基于窗口变换与多边形网格的三维井壁建模方法

The well inner-surface model based on window transformation and polygon mesh

在多臂井径测井资料转换中,物理窗口的测试点向量与物理窗口平移变换矩阵相乘,再与窗口缩放矩阵相乘,最后与屏幕显示平移变换矩阵相乘,得到了屏幕窗口显示点向量。将三维圆柱坐标系的任意点P(ρ,θ,Y)转换为笛卡尔坐标系形式,再以视角Ф将P投影到迪卡尔坐标系的一个坐标平面。该投影点可以通过窗口变换的方法转换到计算机显示屏幕窗口,将同一深度多独立臂井径所对应的多个点按上述方法转换到计算机屏幕显示窗口并连线就得到了该深度截面多边形。不同深度截面多边形在纵向上连接并将背面线消去就得到了基于多边形网格的三维井壁模型。

A point vector of physic window multiplied by transforming matrixes and scaling matrix,makes the point vector of screen window.When transferring a point P(ρ,θ,Y) form cylindrical coordinate system to cartesina system,we got a projection in one surface of cartesian coordinate system.This point matrix could be showed on the screen surface by window transformation method. When we transfer a frame well-logging data of multi-armed caliper to screen surface and line all the points,one polygon will be formed.When we link polygons of different frames,the well inner-surface model would be showed on the screen.