Response of saturated and nearly saturated porous media: Different formulations and their applicability

The response of saturated porous medium is of significant interest in many fields ranging from geomechanics to biomechanics. Biot was the first to formulate the basic equations governing the process of coupled flow and deformation in porous media. Depending on the nature of loading vis‐à‐vis the characteristics of the media, different formulations (fully dynamic, partly dynamic, quasi‐static) are possible. In this study, analytical solutions are developed for the response of saturated and nearly saturated porous media under plane strain condition. The solutions for different formulations are developed in terms of non‐dimensional parameters. The response is studied for various conditions and the regions of validity for various formulations are identified in a parametric space. An assessment of the needed formulation for few important problems is also presented. Copyright © 2008 John Wiley & Sons, Ltd.     

颗粒流沉积边程中的同沉积冲刷变形构造

济阳拗陷坨147井沙三段岩心的颗粒流沉积中．存在一系列特殊的同沉积期变形构造。包括：颗粒流向下侵蚀。并沿纹层面挤入到下伏油页岩层中．形成伸长状的小砂体；砂楔上部的泥页岩薄层在后续流体的冲刷下向后翻卷变形；翻卷片被撕裂、断开混入到颗粒流中。并被流体拖曳变形；变形体被继续拖曳形成脉状分叉的拖曳痕。上述几种现象可以构成一个连续的变化序列，与油页岩的薄互层和颗粒流的流体是形成上述连续变形构造的重要条件。对这种现象的研究．有助于进一步了解重力流的冲刷、沉积过程。     

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Dehydration-related deformation during regional metamorphism, NW Sardinia, Italy

The relationship between deformation and dehydration has been investigated in Hercynian regionally metamorphosed rocks exposed on NW Sardinia. Two episodes of prograde mineral growth (M₁ & M₂) involving dehydration are recognized: growth of chlorite/phengite porphyroblasts at anchizone metamorphic conditions, contemporaneous with the first phase of deformation, D₁, and growth of biotite from chlorite and phengite coincident with the second phase of deformation, D₂. Deformation during both episodes of dehydration is characterized by penetrative axial planar foliations defined by well-developed phyllosilicate preferred orientations quantified by XRD textural goniometry, tight to isoclinal similar folds (interlimb angles <40°), and mineral-filled veins (hydrofractures) orientated parallel to axial planar foliations, that formed contemporaneously with the development of the penetrative foliations. No prograde mineral growth occurred during D₂ at chlorite-zone conditions. D₂ deformation in the absence of dehydration is characterized by non-penetrative crenulation cleavages, poorly developed phyllosilicate preferred orientations, relatively open (interlimb angles >40°), low-strain similar folds and minor brittle deformation. Systematic variations in macrofold interlimb angles, with respect to the timing of mineral growth, indicate that enhanced shortening (c. 80%) occurred during dehydration. Microfabrics show that the onset of dehydration is associated with the transition from a crenulation cleavage to a penetrative foliation. The presence of axial planar hydrofractures that formed coevally with dehydration and fabric development requires that supralithostatic fluid pressures and low differential stresses (<c. 20 MPa) accompanied dehydration. These features demonstrate a connection between the timing of dehydration and the style of deformation.     

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大姚、民乐-山丹地震前的中短期前兆

利用川滇及青藏块体北缘地区上世纪80年代至2003年的跨断层流动形变观测资料，借助应变强度比时序曲线，通过丽江Ms7．0、景泰Ms5．9等震例研究，获取与2003年7月大姚Ms6．2、Ms6．1地震和10月民乐-山丹Ms6．1地震孕育有关的中短期前兆异常。分析表明：①大姚、民乐-山丹地震前1年内异常场地数远超过场地总数的1／3，相对近源区异常在发震地区占一半；②大姚Ms6．2地震前半年内，盐源-丽江地块及其邻近区域以及北东向延伸的川滇交界地区异常明显增多，相对集中。2003年7～9月大幅减弱；而鲜水河断裂、楚雄-通海断裂南段有所增强；③民乐-山丹震前十余天至数月内相对近源区及其邻近构造区域呈现异常相对分散-相对集中且局部增强-一临震前减弱的时空演变特征。震后一个月内青藏块体北缘地区仍有近1／3的场地呈现异常(海原一六盘山断裂带尤为突出)。     

On the motion around the centre of mass of a viscously elastic sphere in the restricted elliptic three-body problem

In the restricted three-body problem we consider the motion of a viscously elastic sphere (planet) with its centre of mass moving in a conditionally-periodic orbit. The approximate equations describing the rotational motion of the sphere in terms of the Andoyer variables are obtained by the method of the separation of motion and averaging; the evolution of the motion is also analysed.     

Experimental research on mechanical characteristics and strength criterion of rock of triaxial unloading tests under different stress pathsEI北大核心CSCD

By carrying out triaxial unloading test under different stress paths on rock, the complete stress-strain curves, deformation characteristics and its strength criterion are studied. The test results show that the relation between lateral strain and confining pressure firstly is linear, and then is nonlinear in the total stage of unloading confining pressure. And its growth rate is about 3 to 5 times the growth rate of the axial strain. It shows obvious lateral dilatancy, and the degree of dilatancy is related to the unloading path. According to the area that is enclosed by confining pressure and volumetric strain curve, it can be seen that the greater the confining pressure is before unloading, the more the energy releases. Deformation modulus decreases gradually with the unloading confining pressure, and increases with the initial confining pressure; the relation between deformation modulus and confining pressure shows negative exponential distribution overall. At the same unloading paths, the reduction of the deformation modulus increases with the increase of initial confining pressure. The Poisson's ratio rises up continually, and the variation law with the confining pressure can be well described by nonlinear. Failure characteristics of rock are mainly shear failure. The strength characteristics of rock can be well characterized by using the Mohr strength criterion of power function. These conclusions provide reliable theoretical reference and guiding significance for the deep mining of the underground metal mine.     

长江口洪水期潮波变形数值模拟研究

由长江口现场水文测验资料分析知,洪水期潮波上溯过程中,潮波变形具有先加剧后趋缓的特点。基于非结构网格FVM方法建立大通至外海的大范围数学模型,复演长江口潮波传播过程,以此为基础,研究长江口洪水期潮波变形特征的形成原因。研究认为:洪水期长江口潮波变形转折点位于潮流界上游;转折点下游潮波变形逐渐加剧是由于高低潮位潮波传播速度差异造成的;转折点上游潮波变形趋缓是由于高潮位重力引起的潮波传播阻力对潮波传播影响大于高低潮位潮波传播速度差异造成的。