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应用分数阶微分对地震波稳恒Q值的时间域模拟
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作者 J.M.Carcione F.Cavallini +4 位作者 F.Mainardi A.Hanyga 张志中 安镇文 丁志峰 《世界地震译丛》 2005年第1期51-58,共8页
根据分数阶微分,在时间域应用新的模拟算法求解了Kjartansson的稳恒Q 值模型。在应力扩容公式中,代替2阶时间微分,Kjartansson的模型要求2γ阶的微分,这里γ为0<γ<1/2。应用Grunwald-Letnikov和中心差分近似计算了分数阶微分。... 根据分数阶微分,在时间域应用新的模拟算法求解了Kjartansson的稳恒Q 值模型。在应力扩容公式中,代替2阶时间微分,Kjartansson的模型要求2γ阶的微分,这里γ为0<γ<1/2。应用Grunwald-Letnikov和中心差分近似计算了分数阶微分。对整阶微分,上述方法是标准算子的有限差分的拓广。模拟中应用了傅里叶方法计算空间微分,因此,可以处理复杂的几何问题。合成井间地震实验展示了这种新颖模拟算法的能力。 展开更多
关键词 分数阶微分 地震波 稳恒Q值 时间域模拟 应力扩容公式
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Three-dimensional numerical modeling of fullspace transient electromagnetic responses of water in goaf 被引量:21
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作者 Chang Jiang-Hao Yu Jing-Cun. Liu Zhi-Xin 《Applied Geophysics》 SCIE CSCD 2016年第3期539-552,581,582,共16页
The full-space transient electromagnetic response of water-filled goaves in coal mines were numerically modeled. Traditional numerical modeling methods cannot be used to simulate the underground full-space transient e... The full-space transient electromagnetic response of water-filled goaves in coal mines were numerically modeled. Traditional numerical modeling methods cannot be used to simulate the underground full-space transient electromagnetic field. We used multiple transmitting loops instead of the traditional single transmitting loop to load the transmitting loop into Cartesian grids. We improved the method for calculating the z-component of the magnetic field based on the characteristics of full space. Then, we established the full- space 3D geoelectrical model using geological data for coalmines. In addition, the transient electromagnetic responses of water-filled goaves of variable shape at different locations were simulated by using the finite-difference time-domain (FDTD) method. Moreover, we evaluated the apparent resistivity results. The numerical modeling results suggested that the resistivity differences between the coal seam and its roof and floor greatly affect the distribution of apparent resistivity, resulting in nearly circular contours with the roadway head at the center. The actual distribution of apparent resistivity for different geoelectrical models of water in goaves was consistent with the models. However, when the goal water was located in one side, a false low-resistivity anomaly would appear on the other side owing to the full-space effect but the response was much weaker. Finally, the modeling results were subsequently confirmed by drilling, suggesting that the proposed method was effective. 展开更多
关键词 GOAF WATER mine transient electromagnetic method fullspace finite-difference time-domain method
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Finite difference time domain method forward simulation of complex geoelectricity ground penetrating radar model 被引量:5
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作者 戴前伟 冯德山 何继善 《Journal of Central South University of Technology》 EI 2005年第4期478-482,共5页
The ground penetrating radar(GPR) forward simulation all aims at the singular and regular models, such as sandwich model, round cavity, square cavity, and so on, which are comparably simple. But as to the forward of c... The ground penetrating radar(GPR) forward simulation all aims at the singular and regular models, such as sandwich model, round cavity, square cavity, and so on, which are comparably simple. But as to the forward of curl interface underground or “v” figure complex model, it is difficult to realize. So it is important to forward the complex geoelectricity model. This paper takes two Maxwell’s vorticity equations as departure point, makes use of the principles of Yee’s space grid model theory and the basic principle finite difference time domain method, and deduces a GPR forward system of equation of two dimensional spaces. The Mur super absorbed boundary condition is adopted to solve the super strong reflection on the interceptive boundary when there is the forward simulation. And a self-made program is used to process forward simulation to two typical geoelectricity model. 展开更多
关键词 ground penetrating radar finite difference time domain method forward simulation ideal frequency dispersion relationship
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