共查询到19条相似文献，搜索用时 656 毫秒
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以岩石实验中矿物的几何形态及空间分布为建模依据,以实验条件及单矿物电导率的测量结果为约束条件,用有限元数值方法模拟了不同微观结构的斜长石、辉石混合物在施加电压后电势及电流的分布情况,并计算了混合模型在不同温度条件下的电导率.研究结果显示,数值模型网格数及矿物颗粒数的选取对电导率计算结果的精度有较大影响,在体导电情况下,模型电导率因矿物比例含量和排列结构而异.当斜长石及辉石随机分布时,随着辉石含量的增加,混合模型电导率在不同温度下均有所增加,且温度越高,增加幅度越大,电导率的有限元模拟计算结果接近于有效介质渗透理论模型,且位于并、串联模型之间以及HS模型的上、下边界范围内;在斜长石及辉石含量一定的情况下,各矿物的排列分布对电导率计算结果也有一定的影响,当矿物颗粒大小接近且分布均匀时,模型中电势沿电流传导方向变化较为均匀,模拟计算得出的电导率相对较高,当矿物颗粒大小差别较大及分布不均匀时,电势分布受到一定的扰动,电导率计算结果也较低.将混合模型电导率有限元计算结果与辉长岩、辉绿岩及玄武岩实验测量结果进行比较,显示这3种岩石样品电导率与温度变化关系的斜率均与混合模型计算结果的斜率相接近,表明这些岩石在所选温度段导电机制与斜长石、辉石混合模型相似,用斜长石、辉石混合模型的电导率研究玄武岩、辉长岩及辉绿岩的导电性具有适用性.将混合模型有限元计算结果与玄武岩、辉长岩、辉绿岩覆盖区地壳大地电磁实测结果对比,发现大地电磁电导率结果位于混合模型计算结果范围内,用斜长石、辉石混合模型模拟玄武岩、辉长岩等岩石地壳具有一定的可行性. 相似文献
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研究由几种导体成分掺杂的混合物的整体电导率.对欧姆定律求平均,得到混合物电导率定义.对电流连续性方程求平均,得到混合物中电场增量方程.求电场增量方程在同种成分上的平均,并结合混合物电导率定义,得到混合物电导率公式.现有的三种混合物结构下电导率公式（电导率串联公式、并联公式和整体各向同性混合物电导率公式）都是混合物电导率公式的特例.进一步分析得出结论,混合物整体电导率是各成分电导率与整体电导率结构并联后的体积串联. 相似文献
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多孔介质结构的复杂性使其内部的流动非常复杂,通常不加简化就难以求解。格子Boltzmann方法以其无需简化就能处理复杂孔隙结构的优势,成为研究多孔介质流动的一种有效的数值计算方法。从现场采集的彩色铸体剖面图中提取孔隙信息重构了一种接近真实岩石的3D孔隙介质数字岩心。在此基础上,使用格子Boltzmann方法进一步得到能准确求解多孔介质中流动问题的Navier-Stokes方程,用以研究孔隙岩石的渗流特性。该方法对简单模型渗透率的模拟结果与相应的解析解或实验测量结果吻合良好,对某油田6个样品的模拟结果与实验结果的误差不大,说明格子Boltzrnann方法可以用来计算实际问题的渗透率。 相似文献
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应用电场理论研究混合物的电性，得出了混合物的电导率公式和介电常数公式．这一结果表明：混合物的电导率决定于混合物各成分电导率的均值和方差；混合物的介电常数决定于混合物各成分介电常数的均值和方差．作为所得结果的应用，给出了岩石的电导率公式和介电常数公式． 相似文献
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混合物整体电导率和各成分电导率的关系 总被引：2，自引：0，他引：2
文中给出了混合物中电场方程的平均形式,在此基础上推导出了混合物整体电导率和各成分电导率的关系,并通过类比给出了混合物整体介电常数和各成分介电常数的关系,作为所得结果的应用,给出了岩石的电导率公式。 相似文献
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现有海洋可控源电磁三维数值模拟方法大多基于电导率各向同性介质理论,不能模拟海底地层电导率各向异性的实际情况.本文给出了电导率各向异性三维介质中电性源海洋可控源电磁二次电场的边值问题以及相应的变分问题,采用长方体单元对研究区域剖分,将场分量定义在剖分单元的边上,利用矢量有限单元法求解变分问题,实现了电导率任意各向异性海洋可控源电磁三维矢量有限元数值模拟.这个新的正演方法可以计算电导率任意各向异性三维地电模型的海洋可控源电磁响应,基于二次场矢量有限元法直接求解电磁场,避免了传统有限元方法可能遇到的伪解问题和难于处理电场法向分量不连续的问题,提高了数值模拟计算精度.一维电导率各向异性模型电磁场数值解与解析解吻合得相当好,无论在源附近还是远离源处相对误差均不超过1%.电导率各向异性二维模型的计算结果与已有文献采用的非结构有限元模拟结果十分吻合.三维地电模型数值模拟结果显示,电导率各向异性张量电导率主轴分量和欧拉角对不同装置海洋可控源电磁响应均有着明显的影响. 相似文献
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高频电磁波测井同时求解视电导率和视介电常数 总被引：6，自引：0，他引：6
利用 Ｌａｍｂｅｒｔ Ｗ函数的性质,针对单发单收和单发双收两种电磁波测井仪器,给出 了一种求解视介电常数和视电导率的方法．理论分析和数值实验表明,该方法在计算速度和 精度方面,明显优于传统的求解复杂非线性方程组的方法．与查表方法相比,该方法不需要 预先计算大量图版,且精度较高． 相似文献
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Mohamed Mahmoud Gomaa 《Geophysical Prospecting》2009,57(6):1091-1100
This paper is devoted to study the effect of saturation, with distilled water, on AC electrical conductivity and dielectric constant of a fully and partially saturated hematitic sandstone sample (Aswan area, Egypt). The saturation of the sample was changed from full saturation to partial saturation by air drying. Complex resistivity measurements at room temperature (∼16° C) were performed in the frequency range from 10 Hz to 100 kHz. We used non-polarizing Cu/CuSO4 gel electrodes. Experimental electrical spectra indicate, generally, that the electrical conductivity and dielectric constant vary strongly with water saturation and frequency. The low-frequency electrical conductivity and dielectric constant are supposed to be mainly controlled by surface conduction and polarization of the electrical double layer. Power law behaviours with frequency were noticed. The change in electrical conductivity and dielectric constant with increasing water content is fast at low saturations and slow at high saturations. The behaviour of the electrical conductivity and dielectric constant, with increasing water content, was argued to be the orientational polarization of bound water for very low saturations, displacement of the excess surface charges for relatively low saturations and free exchange of excess ions in double layer with the bulk electrolyte and generation of transient diffusional potentials, which lag behind the applied field for high saturations in addition to membrane polarization on clay and at inter-grain and grain surface water throats having selective charge transport properties. Also, from the data a semi-percolation behaviour was found that has a peak of dielectric constant at a certain concentration and an abrupt change in conductivity at another saturation. 相似文献
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The thermal effects of magmatic intrusion on the conductivity and dielectric constant of magnetic rocks from Hammamat sediments, NE desert, Cairo, Egypt (latitude ∼27° and longitude ∼33°) were investigated experimentally in the laboratory using nonpolarizing electrodes. Granitic magma was intruded into the Hammamat sediments, which are a mixture of mainly magnetite with sandstone and due to the thermal effect the area around was extensively heated and altered to different degrees. Due to this magma intrusion, magnetite was transformed (by heating) to hematite to different degrees according to its location from the intrusion. Complex impedance measurements were performed in the frequency range of 10 Hz to 100 KHz at normal temperature (∼20°C) and at a relative humidity of ∼50% RH. Samples were collected at different locations perpendicular to the core of the magma intrusion. Experimental data indicate that the electrical properties vary strongly as we move away (with distance) from the magma intrusion. The conductivity of hematite is ∼10−2 S/m and that of magnetite is ∼104 S/m. As we move from magnetite to hematite (to the core of the magma intrusion) it is supposed that the conductivity will decrease but it was found that the conductivity increases (which is supposed to be abnormal). The conductivity increases with increasing frequency from ∼10−8 S/m to ∼10−5 S/m with almost power‐law dependence on frequency. The conductivity increases in the order of one decade due to the variation from magnetite to hematite. The increase of conductivity, as we move from magnetite to hematite, was argued to be due to the heating that partially or completely melts the samples, thus the porosity of the samples was decreased and accordingly the conductivity and dielectric constant increased. It was also supposed that the grains of the conductor in the samples are coated or isolated with insulator material. A percolation behaviour for the conductivity and dielectric constant, characteristic of random conductor‐insulator mixtures, was found with distance, where continuous paths of the conductive material occur accompanied by peaking of the dielectric constant. Complex impedance plots show that as we move in the direction of altered samples (towards hematite) the relation between real and imaginary impedance changes from a linear form to an arc of a depressed semicircle and increases in depression as we move in the direction of the altered samples, which is consistent with the above interpretation. 相似文献
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Summary The D.C. and A.C. electric conductivity and the dielectric constant of a set of 8 eclogites from the Bohemian Massif is studied under high temperatures (200–900°C) and pressures (up to 20 kb). The electric conductivity of the studied eclogites is strongly affected by the content of symplectite minerals: their conductivity increases with their concentration. The average increase of conductivity with pressure between 1 kb and 20 kb is about 50% and is manifested particularly below 4 kb. The correlation between the electric conductivity and the dielectric constant is very high (r=0.975) and allows for the values of one parameter to be estimated from those of another. 相似文献
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Velocity and absorption tomograms are the two most common forms of presentation of radar tomographic data. However, mining personnel, geophysicists included, are often unfamiliar with radar velocity and absorption. In this paper, general formulae are introduced, relating velocity and attenuation coefficient to conductivity and dielectric constant. The formulae are valid for lossy media as well as high-resistivity materials. The transformation of velocity and absorption to conductivity and dielectric constant is illustrated via application of the formulae to radar tomograms from the Hellyer zinc–lead–silver mine, Tasmania, Australia. The resulting conductivity and dielectric constant tomograms constructed at Hellyer demonstrated the potential of radar tomography to delineate sulphide ore zones. 相似文献
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单发双收电磁波测井测的是两接收线圈的感应电动势之间的相位差和幅度比及测井响应与地层介电常数和电导率两者有关的一般情况,对此本文推导出其在二维轴对称介质中响应函数公式,给出它的快速算法.通过建立二维非均质反演Jacobi矩阵与响应函数的关系,开辟了Jacobi矩阵快速算法构造的有效途径.从理论上得到了在均匀介质中相位差和幅度比对地层的介电常数和电导率的空间分布探测特性具有交叉互补性的结果,即相位差对电导率（介电常数）的空间分布敏感区域和幅度比对介电常数（电导率）的空间分布敏感区域是相同的. 相似文献
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We present the measured dielectric constant and conductivity of soil samples contaminated by diesel oil. Measurements of the electrical properties of contaminated soil were carried out using a guarded-electrode sample holder and a parallel-plate sample holder in the frequency range 2–250 MHz. Two different soil samples were measured. Both the dielectric constant and the conductivity of the contaminated soils and uncontaminated soils are compared. The measurement results show that the change in the dielectric constant of soils before and after diesel oil contamination is small but significant. These results provide a basis for using ground-penetrating radar or other high-frequency electromagnetic sensors in the detection of soil contamination. 相似文献
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This study develops a lattice Boltzmann method (LBM) with a two-relaxation-time collision operator (LTRT) to solve saltwater intrusion problems. A directional-speed-of-sound (DSS) technique is introduced to take into account the hydraulic conductivity heterogeneity and discontinuity, as well as the velocity-dependent dispersion coefficient. The forcing terms in the LTRT model are customized in order to recover the density-dependent groundwater flow and mass transport equations. Using the LTRT with the squared DSS achieves at least second-order accuracy. The LTRT results are verified with Henry’s analytical solution as well as compared with several numerical examples and modified Henry problems that consider heterogeneous hydraulic conductivity and velocity-dependent dispersion. The numerical results show good agreement with the Henry analytical solution and with the numerical solutions obtained by other numerical methods. 相似文献
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《Journal of Applied Geophysics》2000,43(2-4):189-197
A method to determine ground-penetrating radar (GPR) velocities, which utilize Brewster angles, is presented. The method determines the relative dielectric constant ratio at interface boundaries where the radar wave is traveling from a low-velocity to a high-velocity medium. Using Brewster angle analysis is currently the only means to determine the velocity of the medium below the deepest detectable reflector. Data are presented for water-saturated clean sand with a known velocity of 0.52 m/ns, which overlays a sandy silt with a known velocity of 0.13 m/ns. Brewster angle analysis of a common midpoint (CMP) survey gives a relative dielectric constant ratio of 33/4.77. The Brewster angle relative dielectric constant ratio is in good agreement with the relative dielectric constant ratio calculated from the known velocities. 相似文献
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Time domain reflectometry (TDR) is a highly accurate and automatable method for determination of porous media water content and electrical conductivity. Water content is inferred from the dielectric permittivity of the medium, whereas electrical conductivity is inferred from TDR signal attenuation. Empirical and dielectric mixing models are used to relate water content to measured dielectric permittivity. Clay and organic matter bind substantial amounts of water, such that measured bulk dielectric constant is reduced and the relationship with total water content requires individual calibration. A variety of TDR probe configurations provide users with site‐ and media‐specific options. Advances in TDR technology and in other dielectric methods offer the promise not only for less expensive and more accurate tools for electrical determination of water and solute contents, but also a host of other properties such as specific surface area, and retention properties of porous media. Copyright © 2002 John Wiley & Sons, Ltd. 相似文献