scholarly journals Calculation of dielectric constant of buffer layer graphene on SiC measured by spectroscopy ellipsometry using Gauss-Newton numerical inversion method

2016 ◽  
Author(s):  
Kiki Megasari ◽  
Eri Widianto ◽  
Vita Efelina ◽  
Kamsul Abraha ◽  
Andrew Thye Seen Wee ◽  
...  
Keyword(s):  
Dielectric Constant ◽  
Buffer Layer ◽  
Inversion Method ◽  
Numerical Inversion ◽  
Layer Graphene

Identification of natural gas fractured volcanic formation by using numerical inversion method

2013 ◽  
Vol 108 ◽  
pp. 172-179 ◽  
Author(s):  
Fengqi Tan ◽  
Hongqi Li ◽  
Zhongchun Sun ◽  
Xiaohe Yu ◽  
Min Ouyang
Keyword(s):  
Natural Gas ◽  
Inversion Method ◽  
Numerical Inversion ◽  
Volcanic Formation

Ü-Net: Deep-Learning Schemes for Ground Penetrating Radar Data Inversion

2020 ◽  
Vol 25 (2) ◽  
pp. 287-292
Author(s):  
Longhao Xie ◽  
Qing Zhao ◽  
Chunguang Ma ◽  
Binbin Liao ◽  
Jianjian Huo
Keyword(s):  
Neural Network ◽  
Dielectric Constant ◽  
Data Compression ◽  
Ground Penetrating Radar ◽  
Quantitative Imaging ◽  
Inversion Method ◽  
Output Unit ◽  
Data Inversion ◽  
Ground Penetrating ◽  
Constant Distribution

Electromagnetic (EM) inversion is a quantitative imaging technique that can describe the dielectric constant distribution of a target based on the EM signals scattered from it. In this paper, a novel deep neural network (DNN) based methodology for ground penetrating radar (GPR) data inversion, known as the Ü-net is introduced. The proposed Ü-net consists of three parts: a data compression unit, U-net, and an output unit. The novel inversion approach, based on supervised learning, uses a neural network to generate the dielectric constant distribution from GPR data. The GPR data can be compressed and reshaped the size using data compression unit. The U-net maps the object features to the dielectric constant distribution. The output unit meshes the dielectric constant distribution more finely. A novel feature of the proposed methodology is the application of instance normalization (IN) to the DNN EM inversion method and a comparison of its performance to batch normalization (BN). The validity of this technique is confirmed by numerical simulations. The Mean-Square Error of the test data sets is 0.087. These simulations prove that the instance normalization is suitable for GPR data inversion. The proposed approach is promising for achieving quality dielectric constant images in real-time.

Direct numerical inversion method for kinetic ellipsometric data II Implementation and experimental verification

2002 ◽  
Vol 41 (22) ◽  
pp. 4519 ◽  
Author(s):  
Alfred Hofrichter ◽  
Dmitri Kouznetsov ◽  
Pavel Bulkin ◽  
Bernard Drévillon
Keyword(s):  
Experimental Verification ◽  
Inversion Method ◽  
Numerical Inversion

GEOELECTRIC MODELS OF CRETACEOUS RESERVOIRS OF WEST SIBERIA BY THE RESULTS OF INTEGRATED INTERPRETATION OF ELECTRIC LOG DATA

2020 ◽  
pp. 77-86
Author(s):  
K. V. Sukhorukova ◽  
◽  
A. M. Petrov ◽  
O. V. Nechaev ◽  
◽  
...  
Keyword(s):  
Dielectric Constant ◽  
Electrical Resistivity ◽  
Radial Profile ◽  
West Siberia ◽  
Electrical Anisotropy ◽  
Numerical Inversion ◽  
Quantitative Interpretation ◽  
Drilling Mud ◽  
Sedimentary Deposits ◽  
Host Rocks

The results of testing a new software-methodological complex of numerical inversion on the data of electrical logging, measured in vertical wells in the intervals of Cretaceous reservoirs in West Siberia. They are characterized by a complex radial profile of electrical resistivity, electrical anisotropy and polarizability. As a result of the quantitative interpretation of a set of electrical (LLS) and electromagnetic (VEMLS) logging data, realistic geoelectric models of sedimentary deposits of the Latitudinal Ob Region were constructed, and the relationships between electrical anisotropy and dielectric constant with a thin-layered structure and clayiness of rocks were established. The software developed at IPGG SB RAS for the joint numerical inversion of the LLS and VEMLS signals, as well as the method for the quantitative interpretation of the data of these methods, provide the construction of a detailed geoelectric model of sedimentary deposits, which takes into account the influence of host rocks, zones changed by the filtration of the drilling mud, wells with mud and sizes of logging equipment. As a result, the electrical resistivity of thin reservoir layers surrounded by contrasting host rocks is specified, the electrical anisotropy is revealed, and the dielectric constant is estimated.

scholarly journals Consolidation of Viscoelastic Soil With Vertical Drains for Continuous Drainage Boundary Conditions Incorporating a Fractional Derivative Model

2021 ◽  
Vol 8 ◽  
Author(s):  
Peishuai Chen ◽  
Jiacheng Li ◽  
Minghua Huang ◽  
Dejie Li
Keyword(s):  
Boundary Conditions ◽  
Fractional Derivative ◽  
Inversion Method ◽  
Numerical Inversion ◽  
Soft Ground ◽  
Large Area ◽  
Vertical Drains ◽  
Fractional Derivative Model ◽  
Continuous Drainage ◽  
Consolidation Settlement

In geotechnical engineering, vertical drainage is the most economical method for accelerating the consolidation of a large area of soft ground. In this study, we analyze the viscoelasticity of the soil and the actual drainage conditions on the top surface of the soil, and then we introduce continuous drainage boundary conditions and adopt a fractional derivative model to describe the viscoelasticity of the soil. With the use of a viscoelasticity model, the governing partial differential equation for vertical drains under continuous drainage boundary conditions is obtained. With the application of the Crump numerical inversion method, the consolidation solution for vertical drains is also obtained. Further, the rationality of the proposed solution is verified by several examples. Moreover, some examples are provided to discuss the influence of interface drainage parameters on the top surface of soil and the viscoelasticity parameters of soil on the consolidation behavior of vertical drains. The proposed method can be applied in the fields of transport engineering to predict the consolidation settlement of a foundation reinforced by vertical drains.

Inversion of Microwave Scattering Patterns

1971 ◽  
Vol 49 (24) ◽  
pp. 3082-3094 ◽  
Author(s):  
A. Fedotowsky ◽  
G. Boivin ◽  
R. Tremblay
Keyword(s):  
Dielectric Constant ◽  
Radial Variation ◽  
Inversion Method ◽  
Microwave Scattering ◽  
Scattering Pattern ◽  
Dielectric Target

An inversion method which reproduces the radial variation of dielectric constant in a dielectric target from its microwave scattering pattern is presented. Inversion criteria are developed showing what part of the target can be reconstructed. The technique is applied to experimentally measured scattering patterns.

Numerical inversion method for the Laplace transform based on Boubaker polynomials operational matrix

2021 ◽  
Author(s):  
Rachid Belgacem ◽  
Ahmed Bokhari ◽  
Salih Djilali ◽  
Sunil Kumar
Keyword(s):  
Laplace Transform ◽  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Operational Matrix ◽  
Inversion Method ◽  
Numerical Inversion ◽  
Homotopy Perturbation ◽  
Boubaker Polynomials ◽  
The Laplace Transform ◽  
Good Agreement

We investigate through this research the numerical inversion technique for the Laplace transforms cooperated by the integration Boubaker polynomials operational matrix. The efficiency of the presented approach is demonstrated by solving some differential equations. Also, this technique is combined with the standard Laplace Homotopy Perturbation Method. The numerical results highlight that there is a very good agreement between the estimated solutions with exact solutions.

Application of a Buffer Layer for the Dielectric Measurement of Thin Polymer Films

2001 ◽  
Vol 699 ◽  
Author(s):  
C. K. Chiang ◽  
Wataru Sakai
Keyword(s):  
Dielectric Constant ◽  
Buffer Layer ◽  
Polymer Films ◽  
Measurement Method ◽  
High Dielectric Constant ◽  
Electrical Characterization ◽  
Dielectric Measurement ◽  
Buffer Layers ◽  
Dielectric Constant Measurement ◽  
High Dielectric

AbstractA buffered dielectric measurement method is described. We added a thin buffer polymer layer to a polymer film before depositing aluminum electrodes. This is a modification to conventional parallel plate dielectric constant measurement method. It still has well-defined geometric factor for determining the dielectric constant. We designed the buffer layer using a simple RC model. It was determined that the buffer layer should be a high dielectric constant polymer. Two high dielectric constant polymers were selected to be buffer layers. Layered samples with structures ABA and ABC were discussed, where A is the buffer layer. We show that the method not only provides a way to preserve the structure of special polymer films, but also is able to adjust its electrical characterization to a convenient level.

A Recent Laplace Inversion Technique Applied to a Transmission Line Problem

1978 ◽  
Vol 15 (3) ◽  
pp. 243-246 ◽  
Author(s):  
G. Ledda ◽  
N. Mullineux ◽  
J. R. Reed
Keyword(s):  
Transmission Line ◽  
Inversion Method ◽  
Numerical Inversion ◽  
Orthogonal Functions ◽  
Laplace Inversion ◽  
Inversion Technique

A numerical inversion method employing orthogonal functions is tested on an idealized transmission line problem. The reasons for its shortcomings are qualitatively discussed.

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