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在陷落柱侧壁突水研究中引入厚壁筒力学模型,将陷落柱侧壁煤柱视为多孔介质,考虑地下水的渗流体积力,应用摩尔库伦强度理论和弹塑性力学模型,推导出煤柱弹塑性状态应力解析式,以及煤柱内塑性区半径与水压力的关系表达式,同时编程试算出陷落柱侧壁突水的临界水压力。在此基础上,分析了煤柱孔隙率、煤柱抗剪强度参数以及煤柱宽度等因素对陷落柱侧壁突水的临界水压力的影响规律。研究结果表明：1煤柱能够承受的临界水压随着煤柱孔隙率的增加而降低,故当煤柱裂隙发育时,不考虑渗流力的结果将偏于安全;2煤柱宽度越大、抗剪强度越高,则临界水压越大,陷落柱侧壁突水的危险性越低;3可通过注入水泥浆液减小煤柱孔隙率和提高煤柱强度来防止陷落柱侧壁突水,同时可减少煤柱的留设宽度,对减少煤炭损失有着重要意义。 相似文献
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借助人工震源,主动探测地下介质结构、并监视其动态变化是地震学家的一个梦想,本文提出的精密主动地震监测(PASM: Precisely and Actively Seismic Monitoring)为实现这一梦想提供了一条可能的途径.本文介绍的精密主动地震监测系统以与GPS保持同步的电子系统控制的旋转质量体作为地震信号源,产生精确的、高度可重复的地震信号,这种信号经过地下介质传播到达观测点被数字地震仪器记录,由专门的计算方法提取,可以获得监视地下介质结构的有效信息,从而实现地下介质结构及物性的主动精确动态监测.其中震源是一种连续震源,工作时对地输入能量强度低,对环境不造成任何破坏性影响,可长期运行,是一种适用范围广泛的绿色震源.以此震源为基础构成的精密主动地震监测系统,配合高灵敏度的数字观测系统,再加上数据处理和信噪比增强技术,可以在150 km以上的距离外得到有效纪录,精确地监视固定路径的精度优于1 ms的走时变化,进而监视地下介质的速度变化和介质参数的变化,是一种前景光明的新型地震学研究方法. 相似文献
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通常将地下封闭式爆炸近似为球对称爆炸震源来研究,然而利用这一模型来解释由地下核爆炸激发的近场和远场地震波的全部特征是远远不够的,通过理论和利用地下核爆炸产生的地震波数据的研究,学者们总结出了一些重要的辅助震源模式,作为地下核爆炸的二次源机制,如地震波转换震源模式、层裂震源模式、构造应变能释放震源模式等.其中的一些模型成功地解释了诸如地下核爆炸Lg波的激发机制等重要问题.本文介绍了这些重要模式的研究背景及理论依据,并且详细地推导了层裂源的数学描述过程. 相似文献
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为利用sPn与Pn波的走时差测定震源深度,进一步提高地震震源深度的测定精度,推导多层介质下sPn与Pn波的走时差与震源深度的关系,发现走时差与震中距无关,只与震源深度及区域地壳速度模型有关。震源在同一层中,走时差曲线的斜率不变,而当震源位于不同层中时,sPn-Pn走时差曲线的斜率不同,并呈分段直线的走时差曲线形态。地壳速度结构纵向越不均匀,多层和单层介质下利用sPn-Pn走时差计算的震源深度误差就越大,走时曲线的各分段直线斜率相差越大;探讨地壳中sPn与Pn波传播路径相同但波速不同的单层地壳速度模型,发现单层介质下波速越大,测定的震源深度越大;对于同一地区相同的地壳分层结构,测得的震源深度随着泊松比的增大而减小。基于前人给出的中国五个典型块体多层平均地壳模型,给出sPn-Pn走时差与震源深度计算公式速查表。 相似文献
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变网格正演模拟方法因其低存储、高效率等特点,在含低速带或小尺度异常体的地下介质的数值模拟中发挥了重大作用.变网格模拟算法的精度与模拟时采用的频率、细网格长度、网格比、介质速度等参数密切相关.当模拟参数选取不合理时,在粗、细网格的分界处会产生强能量虚假反射,严重降低波场模拟的精度及分辨率.因此,选择合理的参数以压制虚假反射的产生在变网格正演模拟中显得尤为重要.本文基于一维假设和平面波理论,结合变系数变网格算法,推导出在变网格声波方程正演模拟中由于网格变化所引起的虚假反射的反射率函数公式,该公式为反射率函数与频率、细网格步长、网格比、介质速度的函数.基于该函数表达式,本文通过理论分析和模型数值算例,系统分析了频率、细网格步长、网格比、介质速度等对于变网格数值模拟中虚假反射的影响.理论分析和数值模拟实验均表明:在声波方程变网格正演模拟中,到达临界位置(即虚假反射率函数为1)之前,频率越高、细网格步长越大、网格比越大、介质速度越低,虚假反射率越大,即虚假反射现象越明显;反之,虚假反射率越小,虚假反射越弱.本文推导出的反射率函数可为实际变网格数值模拟中的各参数选取提供理论指导. 相似文献
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通过室内动三轴试验,研究了西北地区遗址土体的动本构关系,得到了模型参数,分析了遗址土体的动剪模量比和阻尼比的特性,并通过归一化处理得出模型参数,结果表明:遗址土体符合Hardin-Dinevich双曲线模型,其相关系数均大于0.991 7,模型参数a、b与土样密度不存在相关性;在相同荷载下,密度越大,动应变和动残余应变越小,其中陕西定边陡沟子明长城墙体土承受动荷载能力下降较快,而草滩段秦长城墙体、瞭望台台基处初始弹性模量和初始剪切模量较小,三处土体硬度较小,易于遭受病害侵蚀破坏,需进行重点加固维护;遗址墙体所建窑洞处土体强度和硬度明显大于长城墙体,动弹性模量和动剪切模量约为其墙体2倍。草滩段瞭望台土体强度和硬度明显大于同地区长城墙体;遗址土体的动剪切模量G/G0随着动剪应变γd的增加而减小,且密度越大,衰减速度越快,阻尼比D随着动剪应变γd的增长,呈现先缓慢增加-急剧增加-缓慢增加的过程,且密度越大,阻尼比越大。按建造年代、建造形制和用途划分、所处地区对典型遗址进行动力特性的对比分析,为今后土遗址加固保护提供理论基础和参考依据。 相似文献
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裂缝诱导HTI双孔隙介质模型是将一组垂直排列的裂缝系统嵌入到统计各向同性的孔隙岩石基质系统中而建立的.为了研究裂缝参数对地震波在该模型中传播规律的影响,本文分别对裂缝弱度、裂缝孔隙度和裂缝渗透率这三个主要的裂缝参数进行了分析研究.数值结果表明,裂缝诱导HTI双孔隙介质中,裂缝弱度越大,介质的各向异性强度越强;与基质孔隙系统相比,裂缝系统孔隙度对介质等效孔隙度的影响很小,而裂缝系统渗透率的增大则将显著提高介质在裂缝发育方向上的等效渗透率,这符合对裂缝系统"低孔"、"高渗"特性的认识.此外,裂缝系统渗透率的增大也使慢纵波的振幅显著增强. 相似文献
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监测地下介质物性动态变化对于研究地震的孕育发生过程具有重要意义. 汶川地震发生后, 在汶川地震主断裂带东北端的陕西省宁强县, 建立了一套主动震源观测系统,利用电动落锤作震源对断裂带开展了近一个月的连续监测实验. 利用主动震源激发波形的高度可重复性, 用谱比法计算了浅层地下介质衰减参数t*随时间的变化, 并与波速和大气压变化进行了对比分析. 结果显示, 由未固结的沉积层和破碎岩石组成的断裂带地震波衰减强,品质因子为10左右;衰减参数t*与大气压的变化有很好的相关性, 并与波速随大气压的变化趋势一致, 可能是由于大气压变化导致浅层介质的裂隙密度变化引起的;强余震引起显著的t*的同震变化及震后各接收台站的不同变化趋势. 野外实验表明, 主动震源是一种监测地下介质物性变化的有效方法. 相似文献
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筑坝反滤料动模量和阻尼比试验的颗粒流模拟 总被引：3，自引：0，他引：3
以筑坝反滤料的室内中型动三轴试验结果为基础,运用离散单元法中的二维颗粒流方法建立了轴对称数值试样模型,通过控制加荷过程中试样体积不变的方法,模拟了不排水加载条件下反滤料的动模量和阻尼比试验。调整颗粒的细观接触参数,与真实试验结果进行比较分析,在得到符合实际结果的宏观力学响应的同时,分析了配位数、孔隙率和超孔隙水压的变化,并从微观角度对动三轴试验进行了探讨。讨论了固结比和密实度对动模量的影响,认为粗粒反滤料的固结比对最大动模量的影响比较符合Hardin推导公式的结果。结果表明,颗粒流方法可以较好地模拟反滤料的动模量和阻尼比试验,试验过程中微观方面的袁现也符合实际室内试验的规律。 相似文献
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利用GCTS共振柱测试仪研究了干密度和固结压力对固原黄土重塑土动剪切模量和阻尼比的影响及试验数据误差的基本规律。通过设计不同工况的试验条件,对比分析结果表明:相同含水率条件下,最大动剪切模量G_(dmax)随固结压力和干密度的增大而增大。相同干密度条件下,黄土的动剪切模量比随围压的增大而增大;阻尼比随围压的增大而减小;相同围压条件下,黄土动剪切模量比随干密度的增大而增大,阻尼比随干密度的增大而减小;不同剪应变特征点的动剪切模量比和阻尼比试验数据呈现一定的离散性,且离散程度阻尼比明显高于动剪切模量比。研究成果可为该地区场地地震反应分析及工程建设提供基础资料。 相似文献
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A critical porosity model establishes the empirical relationship between a grain matrix and a dry rock by the concept of critical porosity. The model is simple and practical and widely used. But the critical porosity in the model is a fixed value that cannot relate to pore structure. The aim of this paper is to establish the theoretical relationship between critical porosity and pore structure by combining Kuster–Toksöz theory with the critical porosity model. Different from the traditional critical porosity model, critical porosity is not an empirical value but varied with pore shape and the ratio of bulk modulus versus shear modulus of the grain matrix. The substitution of the theoretical relationship into Kuster–Toksöz theory will generate the formulae for the bulk and shear moduli of multiple-porosity dry rocks, which is named the multiple-porosity variable critical porosity model. The new model has been used to predict elastic moduli for sandstone and carbonate rock. We compare the modelling results for P- and S-wave velocities and elastic moduli with the experimental data. The comparison shows that the new model can be used to describe the elastic properties for the rocks with multiple pore types. 相似文献
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Osman Uyanık 《Journal of Applied Geophysics》2011,73(1):16-24
This study devises a new analytical relationship to determine the porosity of water-saturated soils at shallow depth using seismic compressional and shear wave velocities. Seismic refraction surveys together with soil sample collection were performed in selected areas containing water-saturated clay–silt, sand and gravely soils. Classification of clay–silt, sand and gravel dense soils provided the coefficient of experimental equation between the data sets, namely, Poisson's ratio, shear modulus and porosity values. This study presents a new analytical relationship between Poisson's ratio and shear modulus values, which are obtained from seismic velocities and porosity values of water-saturated material computed from water content and grain densities, which are determined by laboratory analysis of disturbed samples. The analytical relationship between data sets indicates that when the shear modulus of water-saturated loose soil increases, porosity decreases logarithmically. If shear modulus increases in dense or solid saturated soils, porosity decreases linearly. 相似文献
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Angelo Sajeva Davide Scarpellini Pamela Tempone Simone Capaccioli 《Geophysical Prospecting》2019,67(4):872-887
The effective medium theory based on the Hertz–Mindlin contact law is the most popular theory to relate dynamic elastic moduli (or elastic velocities) and confining pressure in dry granular media. However, many experimental results proved that the effective medium theory predicts pressure trends lower than experimental ones and over-predicts the shear modulus. To mitigate these mispredictions, several evolutions of the effective medium theory have been presented in the literature. Among these, the model named modified grain contact theory is an empirical approach in which three parametric curves are included in the effective medium theory model. Fitting the parameters of these curves permits to adjust the pressure trends of the Poisson ratio and the bulk modulus. In this paper, we present two variations of the modified grain contact theory model. First, we propose a minor modification in the fitting function for the porosity dependence of the calibration parameters that accounts for non-linearity in the vicinity of the critical porosity. Second, we propose a major modification that reduces the three-step modified grain contact theory model to a two-step model, by skipping the calibration parameter–porosity fit in the model and directly modelling the calibration parameter–pressure relation. In addition to an increased simplicity (the fitting parameters are reduced from 10 to 6), avoiding the porosity fit permits us to apply the model to laboratory data that are not provided with accurate porosity measurements. For this second model, we also estimate the uncertainty of the fitting parameters and the elastic velocities. We tested this model on dry core measurements from literature and we verified that it returns elastic velocity trends as good as the original modified grain contact theory model with a reduced number of fitting parameters. Possible developments of the new model to add predictive power are also discussed. 相似文献
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Analytical approximations of bulk and shear moduli for dry rock based on the differential effective medium theory 总被引：2，自引：0，他引：2
Differential effective medium theory has been applied to determine the elastic properties of porous media. The ordinary differential equations for bulk and shear moduli are coupled and it is more difficult to obtain accurate analytical formulae about the moduli of dry porous rock. In this paper, in order to decouple these equations we first substitute an analytical approximation for the dry‐rock modulus ratio into the differential equation and derive analytical solutions of the bulk and shear moduli for dry rock with three specific pore shapes: spherical pores, needle‐shaped pores and penny‐shaped cracks. Then, the validity of the analytical approximations is tested by integrating the full differential effective medium equation numerically. The analytical formulae give good estimates of the numerical results over the whole porosity range for the cases of the three given pore shapes. These analytical formulae can be further simplified under the assumption of small porosity. The simplified formulae for spherical pores are the same as Mackenzie's equations. The analytical formulae are relatively easy to analyse the relationship between the elastic moduli and porosity or pore shapes and can be used to invert some rock parameters such as porosity or pore aspect ratio. The predictions of the analytical formulae for experimental data show that the formulae for penny‐shaped cracks are suitable to estimate the elastic properties of micro‐crack rock such as granite, they can be used to estimate the crack aspect ratio while the crack porosity is known and also to estimate the crack porosity evolution with pressure if the crack aspect ratio is given. 相似文献
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Finite element modelling for water waves-soil interaction 总被引：1，自引：0，他引：1
The soil permeability and shear modulus of many marine sediments vary with depth because of consolidation under overburden pressure. However, conventional theories for wave-induced soil response have assumed a homogeneous porous seabed, with constant soil permeability and shear modulus. This paper presents a finite element model for the wave-induced soil response in a porous seabed, with variable permeability and shear modulus as a function of burial depth. The soil matrix considered here is unsaturated and hydraulically anisotropic, and subjected to a three-dimensional short-crested wave system. The present finite element formulation is established by using a combination of semi-analytical techniques and the Galerkin method. The nodal effective stresses directly derived from the governing equations can be calculated accurately in the present model. Verification is available through the reduction to the simple case of homogeneous seabed. Three typical marine materials, course, fine sand and gravel, are considered in this study. The numerical results indicate that the soil permeability affects the wave-induced seabed response significantly especially for gravelled seabed, as does the soil shear modulus for sandy seabed. 相似文献
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John Pitts 《地球表面变化过程与地形》1986,11(1):107-110
An approximate method is described for determining the maximum consolidating pressure in a hard, heavily overconsolidated fissured clay. From this, the overburden thickness producing the observed degree of consolidation has been calculated. The normal method of calculating preconsolidation pressure using an oedometer was not possible. The ratio c/p' is used in conjunction with the undrained shear strength. Values of c/p' are determined using empirical relationships with Atterberg Limit values. The results allow an overburden thickness to be calculated by assuming a value for unit weight. 相似文献
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Computer simulations are used to calculate the elastic properties of model cemented sandstones composed of two or more mineral phases. Two idealized models are considered – a grain‐overlap clay/quartz mix and a pore‐lining clay/quartz mix. Unlike experimental data, the numerical data exhibit little noise yet cover a wide range of quartz/cement ratios and porosities. The results of the computations are in good agreement with experimental data for clay‐bearing consolidated sandstones. The effective modulus of solid mineral mixtures is found to be relatively insensitive to microstructural detail. It is shown that the Hashin–Shtrikman average is a good estimate for the modulus of the solid mineral mixtures. The distribution of the cement phase is found to have little effect on the computed modulus–porosity relationships. Numerical data for dry and saturated states confirm that Gassmann's equations remain valid for porous materials composed of multiple solid constituents. As noted previously, the Krief relationship successfully describes the porosity dependence of the dry shear modulus, and a recent empirical relationship provides a good estimate for the dry‐rock Poisson's ratio. From the numerical computations, a new empirical model, which requires only a knowledge of system mineralogy, is proposed for the modulus–porosity relationship of isotropic dry or fluid‐saturated porous materials composed of multiple solid constituents. Comparisons with experimental data for clean and shaly sandstones and computations for more complex, three‐mineral (quartz/dolomite/clay) systems show good agreement with the proposed model over a very wide range of porosities. 相似文献
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The dynamic characteristics of compacted loess are of great significance to the seismic construction of the Loess Plateau area in Northwest China, where earthquakes frequently occur. To study the change in the dynamic modulus of the foundation soil under the combined action of vertical and horizontal earthquakes, a hollow cylindrical torsion shear instrument capable of vibrating in four directions was used to perform two-way coupling of compression and torsion of Xi'an compacted loess under different dry density and deviator stress ratios. The results show that increasing the dry density can improve the initial dynamic compression modulus and initial dynamic shear modulus of compacted loess. With an increase in the deviator stress ratio, the initial dynamic compression modulus increases, to a certain extent, but the initial dynamic shear modulus decreases slightly. The dynamic modulus gradually decreases with the development of dynamic strain and tends to be stable, and the dynamic modulus that reaches the same strain increases with an increasing dry density. At the initial stage of dynamic loading, the attenuation of the dynamic shear modulus with the strain development is faster than that of the dynamic compression modulus. Compared with previous research results, it is determined that the dynamic modulus of loess under bidirectional dynamic loading is lower and the attenuation rate is faster than that under single-direction dynamic loading. The deviator stress ratio has a more obvious effect on the dynamic compression modulus. The increase in the deviator stress ratio can increase the dynamic compression modulus, to a certain extent. However, the deviator stress ratio has almost no effect on the dynamic shear modulus, and can therefore be ignored. 相似文献