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| Accuracy comparison and improvement strategy in numerical modeling of elastic wave in frequency-domain by high-order finite-difference scheme |
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MA Chao1, SHEN Jinsong1,2,3, LI Xining1
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(1.College of Geophysics and Information Engineering in China University of Petroleum, Beijing 102249, China;2.State Key Laboratory of Petroleum Resources and Prospecting in China University of Petroleum, Beijing 102249, China;3.CNPC Key Lab of Geophysical Exploration in China University of Petroleum, Beijing 102249, China)
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| Abstract: |
| D finite-difference operators in second-order as well as fourth-order accuracy based on staggered grid in frequency-domain are derived. By combining optimal difference coefficients with lumped mass methods with a weighted average, numerical anisotropy can be suppressed, which enables accurate dispersion comparisons among these difference operators. Using a homogeneous isotropic medium, simulation precisions of different operators are compared to contrast the accuracy and error magnitude between second-order and fourth-order operators. It appears that the resulting error is smaller than 2％ if the number of grid points required per smallest shear wavelength increases to 3. Meanwhile, in contrast to those based on conventional grid, difference operators based on staggered grid can be conducted in model simulations in fluids. |
| Key words: frequency-domain staggered-grid finite-difference operator numerical anisotropy |
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