The details of the construction and characteristics of the new finite - difference scheme are presented in this thesis , by using both the integration theorem and the taylor expansion theory . it is proved that the new approach has the second - order accuracy on the grids with axis - symmetric voronoi cells and at least has the first - order accuracy in general . according to this character of the scheme and the computational requirements of the finite - difference approach , a striping procedure is involved to decompose the velocity model into variable spatial size grids with a nearly constant tune step preserved 本文從積分定理和taylor展開兩個(gè)角度,詳細(xì)分析了基于voronoicell的非規(guī)則網(wǎng)格有限差分算法的構(gòu)造過程及性質(zhì),并且在理論上證明了本文的差分方法的精度與網(wǎng)格形狀的關(guān)系:當(dāng)voronoicell為關(guān)于節(jié)點(diǎn)的軸對(duì)稱圖形時(shí),本文差分方法具有二階精度;在一般的網(wǎng)格上,則至少具有一階精度。