specifications are able to ensure consistent thermostating temperature with an error rate not exceeding 0.010°C. According to the experiment, a “hybrid” two-step thermostat maintains the temperature with an error rate of about 0.002°C on the condition that the outside temperature changes within 10°C.  相似文献   

19.
Measurements of micrometeorological variables were made for a complete annual cycle using an automatic weather station and two energy budget–Bowen ratio systems at a field site adjacent to the Santa Cruz River in southern Arizona. These data were used to provide the basis of an estimate of the evaporation from a one-mile long losing reach of a riparian corridor in this semi-arid environment. A remotely sensed map of vegetation cover was used to stratify the corridor into five categories of surface cover. The total evaporation was calculated as the area-weighted average of the measured evaporation for sampled areas of the two most common covers, and appropriate estimates of evaporation for the less common covers. Measurements showed a substantial, seasonally dependent evaporation from the taller, deep-rooted riparian cover in the study reach, while the short, sparse vegetation provided little evaporation. In terms of the volume of water evaporated from the study reach, the evaporation from irrigated agriculture accounts for almost half of the total loss, while the majority of the remaining evaporation is from the taller riparian vegetation covers, with about one-quarter of the total loss estimated as coming from obligatory phreatophytes, primarily cottonwood. © 1998 John Wiley & Sons, Ltd.  相似文献   

20.
Kaftar Lake is a high‐altitude fresh water lake located in High Zagros, south of Iran. Despite the high annual evaporation to precipitation ratio in the area, lake water electrical conductivity is usually lower than 1000 µS/cm, this may be due to high seepage from the floor of the lake. Therefore, the hypothesis of possible underground connections between Namdan Basin, where the lake is located, and the surrounding basins with lower elevation (Aspas and Dehbid Basins) was investigated. Hydrogeology, hydrochemistry, and stable isotopes data of the lake and surrounding basins along with the lake water balance study were applied to test the hypothesis. Results indicate that Kaftar Lake has no connection with Aspas Basin in south, but it is hydraulically connected to Dehbid Basin. In Dehbid Basin, “Ghasr_e_Yaghoob spring” (average discharge ?1200 L/s) emerges from a small outcrop (about 0.8 km2) of Daryan limestone Formation, where this outcrop is much smaller than the required recharge area for such average discharge rate. The study shows that this spring is recharged by Kaftar Lake and Namdan Basin aquifer, through Daryan Formation of Gandboee Syncline located to the northern part of the lake.  相似文献   

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