离散的GM(1,1,t^2,t)模型及其应用

针对软土地基沉降问题,利用灰色理论提出GM(1,1,t^2,t)模型,通过优化灰导数白化值建立离散的GM(1,1,t^2,t)新模型,并用最小二乘法估计新模型的5个参数.通过软土地基沉降的实例应用,说明离散的GM(1,1,t^2,t)模型的模拟预测效果优于GM(2,1)模型.

Numerical simulation of rock pore-throat structure effects on NMR T_2 distribution

We built a three-dimensional irregular network model which can adequately describe reservoir rock pore-throat structures. We carried out numerical simulations to study the NMR T2 distribution of water-saturated rocks. The results indicate that there is a good correlation between T2 distribution and the pore radius frequency histogram. The total T2 distribution can be partitioned into pore body and pore throat parts. The effect of parameters including throat radius, pore-throat ratio, and coordination number of the micro- pore structure on the T2 distribution can be evaluated individually. The result indicates that： 1 ） with the increase of the pore throat radius, the T2 distribution moves toward longer relaxation times and its peak intensity increases; 2） with the increase of the pore-throat ratio, the T2 distribution moves towards longer T2 with the peak intensity increasing and the overlap between pore body T2 and pore throat T2 decreasing; 3） With the increase of connectivity, the short T2 component increases and peak signal intensity decreases slightly.