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在任意相邻两个接收点各种校正条件相等的情况下,由公式t=1/v××(x_i~2-2xoxi+4h~2)~(1/2)可以导出下列方程组:共中A,B,C,…,G是常量;X_i=v_2,Y_i=xo,Z_j=h_2。 v——岩石中的地震波速度, h——爆炸点到界面垂距的平均值, xo——对应t_(min)的横坐标。解上面方程组便求得v,h,xo,。已知v,h,xo,利用交点法可求得界面上任意点A的坐标表达式: zA-Z0/2=-x0/Z0(xA-x0/2), ZA/Z0=(XA-(i+1)△x)/(x0-(i+1)△x) 解此方程组便得到界面上任意点的坐标(zA,xA)。此外,利用椭圆法也可求得下列方程组: 解此方程组,也可求得界面上点的坐标。若界面上各点坐标已知,把已知参量送到机器里,便可自动描绘出反射界面。现代电子计算机的出现和使用为各种生产的自动化开辟了广阔的道路。同样,野外地球物理探矿的生产自动化也是目前所迫切需要的。本文试图讨论关于地球物理探矿中反射波地震界面自动勾制的数学原理。根据这一原理,电子计算机的设计和制造家们不难设计和制造出为此用途的专用电子计算机——数字机和模拟机,也不难根据这一原理编成解题程序,在通用电子计算机上找出问题的解答。
The following equations can be derived from the formula t = 1 / v × × (x_i ~ 2-2xoxi + 4h ~ 2) ~ (1/2) when the correction conditions are the same for any two adjacent reception points: A, B, C, ..., G are constants; X_i = v_2, Y_i = xo, Z_j = h_2. v - the seismic wave velocity in the rock, h - the average of the detonation point to the interfacial offset, xo - the abscissa corresponding to t_ (min). Solve the above equations to obtain v, h, xo ,. Known v, h, xo, the use of intersection point method can be obtained at any point on the interface coordinates of the expression A: zA-Z0 / 2 = -x0 / Z0 (xA-x0 / 2), ZA / Z0 = i + 1) △ x) / (x0- (i + 1) △ x) Solving this system gives the coordinates (zA, xA) of any point on the interface. In addition, the use of elliptic method can also be obtained by the following equations: Solution of this equation, but also can be obtained on the interface point coordinates. If the coordinates of the points on the interface are known, the known parameters can be sent to the machine to automatically draw the reflection interface. The advent and use of modern electronic computers have opened up vastly wider roads for the automation of production. Similarly, the production automation of field geophysical prospecting is also urgently needed. This article attempts to discuss the mathematical principles that are automatically contained in the reflection seismic interface in geophysical prospecting. According to this principle, the design and manufacture of electronic computer manufacturers are not difficult to design and manufacture of special purpose computers for this purpose - digital machines and simulators, it is not difficult according to this principle compiled problem solving procedures, General Electric Find answers to questions on your computer