A new staggered grid finite difference scheme optimised in the space domain for the first order acoustic wave equation

2018 ◽  
Vol 49 (6) ◽  
pp. 898-905 ◽  
Author(s):  
Wenquan Liang ◽  
Xiu Wu ◽  
Yanfei Wang ◽  
Jingjie Cao ◽  
Chaofan Wu ◽  
...  
Keyword(s):  
Wave Equation ◽  
Finite Difference ◽  
Acoustic Wave ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Staggered Grid ◽  
Acoustic Wave Equation ◽  
Space Domain ◽  
First Order

scholarly journals ONE-STEP EXTRAPOLATION METHOD USING CHEBYSHEV’S RECURRENCE RELATION APPLIED TO SEISMIC MODELING

2016 ◽  
Vol 34 (4) ◽  
Author(s):  
Laura Lara Ortiz ◽  
Reynam C. Pestana
Keyword(s):  
Wave Equation ◽  
Finite Difference ◽  
Acoustic Wave ◽  
Difference Scheme ◽  
Chebyshev Polynomials ◽  
Finite Difference Scheme ◽  
Acoustic Wave Equation ◽  
Seismic Modeling ◽  
First Order ◽  
One Step

ABSTRACT. In this work we show that the solution of the first order differential wave equation for an analytical wavefield, using a finite-difference scheme in time, follows exactly the same recursion of modified Chebyshev polynomials. Based on this, we proposed a numerical...Keywords: seismic modeling, acoustic wave equation, analytical wavefield, Chebyshev polinomials. RESUMO. Neste trabalho, mostra-se que a solução da equação de onda de primeira ordem com um campo de onda analítico usando um esquema de diferenças finitas no tempo segue exatamente a relação de recorrência dos polinômios modificados de Chebyshev. O algoritmo...Palavras-chave: modelagem sísmica, equação da onda acústica, campo analítico, polinômios de Chebyshev.

Three-dimensional acoustic wave equation modeling based on the optimal finite-difference scheme

2015 ◽  
Vol 12 (3) ◽  
pp. 409-420 ◽  
Author(s):  
Xiao-Hui Cai ◽  
Yang Liu ◽  
Zhi-Ming Ren ◽  
Jian-Min Wang ◽  
Zhi-De Chen ◽  
...  
Keyword(s):  
Wave Equation ◽  
Finite Difference ◽  
Acoustic Wave ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Three Dimensional ◽  
Equation Modeling ◽  
Acoustic Wave Equation
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