2D finite-difference operators in second-order as well as fourth-order accuracy based on staggered grid in frequen-cy-domain are derived. By combining optimal difference coefficients with lumped mass methods with a weighted average, nu-merical anisotropy can be suppressed, which enables accurate dispersion comparisons among these difference operators. U-sing 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 con-ventional grid, difference operators based on staggered grid can be conducted in model simulations in fluids.%推导基于二维交错网格的二阶和四阶频率域弹性波有限差分算子，并结合最优化差分系数和质量加权平均方法压制数值各向异性。基于均匀各向同性介质比较不同差分算子的模拟精度和频散关系，并详细比较二阶算子和四阶算子的精度和误差量级。结果表明，当采用交错网格最优化四阶差分算子，单位横波波长内含3个及以上网格点时，可将模拟误差控制在2%以内。同时，相对于常规网格，基于交错网格的差分算子可用于对含流体介质模型的模拟。
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