弹性波在含双裂纹岩体中的传播分析   总被引：2，自引：0，他引：2       下载免费PDF全文

徐松林  刘永贵  席道瑛  李广场  谭子翰 《地球物理学报》2012,55(3):944-952

岩石和岩体是具有复杂细微观结构的非均匀介质.弹性波在岩体中传播时,与岩体细微观缺陷相互作用表现出弹性波的频散效应.为研究岩体内部细观结构对弹性波频散效应的作用,本文采用双裂纹模型:在模型内部,考虑裂纹间的相互作用对弹性波的影响,以分析弹性波在双裂纹体系间的多次散射作用;在双裂纹体系间,采用线性叠加分析法,以考虑岩体缺陷影响的局部化.对波动方程应用Green函数基本解,利用边界积分方法,将双裂纹体系作为内边界处理,得到相应的频散方程,由此对比分析了双裂纹体系在上述两种分析方法下的区别,进一步探讨了双裂纹体系参数、孔隙流体压力和卸荷对岩体频散特性的影响.  相似文献   

Determining finite difference weights for the acoustic wave equation by a new dispersion‐relationship‐preserving method          下载免费PDF全文

Wenquan Liang  Yanfei Wang  Changchun Yang 《Geophysical Prospecting》2015,63(1):11-22

Numerical simulation of the acoustic wave equation is widely used to theoretically synthesize seismograms and constitutes the basis of reverse‐time migration. With finite‐difference methods, the discretization of temporal and spatial derivatives in wave equations introduces numerical grid dispersion. To reduce the grid dispersion effect, we propose to satisfy the dispersion relation for a number of uniformly distributed wavenumber points within a wavenumber range with the upper limit determined by the maximum source frequency, the grid spacing and the wave velocity. This new dispersion‐relationship‐preserving method relatively uniformly reduces the numerical dispersion over a large‐frequency range. Dispersion analysis and seismic numerical simulations demonstrate the effectiveness of the proposed method.  相似文献   

Numerical modeling analysis of hydrodynamic and microbial controls on DNAPL pool dissolution and detoxification: Dehalorespirers in co-culture     

《Advances in water resources》2015

Dissolution of dense non-aqueous phase liquid (DNAPL) contaminants like tetrachloroethene (PCE) can be “bioenhanced” via biodegradation, which increases the concentration gradient at the DNAPL–water interface. Model simulations were used to evaluate the impact of ecological interactions between different dehalorespiring strains and hydrodynamics on the bioenhancement effect and the extent of PCE dechlorination. Simulations were performed using a two-dimensional coupled flow-transport model, with a DNAPL pool source and two microbial species, Dehalococcoides mccartyi 195 and Desulfuromonas michiganensis, which compete for electron acceptors (e.g., PCE), but not for their electron donors. Under biostimulation, low v_x conditions, D. michiganensis alone significantly enhanced dissolution by rapidly utilizing aqueous-phase PCE. In co-culture under these conditions, D. mccartyi 195 increased this bioenhancement modestly and greatly increased the extent of PCE transformation. Although D. michiganensis was the dominant population under low velocity conditions, D. mccartyi 195 dominated under high velocity conditions due to bioclogging effects.  相似文献   

基于微动技术探测盆地浅部地层速度结构1   总被引：1，自引：0，他引：1  

李细兵  范小平 《震灾防御技术》2014,9(4):821-828

本文介绍了利用微动技术探测地表浅层速度结构的方法,并在江苏常州地区一个凹陷盆地内进行了一次野外台阵观测试验,采集场地数据的质量良好.利用空间自相关法得到了不同半径下的自相关函数曲线,该场地的自相关函数显示,对于半径较大的台阵,其自相关系数较好;根据自相关函数提取了场地的频散曲线.通过设定初始模型,利用邻域反演算法得到了该场地的基本速度结构和各层深度分布范围;最后通过与场地附近的人工地震剖面进行对比分析表明,试验结果所揭示的土层结构与浅层人工地震勘探解释结果接近.  相似文献   

Shear dispersion in a fracture with porous walls     

《Advances in water resources》2014

We present an analytical expression for the shear dispersion during solute transport in a coupled fracture–matrix system. The dispersion coefficient is obtained in a fracture with porous walls by taking into account an accurate boundary condition at the interface between the matrix and fracture, and the results were compared with those in a non-coupled system. The analysis presented identifies three regimes: diffusion-dominated, transition, and advection-dominated. The results showed that it is important to consider the exchange of solute between the fracture and matrix in development of the shear dispersion coefficient for the transition and advection-dominated regimes. The new dispersion coefficient is obtained by imposing the continuity of concentrations and mass fluxes along the porous walls. The resulting equivalent transport equation revealed that the effective velocity in a fracture increases while the dispersion coefficient decreases due to mass transfer between the matrix and fracture. A larger effective advection term leads to greater storage of mass in the matrix as compared with the classical double-porosity model with a non-coupled dispersion coefficient. The findings of this study can be used for modeling of tracer tests as well as fate, transport, and remediation of groundwater contaminants in fractured rocks.  相似文献   

旋转网格和常规网格混合的时空域声波有限差分正演          下载免费PDF全文

胡自多  贺振华  刘威  王宇超  韩令贺  王述江  杨哲 《地球物理学报》2016,59(10):3829-3846

压制数值频散,提高正演模拟精度,一直是有限差分正演模拟研究的重要内容.基于时空域频散关系的有限差分法,比基于空间域频散关系的传统有限差分法,模拟精度更高.时空域声波方程数值模拟,普遍采用常规十字交叉型高阶有限差分格式.而在频率-空间域,普遍采用旋转网格和常规网格混合的有限差分格式,有效提高了模拟精度和计算效率.本文将频率-空间域混合网格有限差分的思想引入到时空域,提出了时空域混合网格2 M+N型声波方程有限差分方法.首先推导出基于时空域频散关系的混合网格差分系数计算方法,然后进行频散分析、稳定性分析,并和传统高阶、时空域高阶有限差分法对比,结果表明:计算量相同时,新方法能有效压制数值频散,显著提高模拟精度;新方法相比传统2 M阶有限差分法,稳定性增强,与时空域2 M阶有限差分法稳定性基本相当.最后利用新方法进行均匀介质、层状介质、盐丘模型的数值模拟和盐丘模型的逆时偏移,模拟效果和成像质量进一步证实了该方法的有效性和普遍适用性.  相似文献   

Transport of nonsorbing solutes in a streambed with periodic bedforms   总被引：1，自引：0，他引：1  

Guangqiu Jin  Hongwu Tang  Badin Gibbes  Ling Li  D.A. Barry 《Advances in water resources》2010

Previous studies of hyporheic zone focused largely on the net mass transfer of solutes between stream and streambed. Solute transport within the bed has attracted less attention. In this study, we combined flume experiments and numerical simulations to examine solute transport processes in a streambed with periodic bedforms. Solute originating from the stream was subjected to advective transport driven by pore water circulation due to current–bedform interactions as well as hydrodynamic dispersion in the porous bed. The experimental and numerical results showed that advection played a dominant role at the early stage of solute transport, which took place in the hyporheic zone. Downward solute transfer to the deep ambient flow zone was controlled by transverse dispersion at the later stage when the elapsed time exceeded the advective transport characteristic time t_c (= L/u_c with L being the bedform length and u_c the characteristic pore water velocity). The advection-based pumping exchange model was found to predict reasonably well solute transfer between the overlying water and streambed at the early stage but its performance deteriorated at the later stage. With dispersion neglected, the pumping exchange model underestimated the long-term rate and total mass of solute transfer from the overlying water to the bed. Therefore both advective and dispersive transport components are essential for quantification of hyporheic exchange processes.  相似文献   

Factors affecting longitudinal dispersion in estuaries of different scale   总被引：1，自引：0，他引：1  

Roy E.?LewisEmail author  Reginald J.?Uncles 《Ocean Dynamics》2003,53(3):197-207

Traditionally, the overall diluting capacity of an estuary is characterized using a coefficient of longitudinal dispersion, K_xe, which is given by the ratio of the dispersive flux of a dissolved substance to its tidally averaged longitudinal gradient. A steady-state model, which assumes a balance between the dispersive and non-dispersive fluxes and an exponential increase in estuary cross-sectional area towards the sea, has been used to derive expressions for the axial salinity distribution and the dispersive flux of salt. The model was set up assuming either a constant dispersion coefficient along the estuary or one that increased with distance towards the sea. By comparing salinity predictions with data from five UK estuaries, estimates were made of the maximum dispersive salt flux and the corresponding maximum salinity gradient for each system. The results indicated that there was an approximately linear relation between the fluxes and gradients, and the slope of a line plotted through the origin provided an estimate of a common K_xe for all five estuaries. The magnitude of K_xe was found to be about 90 m² s^–1 with a standard deviation of approximately ±32 m² s^–1. It is concluded that a representative value of 100 m² s^–1 for K_xe is a reasonable first choice when setting up a cross-sectionally averaged estuary model. The results also showed that larger systems, such as the Thames, had lower salinity gradients and lower dispersive salt fluxes, whilst smaller estuaries displayed the opposite characteristics. The model was used to predict the variation in the non-advective flux of salt along an estuary. The distribution was found to be similar to the corresponding flux distribution estimated from observations at the seaward end of the Tees estuary, despite appreciable spatial variations in the individual flux components. Allowing for a small decrease in freshwater flow, the model indicated that there was a decrease in the maximum dispersive flux between neap and spring tides. It is argued that such a reduction in flux can result in a seaward shift in the salinity distribution to a region of greater cross-section, where the freshwater transport per unit area again balances the reduced upstream dispersive flux, as found in the neap to spring response in the Tees estuary.Responsible Editor: Hans Burchard  相似文献   

Vertical mixing of oil droplets by breaking waves   总被引：2，自引：0，他引：2  

Tkalich P  Chan ES 《Marine pollution bulletin》2002,44(11):1219-1229

Oil spilled on a sea surface can be dispersed by a variety of natural processes, of which the influence of breaking waves is dominant. Breaking waves are able to split the slick into small droplets, facilitating oil mixing in the water column. Vertical dynamics of the droplets plays a major role in the oil mass exchange between the slick and the water column. In this paper a mathematical model of oil droplet mixing by breaking waves is developed. The model uses a kinetic approach to describe the vertical exchange of the droplets at the interface between the slick and the water column. The majority of the coefficients and parameters are conveniently combined into a single "mixing factor". The model is verified using sensitivity analysis and empirical formulae of other authors. The model permits a rapid estimation of the amount of dispersed oil under the breaking waves. The ultimate goal of the research is to parameterise influence of breaking waves on vertical mixing of oil droplets to be used in a general 3-D oil spill model.  相似文献   

An Assessment of Turbulence Profiles in Rural and Urban Environments Using Local Measurements and Numerical Weather Prediction Results   总被引：1，自引：1，他引：0  

N.?L.?Morrison  H.?N.?WebsterEmail author 《Boundary-Layer Meteorology》2005,115(2):223-239

Profiles of velocity variances based on observations in flat rural areas are well established, and are used for modelling turbulent dispersion in all types of regions including those of complex terrain and urban areas. Surface-based and balloon observations are used to assess the profiles in both rural and urban areas. It is shown that, with good meteorological inputs for the locality of friction velocity and surface sensible heat flux, the profiles are equally well suited to urban areas. The sensitivity of the profiles to the input meteorological data, in particular using numerical weather prediction (NWP) data, is discussed. This highlights the limitations of NWP data for dispersion modelling and stresses the importance of schemes for modelling urban meteorology.The British Crowns right to retain a non-exclusive royalty-free license in and to any copyright is acknowledged.  相似文献