Localization of the electric-field distribution in graded core-shell metamaterials

The local electric-field distribution has been investigated in a core-shell cylindrical metamaterial structure under the illumination of a uniform incident optical field. The structure consists of a homogeneous dielectric core, a shell of graded metal-dielectric metamaterial, embedded in a uniform matrix. In the quasistatic limit, the permittivity of the metamaterial is given by the graded Drude model. The local electric potentials and hence the electric fields have been derived exactly and analytically in terms of hypergeometric functions. Our results showed that the peak of the electric field inside the cylindrical shell can be confined in a desired position by varying the frequency of the optical field and the parameters of the graded profiles. Thus, by fabricating graded metamaterials, it is possible to control electric-field distribution spatially. We offer an intuitive explanation for the gradation-controlled electric-field distribution.

Effective dielectric response of nonlinear composites with external ac and dc electric field

The perturbation method is developed to investigate the effective nonlinear dielectric response of Kerr composites when the external ac and dc electric field is applied. Under the external ac and dc electric field E-app=E-a(1+sin omegat), the effective coupling nonlinear response can be induced by the cubic nonlinearity of Kerr nonlinear materials at the zero frequency, the finite basic frequency omega, the second and the third harmonics, 2omega and 3omega, and so on. As an example, we have investigated the cylindrical inclusions randomly embedded in a host and derived the formulas of the effective nonlinear dielectric response at harmonics in dilute limit. For a higher concentration of inclusions, we have proposed a nonlinear effective-medium approximation by introducing the general effective nonlinear response. With the relationships between the effective nonlinear response at harmonics and the general effective nonlinear response, we have derived a set of formulas of the effective nonlinear dielectric responses at harmonics for a larger volume fraction. (C) 2004 American Institute of Physics.

Higher order response of nonlinear composite in external AC electric field

The fifth-order effective nonlinear responses at fundament frequency and higher-order harmonics are given for nonlinear composites, which obey a current-field relation of the form J = sigmaE + x\E\(2) E, if a sinusoidal alternating current (AC) external field with finite frequency omega is applied. As two examples, we have investigated the cylinder and spherical inclusion embedded in a host and, for larger volume fraction, also derived the formulae of effective nonlinear responses at higher-order harmonics by the aid of the general effective response definition. Furthermore, the relationships between effective nonlinear responses at harmonics are given. (C) 2003 Elsevier Science B.V. All rights reserved.

Effective response of a non-linear composite in external AC electric field

A general effective response is proposed for nonlinear composite media, which obey a current field relation of the form J = sigmaE + chi\E\(2) E when an external alternating current (AC) electrical field is applied. For a sinusoidal applied field with finite frequency omega, the effective constitutive relation between the current density and electric field can be defined as, = sigma(e) + chi(e) <\E(x, omega, t)\(2) E(x, omega, t)> + (. . .), where sigma(e) and chi(e) are the general effective linear and nonlinear conductive responses, respectively. The angled brackets <(. . .)> denotes the ensemble average. As two examples, we have investigated the cylindrical and spherical inclusions embedded in a host and also derived the formulae of the general effective linear and nonlinear conductive responses in dilute limit. For higher volume fraction of inclusions, we have proposed a nonlinear effective medium approximation (EMA) method to estimate the general effective response of nonlinear composites in external AC field. Furthermore, the effective nonlinear responses at harmonics are predicted by using the general effective response. (C) 2002 Elsevier Science B.V. All rights reserved.

准噶尔盆地低阻油藏实验研究及储层评价方法

Low resistivity reservoir is a special reservoir which is different from normal reservoir in identification and evaluation.Through core experiment and analysis, the achievement of which resistivity is resulted from clay additive electric conductivities and high bound water saturation in Junggar basin is gained. For accurately evaluating low resistivity, a good many of experiment have been completed, such as resistivity index and formation factor in hi^jher temperature and higher pressure, semi-permeability board, cation exchange, bound water, NMR (nucleus magnetism response), non-Nad water in different temperature and salinity, the experiments result show that lower resistivity has complex relation with these electric-parameters and chloric ion content in non-NaCl water.Based on comprehensive interpretation of NMR and normal resistivity data, the volume of moved water, bound water, moved oil and residual oil in the strata can be determined quantitatively and which have significant influence on reservoir recognition and perforation optimized.Experiment data (SEM mold, thin section, X ray diffraction, mercury penetration) can be used to analysis low resistivity forming and the relation between low resistivity and pore texture, to set up relation between porosity, permeability and petrophysical property. The reservoir was sorted, evaluated and described. The oil bedding in southern margin of Junggar basin is low porosity, low resistivity reservoir.Based on invasion theory of electric well-logging, modelling and inversion of resistivity well-logging are accomplished. For enhancing low resistivity resulted from higher bound water saturation and cation exchange, invasion period, invasion radius, the relation between fluid distribution in pore and response of laterolog logging have been studied. Virgin zone resistivity, invasion zone resistivity and invasion radius were inversed and which enhanced evaluation accuracy of reservoir. The method was used to process well-logging data in Luliang oilfield and southern margin in Junggar basin, and reservoir resistivity was enhanced effectively, appropriate oil saturation gained and it has better effect on oil exploration.