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1.
Extended precise integration method for axisymmetric thermo‐elastic problem in transversely isotropic material 
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下载免费PDF全文 This paper presents a numerical solution for the analysis of the axisymmetric thermo‐elastic problem in transversely isotropic material due to a buried heat source by means of extended precise integral method. By virtue of the Laplace–Hankel transform applied into the basic governing equations, an ordinary differential matrix equation is achieved, which describes the relationship between the generalized stresses and displacements in transformed domain. An extended precise integration method is introduced to solve the aforementioned matrix equation, and the actual solution in the physical domain is acquired by inverting the Laplace–Hankel transform. Numerical examples are carried out to demonstrate the accuracy of the proposed method and elucidate the influence of the character of transverse isotropy, the anisotropy of linear expansion coefficient, the anisotropy of thermal diffusivity, and medium's stratification on the thermo‐elastic response. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
2.
We develop a new numerical model based on a precise integration method to investigate the coupled thermo-mechanical performance of layered transversely isotropic media around a cylindrical/tubular heat source. To obtain the relational matrices of the extended precise integration method, we first convert the governing equations of the problem into ordinary differential matrix equations through the Laplace–Hankel transform. Then, the cylindrical heat source is divided into a series of plane heat sources, and the plane temperature load term is added to the state vector between layer elements. By combining the layer elements, we build a layered transversely isotropic numerical model containing a cylindrical heat source in the transformed domain. Finally, we solve the model in the transformed domain and obtain the solution of the problem in the real domain through the Laplace–Hankel transform inversion. The accuracy of this method is verified by comparing the solutions with the results of the analytical method and the finite element method. Then, we study the influence of the anisotropy of thermal parameters, the embedded depth, the length/radius ratio, the type of heat source and the stratification of the medium on the thermo-mechanical coupled performance.
相似文献3.
Normalized, coupled governing equations for one-dimensional thermal consolidation problems are established. The non-dimensional coefficients of thermal consolidation and thermal diffusivity are defined accordingly. An analytical solution is deduced by using the Laplace transform and the Gauss–Legendre method of Laplace transform inversion. The responses of saturated porous media subjected to cyclic thermal loading are studied. The evolution of temperature, pore pressure and displacement from instantaneous state to quasi-steady state, with elapsed time, are analysed. The characteristics of cyclic fluctuation and the attenuation of the field variables with increased depth are also analysed. The influences of the permeability of media on thermal responses are discussed. 相似文献
4.
非饱和土是地球表层土体一种常见的存在形式。与经典的饱和土Biot固结理论相比,非饱和土固结理论还亟待发展。基于Fredlund非饱和土双应力变量固结理论,放弃传统理论固结过程中骨架总应力不变的假设,推导出变荷载作用下非饱和土全耦合轴对称固结理论的控制方程组。通过Laplace-Hankel变换处理变量t和r,所得的控制方程被处理为常微分方程组;扩展的精细积分法将被进一步运用求解方程组以得到层状非饱和土地基在变换域内的固结解答,而最终的解答将通过Laplace-Hankel逆变换技术求得。将非饱和土地基退化为饱和土地基,与现有文献结果进行对比,验证所提方法结果的可靠性;最后,提供3个数值算例,以讨论加载时间T0、孔隙水关于净应力的体积变化系数m1w以及土体分层性对非饱和土固结特性的影响。 相似文献
5.
Hauke Marquardt Steffen Ganschow Frank R. Schilling 《Physics and Chemistry of Minerals》2009,36(2):107-118
Knowledge of heat transport properties as a function of mineral- and rock-composition and temperature is of major relevance
to understand and model heat transfer in the Earth’s interior. A systematic study on 13 natural and 4 synthetic garnets was
carried out in an attempt to obtain a better systematic understanding of the processes that affect the heat transport in minerals,
especially the effect of chemical substitution in solid solution series. It is found that substitution significantly lowers
the thermal diffusivity from end-member values for both synthetic and natural garnets with a minimum of thermal diffusivity
at an intermediate composition. The thermal diffusivity as a function of the degree of substitution can be described by the
approach of Padture and Klemens (J Am Ceram Soc 80 (4):1018–1020, 1997). With increasing temperature the thermal diffusivity decreases due to phonon-phonon-scattering effects. A quantitative analysis
of the high-temperature behaviour was carried out by using the model of Roufosse and Klemens (J Geophys Res 79 (5):703–705,
1974), which takes a lower limit of thermal diffusivity at elevated temperatures into account. The model allows for an extrapolation
of the deduced room temperature thermal diffusivities to higher temperatures. Furthermore, the model was modified to determine
the high temperature limit of the thermal diffusivity for all investigated natural garnets D
min to be 0.64 ± 0.03 mm2/s. 相似文献
6.
A general solution scheme is developed for one-dimensional and non-isothermal consolidation problems for fluid-saturated, porous, thermoelastic media. Two fundamental parameters which describe the coupling effects between thermal, hydraulic and mechanical behaviour are: ratio of thermal and hydraulic diffusivity and ratio of thermomechanical deformabilities in drained and undrained conditions. The solution scheme has been applied to the nuclear waste disposal problem. A solution for a thermoporoelastic rock mass containing a decaying heat source is presented. Numerical results show that coupling effects are most pronounced for low permeability and high porosity media such as deep compressible clays. This corresponds to a low value of the ratio of hydraulic and thermal diffusivities and a high value of the ratio of deformabilities in drained and undrained conditions. Comparison with numerical simulations taking into account the non-linear and non-reversible behaviour of the rock mass is presented. It shows that the thermoelastic model is quite correct for temperature and displacement fields, and gives maxima of the pore pressure and stress elevations. 相似文献
7.
Heat transport in serpentinites 总被引：1，自引：0，他引：1
The thermal transport properties thermal conductivity and thermal diffusivity were examined for a variety of serpentinites as a function of temperature at ambient pressure. The thermal transport properties of serpentinites show an extraordinary behavior. Besides the common 1/T decrease in thermal transport properties with increasing temperature, which can be related to an increase in phonon–phonon interactions with increasing temperature, an oscillation of thermal conductivity is observed with maxima around 450 and 850 K. This oscillation is linkable to water release of surficially bounded water and water in pores (450 K) and the dehydration of serpentinite (850 K). The oscillations are explained by advective heat transfer during dehydration, reaching up to 30% of the overall heat transport. The dehydration of serpentinites was examined by XRD and Thermo-Gravimetry and Differential Thermal Analysis/Differential Scanning Calorimeters (TG/DSC) investigations, indicating that the dehydration reaction is kinetically hindered and the crystallization of the product phases are observed at ≈1060 K, more than 200 K above the equilibrium of dehydration reactions. The conductive heat transfer by phonons shows a minor temperature variation and dominates thermal diffusivity. Ultrasonic sound velocities as a function of temperature [J. Geophys. Res. 102 (1997) 3051] were used to derive the mean free path length of phonons, which decreases from 0.28 to 0.2 nm at high temperatures. This is in the same order of magnitude as the interatomic distance of O–O, Al–O and Si–O restricting the minimum distance for phononic movement. A high anisotropy in thermal transport properties of single crystallites is concluded from its structure and elastic behaviour. However, the examined samples are macroscopically isotropic. The pressure and temperature dependence of conductive heat transport of an average serpentinite is given by λ=(1/(A+BT))(1+βP) W/m K, with A=0.3638 m K/W, B=0.000244 m/W and β=0.148 GPa−1. 相似文献
8.
完善的渗透各向异性模型有助于指导地下建筑施工期和运营期的排水注浆方案的选定,为了建立完善的渗透各向异性模型,利用三轴渗透仪对高岭-蒙脱混合黏土开展一系列渗透试验,并从宏观和微观两个角度尝试建立渗透各向异性模型。研究结果表明：随着膨润土掺入量增加,混合黏土中小孔隙含量不变,中孔隙含量增多,而大孔隙含量减少;随着固结应力的增大,混合黏土中孔隙均减少,且孔隙最大孔径减小;宏观参数孔隙比和液限孔隙比与渗透各向异性比之间的规律性较弱,说明孔隙比和液限孔隙比不是决定渗透各向异性比的关键参数;用微观参数表述的渗透各向异性模型有较强的规律性,说明从微观角度探究渗透各向异性模型不仅可行,而且更能揭示混合黏土渗透各向异性的本质,且微观参数模型中,用能反映较大孔隙变化的孔径指数 ～ 表述的渗透各向异性模型相关性最好。 相似文献
9.
The engineering applications of energy piles, geological radioactive waste disposals, and mining wells of geothermal and petroleum are usually associated with strong coupled behaviour of consolidation and heat flow. This paper aims to present an efficient precise integration technique (PIT) for the analysis of such behaviour within layered saturated soils surrounding cylindrical heat sources (ie, with a cross section as a point, ring, or disc). Each soil layer, together with its embedded part of heat source, is divided into 2N layer elements with equal thickness. Then any pair of adjacent two layer elements are merged into a heat source on the interface. With the aid of Taylor series expansion and recurrence formula for adjacent layer elements combination, such problems can be solved by means of an improved PIT. Typical examples are performed to examine the effects of heat source type and soils layered properties on the coupled consolidation and heat flow responses. The elevation of the clay surface increases with time because of thermal expansion and reaches a peak value before showing a tendency of getting stabilised because of the dissipation of pore pressure becoming dominant. Such a peak cannot be achieved in sand case because of no accumulation of pore pressure. The influencing area of the heat source was found to be limited to near the source. These quantitative results serve as good verification of the presented technique, which proves to be remarkably efficient and several orders more accurate than traditional numerical techniques in that it ideally reaches the accuracy limit of the hardware of the computers used. 相似文献
10.
城市区域热辐射方向性研究进展 总被引：2，自引：1，他引：1
城市是陆地生态系统中极为重要的地表覆盖类型,把握其热辐射特征对于研究城市地表能量平衡和城市热岛具有积极的意义.相对于自然地表,城市区域表现出更为显著的热辐射方向特征,但这方面的研究直到近年来才开始发展起来.对城市区域的航空遥感和地表观测试验均揭示,城市区域热辐射方向性与太阳-地面目标-传感器几何关系、城市形态与结构、地面目标物理性质等密切相关.同时,为描述城市区域热辐射方向性,辐射温度三维格局模型、几何模型以及辐射传输模型都相继建立起来.从热辐射方向性的试验观测、模型建立及其与城市热岛关系等角度入手,系统回顾了城市区域热辐射方向性的研究进展,并对已经取得的研究成果进行了总结.最后,指出了尚待解决的问题及今后应着重研究的方向. 相似文献
11.
Consolidation of a poroelastic half-space with anisotropic permeability and compressible constituents by axisymmetric surface loading 总被引：1，自引：0，他引：1
The fully coupled Biot quasi-static theory of linear poroelasticity is used to study the consolidation of a poroelastic half-space
caused by axisymmetric surface loads. The fluid and solid constituents of the poroelastic medium are compressible and its
permeability in the vertical direction is different from its permeability in the horizontal direction. An analytical solution
of the governing equations is obtained by taking the displacements and the pore pressure as the basic state variables and
using a combination of the Laplace and Hankel transforms. The problem of an axisymmetric normal load is discussed in detail.
An explicit analytical solution is obtained for normal disc loading. Detailed numerical computations reveal that the anisotropy
in permeability as well as the compressibilities of the fluid and solid constituents of the poroelastic medium have significant
effects on the consolidation of the half-space. The anisotropy in permeability may accelerate the consolidation process and
may lead to a dilution in the theoretical prediction of the Mandel-Cryer effect. The compressibility of the solid constituents
may also accelerate the consolidation process. 相似文献
12.
Axisymmetric thermal consolidation of multilayered porous thermoelastic media due to a heat source 下载免费PDF全文
下载免费PDF全文 This paper presents an analytical layer element solution to axisymmetric thermal consolidation of multilayered porous thermoelastic media containing a deep buried heat source. By applying the Laplace–Hankel transform to the state variables involved in the basic governing equations of porous thermoelasticity, the analytical layer elements that describe the relationship between the transformed generalized stresses and displacements of a finite layer and a half‐space are derived. The global stiffness matrix equation is obtained by assembling the interrelated layer elements, and the real solutions in the physical domain are achieved by numerical inversion of the Laplace–Hankel transform after obtaining the solutions in the transformed domain. Finally, numerical calculations are performed to demonstrate the accuracy of this method and to investigate the influence of heat source's types, layering, and the porous thermoelastic material parameters on thermal consolidation behavior. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
13.
针对塑料排水板(PVD)安装热源能提升PVD性能、加速竖井地基固结这一工程现象,基于热-水-应力 (T-H-M) 三场全耦合的有限元方法来模拟利用热源进行地基处理新技术(PVTD)。首先,以微分形式与等效弱形式分别给出T-H-M耦合控制方程,并推导出其有限元方程组。然后在多场耦合有限元软件中建立饱和土的T-H-M全耦合模型,并通过与已有解析解比较,验证了模型正确性。最后,对一个经典有涂抹区的竖井地基算例,分不耦合温度(UT)、耦合温度但不考虑其对饱和土物性影响(CT)、耦合温度考虑温度对饱和土渗透性影响(CTP) 3种情况进行固结计算分析。研究结果表明,相对于无热源竖井地基,CT情况下由于热源产生的附加孔隙水压力,固结速度略有下降;CTP情况下,由于热源有效改善涂抹区的渗透性能,竖井地基固结速率明显加快。上述研究结论从理论上较好地阐明了PVTD的作用机制。 相似文献
14.
Darius Mottaghy Hans-Dieter Vosteen Rüdiger Schellschmidt 《International Journal of Earth Sciences》2008,97(2):435-442
Thermal diffusivity governs the transient heat transport equation. Thus, a realistic characterisation of this parameter and
its temperature dependence is crucial for geothermal modelling. Due to sparse information from boreholes, lack of samples,
and elaborate measurement procedures, there is often insufficient data on thermal diffusivity at elevated temperatures. We
make use of existing data on crystalline (metamorphic and magmatic) rock samples from the Kola Peninsula and the Eastern Alps
and develop a general relationship for the temperature dependence of thermal diffusivity up to 300°C. The temperature dependence
of thermal conductivity is parameterised itself, using an empirical relationship which is set up for both data sets as well.
Hence, only thermal conductivity at ambient temperatures is required for determining the temperature dependence of thermal
diffusivity. We obtain different coefficients for both data sets which can be explained by different geological settings,
and therefore different mineral compositions and internal structures. Comparisons with other expressions for these rock physical
parameters show a good agreement at ambient conditions. General relations for thermal diffusivity at elevated temperatures
are rare. A comparison of our results with data from two crystalline samples from the KTB and data from the Southern Indian
Granulite Province highlights the need for further data, which will help to quantify uncertainties. 相似文献
15.
16.
The velocity of elastic waves has been measured along the principal fabric directions in 110 Alpine rocks, and these data are analyzed in conjunction with previously measured data on density, porosity, specific heat, and thermal diffusivity for the same rocks. Particular attention is given to the anisotropy in the thermal and elastic properties which are up to three times larger in the direction of lineation than in the direction perpendicular to the foliation. The correlations among the various scalar properties and the average thermal and elastic properties are in general weak and are overshadowed by variations due to mineralogy. However, relative thermal and elastic properties show a significant positive correlation, and for gneisses, schists, ultramafic rocks and carbonate rocks it is meaningful to predict thermal anisotropy on the basis of elastic anisotropy. 相似文献
17.
Reliable estimates of soil thermal properties such as heat capacity, thermal conductivity, and diffusivity are important in analysis of heat transmission through soils in applications such as shallow geothermal applications, buried electrical conduits, and in general heat/fluid flow analyses. A number of analytical, numerical and experimental methods are available to determine the soil thermal properties. In this paper, the analytical and numerical methods developed on the basis of one-dimensional heat conduction equation are used to estimate the apparent thermal diffusivity of soil. Three of the four analytical methods, Amplitude, Phase, and Arctangent provide explicit equations for the apparent thermal diffusivity. Two methods, Harmonic and Numerical, make use of large number of temperature measurements to implicitly solve for the apparent thermal diffusivity. The temperature time series data monitored at different depths in two field sites in Melbourne, Australia for more than 2 year period were used to estimate the apparent thermal diffusivity of soil down to 2 m depth. The apparent thermal diffusivity was calculated using all five methods and compared with laboratory experimental results. The effectiveness of each method in predicting the thermal diffusivity was compared and observed discrepancies were discussed. Finally, the observed soil temperature data for a 12 month period are used to model the temperature variation in the ground analytically using Harmonic method and the model prediction for the following 12 month was compared independently with the field measurements. The analytical model prediction is found to be in good agreement with the field monitored data. 相似文献
18.
针对高放射性核废物地下处置库近场饱和裂隙岩体环境,提出一种由分布热源、饱和单裂隙和两侧无限大岩石构成的三维水流-传热简化模型,建立了控制微分方程和基于拉氏变换域格林函数的积分方程;采用矩形单元把裂隙面域离散化,利用极坐标下的解析方法计算包含奇点的单元积分,利用数值方法计算分布热源和不包含奇点的单元积分,建立拉氏变换域的线性代数方程组,求解后,利用拉氏数值逆变换,计算任意时刻裂隙水和岩石的温度分布。对两个无内热源、流场确定的计算模型进行了计算,与仅考虑岩石沿裂隙面法向一维热传导的解析解进行了对比。计算分析了分布热源作用下饱和单裂隙岩体的三维水流-传热特征及其对裂隙水流速、岩石热传导系数和热源热流集度的敏感度。计算结果表明：与直接采用高斯数值积分相比,提出的解析法奇异积分精度较高;就裂隙水温度而言,单裂隙岩体三维水流-传热半解析计算方法与解析法得到的结果基本一致,但由于半解析计算方法考虑了岩石的三维热传导,使得裂隙水的上游温度较低,而下游温度较高;无分布热源作用时,岩石热传导系数越大,裂隙水温度越低;裂隙水流速越大,裂隙进水温度对裂隙水和岩石温度分布的影响越明显;由于受到裂隙水流动传热的作用,分布热源对裂隙水温度和岩石温度的影响在裂隙水流的下游区域比较显著。 相似文献
19.
针对新技术热排水固结法,采用非等温管道流模拟竖井中U型导热管的传热过程,考虑温度对竖井扰动区和未扰动区渗透性的影响,在COMSOL Multiphysics有限元软件中进行二次开发,建立了竖井地基热排水固结法的有限元模型。以热排水固结软基处理原型试验为例,重点分析了模型耦合、部分耦合和不耦合情况下软土地基的固结度。结果表明,相对于传统排水固结法的不耦合模型,部分耦合模型下因温度产生的孔压增量延缓了地基固结的发展,固结速率有所减慢;耦合模型下温度虽也产生一定的孔压增量,但温度有效地改善了竖井涂抹区土的渗透特性,地基的固结速率加快,固结周期缩短,与试验结果一致。 相似文献