共查询到20条相似文献，搜索用时 15 毫秒
1.
A constitutive law for viscoelastic behaviour of rocks is derived from irreversible thermodynamics. To this model, two specific parameters are introduced; one is an internal state variable which is a variable concerning the microstructures such as defects in crystals or microcracks, and the other is a temperature reduced time obtained by normalizing the various temperature behaviours. A large number of internal state variables have the respective relaxation times and show the respective time evolutions, while a set of the time evolutions generates temporal power-law behaviour of rocks. The time evolutions of internal states are regarded as dynamics of elements of the generalized Maxwell model, and the stress–strain relation is represented by a response function following a temporal power-law in terms of linear system theory. This relation is inversely formulated to investigate the source field from output data. This model enables us to explain experimentally-based constitutive laws for transient and steady-state behaviour of rocks (e.g., lherzolite) following a temporal power-law and for attenuation behaviour of polycrystals (e.g., olivine) represented by a relation between the quality factor and frequency. Both laws show power-laws on deformation time or frequency depending on the fractal structure in polycrystals or rocks, and the experimental high-temperature behaviours can be extrapolated to long deformation time or high frequency behaviour. 相似文献
2.
Cumulative Benioff strain-release, modified Omori's law and transient behaviour of rocks 总被引：1，自引：1，他引：1
Irreversible thermodynamic theories with internal state variables can be used to derive a general constitutive law for both transient and steady-state behaviours of rocks. This constitutive law can represent the concepts of damage and damage evolution in either the fibre-bundle model or continuum damage mechanics. We have previously proposed an empirically based constitutive law for both the transient and steady-state behaviours of rocks ultimately derived from laboratory experimental data. We show here that this law is concordant with the general constitutive law derived from irreversible thermodynamic theories, and that the relaxation modulus has a temporal power–law that depends on a structural fractal property of rocks. Our constitutive law predicts forms for the cumulative Benioff strain-release for precursory seismic activations and the modified Omori's laws of aftershocks, both aspects of the temporal fractal properties of seismicity. These seismic properties can also be derived by the fibre-bundle model or continuum damage mechanics. Our model suggests that these time-scale invariant processes of seismicity may be regulated by the fractal structures of crustal rocks. 相似文献
3.
An interesting feature of recently published experimental data on high temperature deformation of Solnhofen limestone and Carrara marble is that it is not possible, for either rock, to fit isothermal points on a log strain-rate vs. log stress plot to a single straight line as required for a flow law of the familiar form e = Aexp(- H/RT)σn. Instead for Solnhofen limestone the data can be well fitted to two straight line segments suggesting a change from power law with high stress exponent (at high stress) to power law with low stress exponent at low stress. However, the constant strain-rate data are even better fitted by a single composite flow law formed by addition of the two power laws; a single flow law operates throughout but the strain-rate contributions of the two components change in response to changing stress. Published microstructural evidence supports this composite flow law approach.For Carrara marble constant data provides much poorer control and it is possible to propose several composite flow laws (formed by addition of two or three separate power-law components) all of which provide reasonable correspondence with the data. Stress relaxation data is then used both to test these flow models and to suggest others. Flow models that are broadly compatible with constant and stress relaxation data can then be tested against microstructural measurements.It is suggested that, by treating a set of composite flow laws as alternative hypotheses to be tested against all available data, a more realistic Theological model will result. Composite flow laws have the major advantage of being able to represent a smooth transition from one dominant deformation mechanism to another irrespective of how wide the transition zone may be. 相似文献
4.
K. Miyazaki 《Journal of Metamorphic Geology》2001,19(2):155-164
This paper examines the spatial statistics of matrix minerals and complex patterned cordierite porphyroblasts in the low‐pressure, high‐temperature (low P/T) Tsukuba metamorphic rocks from central Japan, using a density correlation function. The cordierite‐producing reaction is sillimanite + biotite + quartz = K‐feldspar + cordierite + water. The density correlation function shows that quartz is distributed randomly. However, the density correlation functions of biotite, plagioclase and K‐feldspar show that their spatial distributions are clearly affected by the formation of cordierite porphyroblasts. These observations suggest that cordierite growth occurred through a selective growth mechanism: quartz adjacent to cordierite has a tendency to prevent the growth of cordierite, whereas other matrix minerals adjacent to cordierite have a tendency to enhance the growth of cordierite. The density correlation functions of complex patterned cordierite porphyroblasts show power‐law behaviour. A selective growth mechanism alone cannot explain the origin of the power‐law behaviour. Comparison of the morphology and fractal dimension of cordierite with two‐dimensional sections from a three‐dimensional diffusion‐limited aggregation (DLA) suggests that the formation of cordierite porphyroblasts can be modelled as a DLA process. DLA is the simple statistical model for the universal fractal pattern developed in a macroscopic diffusion field. Diffusion‐controlled growth interacting with a random field is essential to the formation of a DLA‐like pattern. The selective growth mechanism will provide a random noise for the growth of cordierite due to random distribution of quartz. Therefore, a selective growth mechanism coupled with diffusion‐controlled growth is proposed to explain the power‐law behaviour of the density correlation function of complex patterned cordierite. The results in this paper suggest that not only the growth kinetics but also the spatial distribution of matrix minerals affect the progress of the metamorphic reaction and pattern formation of metamorphic rocks. 相似文献
5.
大理岩冲击加载试验碎块的分形特征分析 总被引：1，自引：0，他引：1
应用分形几何的方法对冲击加载试验中大理岩破碎块度分布进行统计分析。结果表明,大理岩的冲击破碎块度分布具有分形特征,采用破碎分形维数对岩石破碎过程进行定量描述,可以合理地反映大理岩冲击破碎的程度;大理岩的平均破碎块度与冲击加载速率有着较强的相关性,随着加载速率的提高迅速减小;建立了能量吸收与破碎分维的关系,从能量吸收的角度可以较好地解释破碎分维的变化规律。破碎分维是评价岩石冲击破碎块度分布的理想指标,可较为全面地反映岩石冲击破碎的全过程。 相似文献
6.
Photon correlation spectroscopy has been applied to the study of longitudinal strain relaxation of vitreous Jadeite (NaAlSi2O6) in the temperature range 811–1014° C. The correlation function $\left| {g^{\left( 1 \right)} \left. {\left( t \right)} \right|^2 \propto \exp \left( {\left( { - 2t/\tau _\beta } \right)^\beta } \right)} \right.$ obeys a Kohlrausch type function with β=0.64±0.01. Individual correlation functions fit altogether a master relaxation curve, thus demonstrating thermorheological simplicity (TRS). The temperature dependence of the measured relaxation times shows Arrhenian behaviour with $\log \left( \tau \right) = - 21.4 \pm 0.3{\text{s}} {\text{ + }} {\text{471}}{\text{.6}} \pm {\text{22}} {\text{kJmol}}^{{\text{ - 1}}} /RT$ . The time scale of longitudinal strain relaxation is consistent with the existing data on shear relaxation derived from shear viscosity and structural relaxation calculated from calorimetric C pmeasurements. Comparison with oxygen diffusion indicates that network forming elements relax at about the same time scale as viscoelastic properties. On the other hand, Na+ relaxation times derived from impedance spectroscopy are short compared to viscoelastic relaxation times at low temperatures. This difference is decreasing with increasing temperature and possibly disappearing at approximately 1100° C. 相似文献
7.
高应力卸荷条件下大理岩破裂面细微观形态特征及其与卸荷岩体强度的相关性研究 总被引：1，自引：0，他引：1
岩石的破裂性质及破裂面的起伏粗糙特征对岩石的破裂机制及破裂面的参数取值具有重要的理论和应用意义。采用高精度的三维激光扫描和扫描电镜技术,结合分形理论,揭示高应力条件下大理岩卸荷破裂性质及破裂面的细微观形态特征,阐述主破裂面粗糙度分形维与卸荷岩体强度间的相关规律。在高应力卸荷条件下,大理岩岩样随着卸荷速率的递增宏观破裂性质由剪切、拉剪复合向张拉劈裂发展。初始围压越高卸荷速率越快,主破裂面越起伏粗糙,而初始围压越高卸荷速率越慢,主破裂面越平坦光滑。随卸荷速率的增大,微观上大理岩逐渐由穿晶剪切断裂、沿晶面张裂+穿晶剪切的复合断裂、沿晶面张裂或劈裂的变化特征。卸荷岩体的内摩擦角随破裂面粗糙程度分形维D的增大而增大,而黏聚力随D的增大而减小。 相似文献
8.
温度周期作用下大理岩三轴蠕变试验与理论模型研究 总被引：2，自引：0，他引：2
为了解温度周期作用对大理岩蠕变力学特性的影响,采用温度-应力-渗流耦合的岩石力学三轴流变试验系统对大理岩进行了不同温度及温度周期变化下三轴压缩蠕变试验。基于试验结果,研究了大理岩试样在不同温度及温度周期变化下轴向应变随时间的变化规律,分析了不同温度及温度周期变化下蠕变的变形机制,掌握了温度对大理岩三轴蠕变影响的基本规律,并且建立了考虑温度及温度周期变化影响的改进的Burgers模型。理论值与试验结果非常接近,表明考虑温度及温度周期变化的改进Burgers模型适合描述大理岩的黏弹性蠕变特征。为长期暴露于外部环境下的岩质边坡的长期稳定性分析提供了重要的参考依据。 相似文献
9.
This study presents a finite element (FE) micromechanical modelling approach for the simulation of linear and damage‐coupled viscoelastic behaviour of asphalt mixture. Asphalt mixture is a composite material of graded aggregates bound with mastic (asphalt and fine aggregates). The microstructural model of asphalt mixture incorporates an equivalent lattice network structure whereby intergranular load transfer is simulated through an effective asphalt mastic zone. The finite element model integrates the ABAQUS user material subroutine with continuum elements for the effective asphalt mastic and rigid body elements for each aggregate. A unified approach is proposed using Schapery non‐linear viscoelastic model for the rate‐independent and rate‐dependent damage behaviour. A finite element incremental algorithm with a recursive relationship for three‐dimensional (3D) linear and damage‐coupled viscoelastic behaviour is developed. This algorithm is used in a 3D user‐defined material model for the asphalt mastic to predict global linear and damage‐coupled viscoelastic behaviour of asphalt mixture. For linear viscoelastic study, the creep stiffnesses of mastic and asphalt mixture at different temperatures are measured in laboratory. A regression‐fitting method is employed to calibrate generalized Maxwell models with Prony series and generate master stiffness curves for mastic and asphalt mixture. A computational model is developed with image analysis of sectioned surface of a test specimen. The viscoelastic prediction of mixture creep stiffness with the calibrated mastic material parameters is compared with mixture master stiffness curve over a reduced time period. In regard to damage‐coupled viscoelastic behaviour, cyclic loading responses of linear and rate‐independent damage‐coupled viscoelastic materials are compared. Effects of particular microstructure parameters on the rate‐independent damage‐coupled viscoelastic behaviour are also investigated with finite element simulations of asphalt numerical samples. Further study describes loading rate effects on the asphalt viscoelastic properties and rate‐dependent damage behaviour. Copyright © 2006 John Wiley & Sons, Ltd. 相似文献
10.
利用“p100/q100”律对胶东地区金矿资源潜力估计 总被引：3，自引：1，他引：2
利用幂函数分布在高端截尾 (uppertruncation)条件下具有分形性质 ,即尺度不变的特征 ,证明了统计量q具有分形性质 ,即它与尺度参数k无关。在总体的随机变量X服从幂函数分布条件下 ,从“p10 0 /q10 0”律的概率形式推出“p10 0 /q10 0”律的分形形式 ;“80 /2 0”律是“p10 0 /q10 0”律的一种特殊分形形式。当a =1.16,p =0 .2 0时 ,q =0 .80 ;将“p10 0 /q10 0”律应用于山东胶东地区金矿床储量数据 ,得到了该地区大中小型金矿床的“p10 0 /q10 0”律表达式和相应的百分数。比较理论计算的结果与样本观察值计算的结果大小 ,可预测该地区可能存在 1个或 2个大型金矿床。 相似文献
11.
辽河坳陷青龙台辉绿岩全岩Ar-Ar同位素定年所获得的坪年龄为(35.5±0.7)Ma,与正反等时线年龄在误差范围内均相吻合,表明该辉绿岩侵位于新生代古近纪的沙河街期。地球化学分析结果显示,青龙台辉绿岩贫硅,富碱、钛,轻重稀土元素分异明显,略具Eu正异常,富集大离子亲石元素(LILE,如Sr、Ba等)和高场强元素(HFSE,如Nb、Ta等),显示与洋岛玄武岩(OIB)类似的地球化学特征。区域资料显示,华北克拉通东部晚白垩世—古近纪均以拉斑质玄武岩的喷发为主,为尖晶石二辉橄榄岩相高程度部分熔融的产物,新近纪以来则以碱性玄武岩的喷发为主,为石榴子石二辉橄榄岩相低程度部分熔融的产物。青龙台辉绿岩具较高的LaCN/YbCN、Ce/Y值和较明显的Sr、Ba、Eu异常,应是尖晶石-石榴子石过渡相的二辉橄榄岩经较低程度部分熔融的产物。因此,青龙台辉绿岩的形成时间可代表华北东部岩石圈由减薄至增厚的转折时间。 相似文献
12.
The mechanical behaviour of discontinuities in rock, such as joints, is known to be size‐dependent. It is also suspected that the behaviour of larger size features, such as faults, is also size‐dependent. This size dependence has serious implications for performing numerical response simulations of geological media. In this paper, we develop a new mathematical theory for scaling of one particular discontinuity property, namely the interface normal stiffness. To accomplish this, we idealize an interface to have fractal geometry, and we develop analytical relations which show that the interface normal stiffness, which is commonly thought to be a size‐independent property, is in fact a size‐dependent property and has fractal characteristics that may be exploited to develop a fundamental theory for scaling. Copyright © 2001 John Wiley & Sons, Ltd. 相似文献
13.
Fractional calculus has been successfully applied to characterize the rheological property of viscoelastic materials; however, geomaterials were seldom involved in fractional order constitutive models (FOCM), and the topic of first loading and then unloading is rarely discussed through fractional calculus. In this paper, mechanical properties are considered as a ‘spectrum’, both ends of which are elasticity and viscosity, and the fractional order can be utilized to describe such properties quantitatively. In addition to conditions such as creep, stress‐relaxation, and constant‐strain‐rate loading, stress‐strain relationship under the condition of first loading and then unloading was also derived using FOCM. FOCM is then adopted to simulate triaxial tests of geomaterials under corresponding conditions. A comparison of test and numerical results demonstrates that FOCM can reasonably describe the mechanical characteristics of geomaterials.Copyright © 2012 John Wiley & Sons, Ltd. 相似文献
14.
岩石在细观尺度上是由矿物颗粒胶结而成,除细观结构的力学特性外,其几何特征（颗粒界面网络结构和颗粒粒度分布）也对宏观断裂能具有一定的影响。为了探索这种几何特征与大理岩断裂能之间的相关性,从而进一步揭示岩石细观断裂机制,首先通过三点弯曲试验测定大理岩的断裂能,然后在试验后的三点弯试件断口处取岩石切片,进行电镜（SEM）扫描以获取岩石细观结构图像。利用图像处理技术获取岩石细观颗粒的界面网络图。通过对颗粒界面网络图分析,发现颗粒界面网络拓扑结构与颗粒粒度分布具有较强的分形特征。将二者分形维数与试件宏观断裂能相对比,发现它们之间具有很强的相关性。界面网络分形维数与宏观断裂能具有很强的二次相关性,而粒度分布维数与宏观断裂能之间具有较强的线性相关性。宏观断裂能随着两种分形维数的增大而增大。该研究结果揭示了宏观断裂能与岩石细观结构几何特征的相关性,加深了对宏观断裂能细观机制的理解。 相似文献
15.
多孔介质非饱和导水率是地下水污染预测与评价的重要参数。根据分形几何的基本原理和方法,推导出了与Campbell经验公式在形式上完全一致的多孔介质非饱和导水率的预测公式。公式中的幂指数为介质孔隙分维和随机行走分维的函数,分别体现了多孔介质的静态性质与动态性质对其中水分运动的影响,但静态性质的影响是主要的,即导水率主要受多孔介质的结构控制。根据文献中报道的大量数据,利用笔者推导的预测公式计算得到的幂指数的统计值与试验测定的幂指数的统计值基本一致,说明推导的理论公式预测多孔介质非饱和导水率是较为可靠的。 相似文献
16.
R. ZHAO R. Y. ZHANG J. G. LIOU A. L. BOOTH E. C. POPE C. P. CHAMBERLAIN 《Journal of Metamorphic Geology》2007,25(2):207-224
Two Rongcheng eclogite‐bearing peridotite bodies (Chijiadian and Macaokuang) occur as lenses within the country rock gneiss of the northern Sulu terrane. The Chijiadian ultramafic body consists of garnet lherzolite, whereas the Macaokuang body is mainly meta‐dunite. Both ultramafics are characterized by high MgO contents, low fertile element concentrations and total REE contents, which suggests that they were derived from depleted, residual mantle. High FeO contents, an LREE‐enriched pattern and trace‐element contents indicate that the bulk‐rock compositions of these ultramafic rocks were modified by metasomatism. Oxygen‐isotope compositions of analysed garnet, olivine, clinopyroxene and orthopyroxene from these two ultramafic bodies are between +5.2‰ and +6.2‰ (δ18O), in the range of typical mantle values (+5.1 to +6.6‰). The eclogite enclosed within the Chijiadian lherzolite shows an LREE‐enriched pattern and was formed by melts derived from variable degrees (0.005–0.05) of partial melting of peridotite. It has higher δ18O values (+7.6‰ for garnet and +7.7‰ for omphacite) than those of lherzolite. Small O‐isotope fractionations (ΔCpx‐Ol: 0.4‰, ΔCpx‐Grt: 0.1‰, ΔGrt‐Ol: 0.3–0.4‰) in both eclogite and ultramafic rocks suggest isotopic equilibrium at high temperature. The P–T estimates suggest that these rocks experienced subduction‐zone ultrahigh‐pressure (UHP) metamorphism at ～700–800 °C, 5 GPa, with a low geothermal gradient. Zircon from the Macaokuang eclogite contains inclusions of garnet and diopside. The 225 ± 2 Ma U/Pb age obtained from these zircon may date either the prograde conditions just before peak metamorphism or the UHP metamorphic event, and therefore constrains the timing of subduction‐related UHP metamorphism for the Rongcheng mafic–ultramafic bodies. 相似文献
17.
辽河坳陷青龙台辉绿岩的Ar-Ar年代学和地球化学特征——对华北东部岩石圈减薄作用完成时间的限制 总被引：1，自引：0，他引：1
辽河坳陷青龙台辉绿岩全岩Ar-Ar同位素定年所获得的坪年龄为(35.5±0.7)Ma,与正反等时线年龄在误差范围内均相吻合,表明该辉绿岩侵位于新生代古近纪的沙河街期。地球化学分析结果显示,青龙台辉绿岩贫硅,富碱、钛,轻重稀土元素分异明显,略具Eu正异常,富集大离子亲石元素(LILE,如Sr、Ba等)和高场强元素(HFSE,如Nb、Ta等),显示与洋岛玄武岩(OIB)类似的地球化学特征。区域资料显示,华北克拉通东部晚白垩世-古近纪均以拉斑质玄武岩的喷发为主,为尖晶石二辉橄榄岩相高程度部分熔融的产物,新近纪以来则以碱性玄武岩的喷发为主,为石榴子石二辉橄榄岩相低程度部分熔融的产物。青龙台辉绿岩具较高的LaCN/YbCN、Ce/Y值和较明显的Sr、Ba、Eu异常,应是尖晶石-石榴子石过渡相的二辉橄榄岩经较低程度部分熔融的产物。因此,青龙台辉绿岩的形成时间可代表华北东部岩石圈由减薄至增厚的转折时间。 相似文献
18.
西藏罗布莎地幔橄榄岩变形显微构造特征及其地质意义 总被引：1，自引：0，他引：1
地幔橄榄岩是罗布莎蛇绿岩的主要组成成分之一,通过显微构造特征可对其变形特征进行分析,确定流变学参数,探讨地幔橄榄岩的变形历史。以蛇纹石化程度较低的二辉橄榄岩和方辉橄榄岩为研究对象,橄榄石位错特征研究显示,本区橄榄石主要发育了低温常见的直线型自由位错,局部可见位错弓弯、位错环、位错壁等高温位错,反映罗布莎地幔橄榄岩变形以低温塑性流变为主,局部经历了高温塑性流变,主导变形机制为位错蠕变。橄榄石自由位错统计结果表明,二辉橄榄岩中的橄榄石自由位错密度为4.422×107/cm2,方辉橄榄岩中的橄榄石为9.137×107/cm2,变形过程中所受差异应力分别为65MPa和93MPa。橄榄石和斜方辉石显微组构测量采用了电子背散射衍射技术(EBSD),分析结果表明,橄榄石均发育A型组构,为浅部地幔常见的组构类型,该结果与金刚石、柯石英等超高压矿物所指示的形成深度不一致。 相似文献
19.
20.
依据分形理论和方法,探索溶质在多孔介质中的有效扩散系数的替代预测方法。在多孔介质溶质扩散的弯曲毛细管束模型的基础上,以分形维数作为介质的基本几何特性参数,建立了多孔介质中溶质扩散的分形毛细管束模型,推导出了溶质有效扩散系数与介质孔隙度之间的幂定律关系式,幂指数是介质孔隙分维和表面分维的函数,反映了介质孔隙体积的层次分布与孔隙通道曲折程度对扩散的影响。对粘性土的分形维数测定数据和有效扩散系数试验测定数据的分析表明,利用该关系式预测多孔介质中溶质的有效扩散系数是较为准确可靠的。 相似文献