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Microseismic monitoring has been a key technology in the exploitation of unconventional reservoirs. Numerical simulation of various types of microseismic sources is the foundation for source location and source mechanism inversion. In this paper, equations of equivalent body forces with stress components and particle velocity components are derived, then they are included in the finite difference...
By the finite difference method, the two-dimensional elastic wave equation is processed to get the finite difference equation. Under the stability condition, the initial, boundary and absorbing boundaries are written as discrete forms for constructing the finite difference equations of wave motion problem. A FDM program package for elastic wave motion problem is developed. The geometric parameters...
This paper shows finite difference method for solving the Black-Scholes problems. The proposed FDM aims to make the process efficiently. Then the stability of the FDM was proposed. Finally, a numerical example is given to illustrate the ability of the proposed method to Black-Scholes problems.
The thermal stability of the superconducting magnet is one of the important issues for MRI system. In this work, the quench behavior of superconducting MgB2 magnet for MRI is studied by use of the finite element method (FEM) and finite difference method (FDM). This work considers a close winding coil subjected to a thermal disturbance that is a three-dimensional problem. The effective value is adopted...
In this paper, the finite element method (FEM) and the finite difference method (FDM) were compared for the resolution of the 3D isotropic EEG forward problem, from the point of view of computational complexity and accuracy. The effects of dipole eccentricity and grid model size on solution accuracy and efficiency are addressed in the simulations. The present simulation study indicates that the numerical...
A multi region finite difference method is described and applied to the one dimension, semi linear, singularly perturbed boundary value problem (SPBVP). The process of developing high precision algorithms for this problem is described and it is shown that when the multi region method is combined with the use of these high order algorithms, numerical solutions can achieve accuracies in the range of...
Biological soft and fluid tissues, due to the high percentage of water, are nearly incompressible and consequently their velocity fields are nearly divergence-free. The two most commonly used types of vector field representation are piece-wise continuous representations, which are used in the finite element method (FEM), and discrete representations, which are used in the finite difference method...
The purpose of the present study is to examine the effects of the White Matter (WM) anisotropy on the scalp electroencephalogram (EEG). The finite difference method (FDM) was used to model the head volume conductor with three kinds of inhomogeneous and anisotropic WM conductivities estimated by the volume constraint method. A current dipole was used to simulate the brain electrical activity with varying...
In this paper, the FDM is extended to analyze the effective anisotropic permittivity of composite materials with non-isotropic or biaxial anisotropic inclusions. Numerical experiments have demonstrated that this technique has the ability to effectively analyze three-dimensional complex composite materials with macroscopic anisotropic dielectric properties.
In this paper, the characters of electromagnetic field in Ka band square coaxial waveguide (SCW) are analyzed by the finite differential method(FDM), and the dispersion characteristic curves of two lowest TM modes are calculated. Firstly, the cross section of SCW is plotted with square grids. Then the components of the longitudinal field (EZ) are analyzed and the equations based on FDM are derived...
We have developed a software suite for finite difference method (FDM) model construction, visualization and quasi-static simulation to be used in bioelectric field modeling. The aim of the software is to provide a full path from medical image data to simulation of bioelectric phenomena and results visualization. It is written in Java and can be run on various platforms while still supporting all features...
We have developed a software suite for finite difference method (FDM) model construction, visualization and quasi-static simulation to be used in bioelectric field modeling. The aim of the software is to provide a full path from medical image data to simulation of bioelectric phenomena and results visualization. It is written in Java and can be run on various platforms while still supporting all features...
New implantable ECG devices may provide more stable and noiseless measurements compared to body surface ECG measurements. When the electrodes are moved to inside of the body the way the ECG measurement is done is changing. Modeling can be an effective way to study effects of implantation to the capacity of electrodes to measure ECG compared to surface measurements. This work introduces a project where...
New miniaturized portable ECG measuring devices may require reduced electrode size and distance. Modeling tools can be useful in predicting the behavior of electric field between electrodes. This work introduces a project where the effect of interelectrode distance (IED) of ECG precordial electrodes was studied with a model of the thorax as a volume conductor and with body surface potential map (BSPM)...
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