Pseudo spectrum method of first-order acoustic wave equation finite-difference schemes with fourth-order time difference accuracy
Tang Huaigu, He Bingshou
Key Laboratory of Submarine Geosciences and Prospecting Technologies, Ministry of Education, Ocean University of China, Qingdao, Shandong 266100, China
Abstract：In seismic numerical simulation,pseudo spectrum method is unaffected by numerical dispersion results from difference of space derivative.However,the regular pseudo spectrum method is applied in difference scheme with second-order accuracy of time difference,which means the method is still affected by numerical dispersion result from time difference with low accuracy.We prove that finite-difference schemes with fourth-order accuracy of time difference can suppress dispersion result from time difference.Furthermore,stability condition is looser when pseudo spectrum method applied in finite-difference schemes with fourth-order accuracy of time difference than in finite-difference schemes with second-order accuracy of time difference,which means calculation efficiency can be improved by enlarging time step.
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