scholarly journals Phase-error analysis of high-order finite difference time domain scheme and its influence on calculation results of impulse response in closed sound field

2007 ◽  
Vol 28 (5) ◽  
pp. 295-309 ◽  
Author(s):  
Shinichi Sakamoto
Keyword(s):  
Finite Difference ◽  
Error Analysis ◽  
Impulse Response ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Phase Error ◽  
Sound Field ◽  
Calculation Results ◽  
High Order Finite Difference ◽  
Difference Time

scholarly journals 2D Multitransient Electromagnetic Response Modeling of South China Shale Gas Earth Model Using an Approximation of Finite Difference Time Domain with Uniaxial Perfectly Matched Layer

2016 ◽  
Vol 2016 ◽  
pp. 1-20 ◽  
Author(s):  
Olalekan Fayemi ◽  
Qingyun Di
Keyword(s):  
Finite Difference ◽  
Impulse Response ◽  
South China ◽  
Shale Gas ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Perfectly Matched Layer ◽  
Electromagnetic Response ◽  
Earth Model ◽  
Difference Time

In this study, we introduced multitransient electromagnetic (MTEM) method as an effective tool for shale gas exploration. We combined the uniaxial perfectly matched layer (UPML) equation with the first derivative diffusion equation to solve for a finite difference time domain (FDTD) UPML equation, which was discretized to form an algorithm for 3D modeling of earth impulse response and used in modeling MTEM response over 2D South China shale gas model. We started with stepwise demonstration of the UPML and the FDTD algorithm as an effective tool. Subsequently, quantitative study on the convergence of MTEM earth impulse response was performed using different grid setup over a uniform earth material. This illustrates that accurate results can be obtained for specified range of offset. Furthermore, synthetic responses were generated for a set of geological scenarios. Lastly, the FDTD algorithm was used to model the MTEM response over a 2D shale gas earth model from South China using a PRBS source. The obtained apparent resistivity section from the MTEM response showed a similar geological setup with the modeled 2D South China shale gas section. This study confirmed the competence of MTEM method as an effective tool for unconventional shale gas prospecting and exploitation.

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