钻孔柱状图岩性描述布局数学规划模型

Mathematical programming model of strata lithologic description text layout in borehole diagram

钻孔柱状图图件布局是否合理、清晰,是钻孔柱状图能否顺利表达具体钻孔信息的关键。钻孔柱状图是按比例绘制,地层厚度大小不一,岩性文字描述与对应的地层岩性花纹图案难以匹配布局,所以钻孔柱状图岩性文字描述布局问题一直是进行钻孔柱状图自动绘制的难点。通过对钻孔成图过程地分析,将岩性文字描述布局问题进行数学抽象,对柱状图中岩性花纹柱总高度大于或等于岩性文字描述总高度的一类问题,建立了非线性数学规划模型,并将其转化为线性规划问题求解。通过实例应用表明,该模型可以实现自动进行地层岩性花纹对应的岩性文字描述的合理布局,该方法对于绘制钻孔柱状图或开发钻孔柱状图自动成图软件提供借鉴。

Reasonable layout of borehole diagram is the key to clear expression of specific borehole information.However,the strata lithologic description text layout problem has always been a difficulty to borehole diagram automatic drawing since it is difficult to describe the relationship between the strata lithologicdescription and corresponding patterns due to the different strata thickness.This paper mathematically described the strata lithologic description text layout problem through borehole diagram analyzing,and proposed a nonlinear mathematical programming model to resolve a class of problems where the total height of strata lithologic patterns is greater than or equal to total height ofstrata lithologic descriptions.A method to transform a nonlinear mathematical programming model into a linear programming problem is also given.The application on a real world problem indicates that the model can automatically carry out the rational Layout of strata lithologic description text.This method is significant importance on guiding the drawing of borehole histogram and the development of borehole histogram automatic mapping software.