冻土CT实验的数学方程

CT Mathematial Equation of CT Experiment on Frozen Soil

通过数学分析和实验回归推导出冻土CT实验的数学方程,建立了CT数值图像每点数据与冻土参数的准确联系,解决了CT定量分析中长期困扰人们的被测物体CT数据的吸收量偏差、射线硬化偏差、外围物体与样品边缘卷积影响等项偏差。通过对不同尺寸、密度、扫描环境的样品CT图像数据测量验证,该方程能较精确应用,为CT定量分析打下必要基础。

This paper introduces the mathematical equation of CT tests on frozen soil using physical analysis and experiment data regression. Contrasting the parameters of frozen soil and CT image number, the difference between sample CT number and standard model has been solved. These differences are section density, X-ray hardening, the convolution of lag and edge of the sample. Comparing poly-sample CT images, this equation can definitively describe the change of frozen soil, which is the base of CT quantitative analysis.