摘要
从位场变换理论出发,可导出适用于起伏地形上的重力异常值直接反演单一密度界面的迭代公式和Δg(x,y,-z)=∑(-1)∑F^(-1)[G_(■~*(u,v,0)]·■Δg■(x,y)=Δg(x,y,-z)+F^(-1)[G(u,v,0)](-1)∑F^(-1)[G_■~*(u,v,0)]·■以上的迭代公式是绝对收敛的,其速代过程是稳定的,当引入一个收敛因子后,可提高迭代收敛的速度。因此,在已知单一密度界面上某点的深度后,只要对重力异常作一定处理,就可以利用迭代公式实现界面反演。模型试算结果表明,此方法精度高,迭代稳定性好,适合山区重力资料的反演解释。
On the basis of potential field transform theory,the following iter- ative formulas for single interface inversion of gravity data observed on rough terrain were derived: Δg(x,y,-z)=(-1)~nF^(-1)[G_n(u,v,0)]· and Δg_0(x,y)=Δg(x,y,-Z)+F^(-1)[G(u,v,0) (-1)~nF^(-1)[G_n~*(u,v,0)]· These formulas are absolutely convergent,and the iterations sta- ble.Convergence speeds up after a convergence factor is introduced. Having known the depth of a point of a density interface,one can achieve the interface inversion of routinely processed gravity data by using the iterative formulas. Model trial shows that this method is accurate,and the iteration is stable.Therefore,the method is suitable to the inversion of hilly-area gravity data.
出处
《石油地球物理勘探》
EI
CSCD
北大核心
1990年第2期201-211,共11页
Oil Geophysical Prospecting
关键词
单一密度界面反演
起伏地形观测重力异常
傅里叶变换
迭代反演
single density-interface inversion
gravity data observed on rough terrain
Fourier transform
iterative inversion
