管线渗漏异常探地雷达数据的电场分量成像分析

探地雷达（GPR）是管线渗漏探测的有效方法,但是当地下介质分布较为复杂时,难以直接从GPR数据剖面图中准确识别出渗漏异常区。为此,针对渗漏异常区含水量高的特点,根据反射波系数与介电常数的关系,提出了GPR数据的电场分量成像技术。利用时间域有限差分法（FDTD）模拟了不同介电参数的地质模型在GPR中的电磁波响应,由正演模拟结果可知分界面两侧介质的介电常数差异性越大反射波能量越强。最后将GPR数据的电场分量成像技术应用于某工业区管道渗漏探测中。试验结果表明,管道渗漏异常区在电场分量图谱中表现为高幅值区。      

温度对土壤介电常数的影响规律研究北大核心CSCD

介电常数是频域反射法测定土样含水率的关键参数之一。为获取温度对土壤介电常数的影响规律,利用矢量网络分析仪测得不同含水率、含盐量的试样在不同试验温度下的介电常数。通过分析土样介电常数随不同因素的变化规律,最后建立了介电常数与温度的关系。结果表明:温度对土样介电常数的影响主要表现在冰水剧烈相变阶段。当温度低于某一温度或者高于冻结温度后,介电常数受温度的影响较小。负温条件下,土样介电常数随含盐量增大而增大。引入阶梯函数建立的三阶段模型,可有效描述土样介电常数随温度的变化规律。     

随钻电磁波测井数据处理新方法

在有限元素法分析的基础上,根据图版中数据对(地层视电阻率,介电常数)和(幅度衰减,相位差)之间的对应关系,给出了一种采用交汇解释图版的方法,可把随钻电磁测量的相位差和幅度衰减同时转换为地层视电阻率和地层介电常数。同时,通过三维数值模拟不同地层模型的仪器响应,系统地分析了地层各向异性、地层倾角和地层厚度等环境因素对随钻电磁测量视电阻率的影响,结果表明,地层倾角越小,地层厚度越大,测量结果也就越准确。同时绘制了相应的校正解释图版。     

Experimental assessment of the infiltration properties of a coarse soil medium in a dielectric infiltration test

An accurate determination of the hydrological characteristics of porous media, such as the values of the porosity and effective porosity, are essential. This is important to understand the transport processes of infiltration and the movement of water and contaminants in the porous media. In this study, a laboratory soil column experiment to estimate the porosity and effective porosity of Toyoura standard sand samples, using a dielectric method termed the frequency domain reflectometry with vector network analyzer (FDR-V), was performed. The FDR-V device uses high-frequency microwaves, ranging from 0.1 to 3 GHz, to measure the complex dielectric constants of the sample. From the measured complex dielectric constant, the two parameters of the soil samples then were derived, using a proposed dielectric mixture model and tracer concentration model. The effective porosity of the soil sample is measured at 0.311 with the FDR-V dielectric method and 0.345 by the soil tracer column test. Comparing this with the calculated porosities of the soil sample, the ratio of effective porosity is approximately 78% for the dielectric method, and approximately 86% for the tracer concentration method. These different values can be explained to be within the measurement range with regard to the measurement volume for the soil column. These results indicate that measurement by the dielectric method using an FDR-V device is an efficient and useful tool for estimating the hydrological parameters of porous media because of the dielectric response of earth materials.     

探地雷达测量土壤水含量的进展

包括探地雷达(Ground Penetrating Radar)在内的许多电磁方法正越来越多的应用于近地表水文地质领域。探地雷达技术基于介质的电磁特性,通过介质介电常数和速度的变化来反映土壤的体积水含量。水的相对介电常数为81,而周围介质的相对介电常数约为2~30,这样大的介电常数差异使探地雷达成为监测和分析地下水的有效工具。介绍4种应用探地雷达测量土壤水含量的方法,包括:探地雷达反射波法、探地雷达地面波法、钻孔探地雷达方法、以及探地雷达地表反射系数方法4种方法各有不同的适用条件,其中反射波方法最为常用。     

Direct back analysis by the meshless local Petrov‐Galerkin method and Bayesian statistics

This study presents a preliminary development of a direct back analysis procedure by the meshless local Petrov–Galerkin (MLPG) method and Bayesian statistics and the application of resulting procedure to characterize soil properties using laboratory results. As compared to direct back analyses that are based on the finite element method (FEM), it is intended to show that MLPG‐based direct back analyses may be more suitable for some kinds of characterization problems; for example, involving a complex subsurface stratification or the characterization of soil properties of just an inclusion of a soil profile. The existing MLPG method is first slightly modified to analyse time‐dependent problems. Using the resulting method, quantities to be characterized are evaluated so that they give numerical results as close to measured data as possible. The Akaike information criterion is introduced for simplifying the evaluation. A one‐dimensional finite strain consolidation problem is introduced to do an error analysis for prediction by the proposed MLPG method. Another example illustrates experiences of performing an MLPG‐based direct back analysis. Comparison of MLPG‐based and FEM‐based direct back analyses is taken. Copyright © 2006 John Wiley & Sons, Ltd.     

微扰法测量干燥岩矿样品复介电常数

微扰法是测量微波频率下介质材料复介电常数的简单易行的方法, 尤其对低ε′和低tanδ介质的测量很灵敏, 至今仍在广泛应用.但大部分岩矿样品的ε′和tanδ超出了微扰法的量程范围, 无法用该方法直接测量.本文提出了基于微扰法测量干燥岩矿样品复介电常数的新方法.先将干燥岩矿研磨成粉, 并与ε′和tanδ较小且介电性质稳定的聚乙烯粉末以一定体积百分比混合, 热压成型制样; 用微扰法测量岩塑混合物的复介电常数.两相混合体系的介电性质与其中每相的关系可以用Lichtenecker混合公式描述, 由于聚乙烯的复介电常数已知, 因此, 岩矿样品的复介电常数可由岩塑混合物的复介电常数计算得到.测量结果表明, 9370MHz时, 同一试样用矩形谐振腔微扰法、圆形谐振腔微扰法和传输反射法的测量结果一致, 并提供了部分干燥岩石和矿物的复介电常数测量数据.      

基于速度分析的探地雷达阻抗介电常数反演

阻抗反演是利用波阻抗与介电常数关系开展地下介质参数估计的重要技术,在探地雷达以及叠后地震资料解释中具有广泛的应用。常规阻抗反演需要钻孔或测井曲线作为约束项,约束项信息直接影响阻抗反演的估计精度。在缺少钻孔数据的实际应用中,如何开展探地雷达阻抗反演是该方法研究的重要内容之一。基于上述问题,本文提出了基于速度分析的探地雷达阻抗反演方法。其基本思想是基于多偏移距雷达数据开展速度谱分析和Dix反演,以获得不同深度的速度信息作为阻抗反演的约束项;同时,采用K-means方法自动拾取速度谱信息,大大降低了常规人工拾取误差,提高了计算效率。通过典型随机土壤介质模型,验证了本文方法在无钻孔条件下仍然可以获得较好的介电常数估计结果,并测试噪声适应能力强。最后通过美国密歇根州Wurtsmith AFB,in Oscoda区域的探地雷达数据测试了本文提出方法在探地雷达实测数据参数估计中具有较好的应用效果。     

探地雷达测定地基土含水量的实验研究

利用室内模型槽,采用探地雷达开展了测定地基土含水量的室内实验研究。通过对探地雷达反射波法测定的介电常数和烘干法测定的含水量之间的曲线拟合,提出了实验用粉土的含水量与介电常数之间的经验公式。与实测含水量的对比分析表明,Topp公式在一定含水量范围内有良好的适用性,而本文提出的经验公式较Topp公式具有更宽的含水量适用范围和更高的预测精度;针对不同类型土建立相应的含水量和介电常数之间的经验公式是必要的,将有助于提高探地雷达测定地基土含水量的精度。     

Ground‐penetrating radar imaging of Pleistocene sediments,Boco Plain,western Tasmania

Ground‐penetrating radar surveys across the southern end of the Boco Plain, western Tasmania, revealed a complex sequence of Quaternary glacial and non‐glacial sediments. The subsurface imaging supported previous suggestions of a complex Boco Plain palaeotopography that incorporates a range of depositional environments and multiple constructional events. The ground‐penetrating radar technique enabled imaging of the sediments to 20 m depth, and permitted identification of different sedimentary facies and constructional events due to the significant contrast in dielectric constant within and between the sediments and bedrock. The bedrock and sediment stratigraphy are in broad agreement with drillcore records from the southern end of the Boco Plain and indicate the utility of the method in the initial stages in the investigation of Pleistocene sedimentary sequences of this type.     

The relationship between electrical capacitance-based dielectric constant and soil water content

Based on batch experiments conducted on soil samples in the laboratory, the relationship between dielectric constant and water content based on electrical capacitance measurement was investigated. Factors that may affect the relationship, such as measurement frequency, electrode array methods, and soil particle sizes, were analyzed. A model fitting the relationship between dielectric constant and water content was proposed. The results clearly indicate that even with the use of rod-like sensors, the measured electrical capacitance with 1 kHz frequency can be used to construct a good relationship between dielectric constant and water content. Although the electrode array methods (parallel or non-parallel electrode pair) and soil particle sizes do affect the obtained absolute values of dielectric constant to some extent, the relationship between dielectric constant and water content remains unchanged. A clear characteristic is the increase reduction in the dielectric constant at near saturation condition, and the low increase speed when water content is small. The proposed modified VG model incorporated this characteristic into it and fitted the data better than the reported models. These results suggest that the electrical capacitance-based dielectric constant measurement can be extensively used and would be useful, especially in the situations where parallel sensor requirement is difficult to satisfy.     

南宁膨胀土的体积含水率-等效介电常数关系

体积含水率-介电常数关系是时域反射法（TDR）测量土体体积含水率的理论基础。通过对重塑的南宁膨胀土进行试验,选择经验公式法、边界法及理论模型法模拟其体积含水率-等效介电常数的变化规律。研究发现,南宁膨胀土的实测值落在Hashin-Shtrikman边界和Wiener边界以内,但Hashin-Shtrikman边界具有更小的范围;由于膨胀土的黏性较大,结合水存在显著的影响,Topp公式计算值偏高,但采用考虑三相组分含量的Looyenga公式可反映结合水的影响,从而得到更好的结果;理论模型法的Maxwell-Garnett模型和差分有效介质模型（DEM）需要考虑三相的构成,单独采用气相连续或水相连续的模拟结果均不理想,但如考虑土中水、气分布形态,采用饱和度作为权重函数对单相计算结果进行加权平均后可取得较好的效果。     

Relevance vector machine‐based response surface for slope reliability analysis

A new computing method is proposed for reliable analysis. The limit state function is implicit and nonlinear in reliability analysis of slopes and is difficult to apply by traditional reliability methods, especially in large‐scale project applications. Relevance vector machines (RVMs) are capable of approximating the limit state function without the need for additional assumptions regarding the function form, as opposed to traditional polynomial response surfaces. RVMs were adapted to obtain the limit state function. We propose an RVM‐based response surface method combined with the first‐order reliability method for slope reliability analysis and describe its step‐by‐step implementation. The reliability index obtained from the proposed method shows excellent agreement with traditional response surface method results. Copyright © 2017 John Wiley & Sons, Ltd.     

探地雷达测量近地表含水量的研究

为充分验证探地雷达方法用于测量近地表含水量的有效性和可靠程度,基于探地雷达的反射波法,根据介电常数、电磁波传播速度和含水量三者之间的关系,着重分析了探地雷达反射波法用于测量含水量的相关理论和特点,设计了适用于高频雷达信号的速度分析算法,建立了用于分析该问题的局部含水层模型。利用FDTD方法模拟分析了不同测量方式下,局部含水层的探地雷达响应,借助速度分析理论及Topp公式,反演得到了研究区域的含水量。     

Three‐dimensional simulations of tensile cracks in geomaterials by coupling meshless and finite element method

Failure in geotechnical engineering is often related to tension‐induced cracking in geomaterials. In this paper, a coupled meshless method and FEM is developed to analyze the problem of three‐dimensional cracking. The radial point interpolation method (RPIM) is used to model cracks in the smeared crack framework with an isotropic damage model. The identification of the meshless region is based on the stress state computed by FEM, and the adaptive coupling of RPIM and FEM is achieved by a direct algorithm. Mesh‐bias dependency, which poses difficulties in FEM‐based cracking simulations, is circumvented by a crack tracking algorithm. The performance of our scheme is demonstrated by two numerical examples, that is, the four‐point bending test on concrete beam and the surface cracks caused by tunnel excavation. Copyright © 2014 John Wiley & Sons, Ltd.     

Numerical characterization of dispersion coefficients by meshless‐based inverse analysis

This study presents the preliminary development of a meshless‐based indirect inverse analysis. Two goals are desired to be attained: (a) identifying fewer quantities in an indirect inverse analysis and (b) getting the interpolation results of spatial variation of a quantity insensitive to the replacement of one or few interpolation points with other points. This idea is illustrated by modifying a meshless local Petrov‐Galerkin (MLPG) formulation of a two‐dimensional (2D) contaminant transport problem under the concept of boundary control. Thus, dispersion coefficients to be identified are solved from measured or prescribed pollutant concentrations. A field problem is introduced to test the performance of resulting meshless‐based indirect inverse analysis procedure. This test finds a major motive and a minor one for performing a meshless‐based indirect inverse analysis. The major motive is attaining the aforementioned Goal (b), while the above‐mentioned Goal (a) is the minor motive. In conclusion, the development of a meshless‐based indirect inverse analysis procedure can be a valuable application of the MLPG method. Copyright © 2010 John Wiley & Sons, Ltd.     

Developing constitutive models from EPR‐based self‐learning finite element analysis

A constitutive model that captures the material behavior under a wide range of loading conditions is essential for simulating complex boundary value problems. In recent years, some attempts have been made to develop constitutive models for finite element analysis using self‐learning simulation (SelfSim). Self‐learning simulation is an inverse analysis technique that extracts material behavior from some boundary measurements (eg, load and displacement). In the heart of the self‐learning framework is a neural network which is used to train and develop a constitutive model that represents the material behavior. It is generally known that neural networks suffer from a number of drawbacks. This paper utilizes evolutionary polynomial regression (EPR) in the framework of SelfSim within an automation process which is coded in Matlab environment. EPR is a hybrid data mining technique that uses a combination of a genetic algorithm and the least square method to search for mathematical equations to represent the behavior of a system. Two strategies of material modeling have been considered in the SelfSim‐based finite element analysis. These include a total stress‐strain strategy applied to analysis of a truss structure using synthetic measurement data and an incremental stress‐strain strategy applied to simulation of triaxial tests using experimental data. The results show that effective and accurate constitutive models can be developed from the proposed EPR‐based self‐learning finite element method. The EPR‐based self‐learning FEM can provide accurate predictions to engineering problems. The main advantages of using EPR over neural network are highlighted.     

A reconstruction method for three‐dimensional pore space using multiple‐point geology statistic based on statistical pattern recognition and microstructure characterization

To predict the macroscopic properties (e.g., transport, electromagnetic, and mechanical properties) of porous media, it is necessary to have a three‐dimensional (3D) representation of porous media. We reconstruct the geologically realistic 3D structure of Fontainebleau sandstone based on the two‐dimensional (2D) thin sections by using the multiple‐point statistics method. For this method, the size of template is an important parameter that reflects the perceived scale of spatial structure of porous media. In this paper, we take advantage of entropy method to obtain the appropriate size of the template, which is proven to be correct and feasible. The reconstruction method proposed by us combines successive 2D MPS simulations as well as 3D MPS simulation, which takes account into the pore structure information (e.g., heterogeneity and connectivity) both intralayer and interlayer. This reconstruction method is tested on Fontainebleau sandstone for which 3D images from micro‐CT scanning are available. Applying local percolation theory analysis, this new approach can depict the expected patterns of geological heterogeneities. In addition, it also can well reproduce a high degree of connectivity of the pore space better than other reconstruction methods based on lower‐order statistics. Copyright © 2011 John Wiley & Sons, Ltd.     

基于辐射传输方程的低损耗介质微波介电常数反演

微波介电常数是分析和研究微波与介质之间相互作用的重要基础参数之一。笔者设计了一种针对低损耗介质微波介电常数的反演方法。引入并改进了辐射传输方程,将介质介电常数的实部和虚部与其微波亮温相关联。在温度均匀分布且表面光滑的条件下,利用改进的辐射传输方程,构造了低损耗介质微波介电常数的反演模型。基于模拟月壤物质,进行了反演模型的验证。结果表明,反演的介电常数的实部与北京师范大学提供的检测结果吻合良好,虚部与阿波罗14号月壤样品的平均测量值吻合良好。     

岩石电容——电介质电容之一

岩石是电介质之一.发现了岩石具有电容性,就应该探讨电介质是否具有电容性.本文根据岩石充放电一次电压和二次电压得到的岩石电容性给出了电介质电性模型.依据介质为电容电阻串联的新的模型,利用跨学科的前人对黄铜矿、黄铁矿、玻璃、云母、琥珀以及聚乙烯胶囊的时间域和频率域实验数据进行验证,并进一步与介电常数经典理论对比验证.验证结果表明,新模型的电性参数关系与黄铜矿、黄铁矿、玻璃、云母、琥珀及聚乙烯胶囊实测电性参数关系非常吻合;新模型适用于各种时间的弛豫以及直流和交流环境;新模型也完全能表达各种介电常数和电损耗的关系.主要结论有,介质是漏电的含有内阻的电容;它可以看作若干含内阻电容和漏电电阻的并联电路;介质的阻抗及等效电容取决于介质的电容、电容内电阻、介质电阻及频率;岩石电容是电介质电容的一种.