摘要
简要介绍了模拟退火算法,给出了用于建立数字岩心的三个重要参考函数:孔隙度、两点概率函数和线性路径函数.详细阐述了基于模拟退火算法建立数字岩心的理论方法,介绍了算法中重要参数的设置方法,包括初始温度、降温条件、降温方案及运行终止条件.通过实例运算验证了上述理论的适用性,研究表明:模拟退火算法可以有效降低系统能量,在局部范围内能明显体现孔隙空间特征;由于受到输入建模资料所含信息量的限制,所生成的数字岩心孔隙分布较凌乱,整体连通性差,因而期待新的建模参考函数的开发.
Simulated annealing algorithm （SAA） is briefly introduced. Three important reference functions including porosity, two-point probability function and linear path function for constructing digital core are listed. Detailed descriptions are presented for both the theory of constructing digital core based on SAA and the method of setting those important parameters in SAA including initial temperature, temperature＇s descent condition and it＇s procedure and termination conditions. Validity of this theory is confirmed through an example, the result shows that SAA can effectively reduce the system energy, and the pore space in the final output digital core gains good characteristics in local area, however, its distribution and connectivity are poor because of the limitation of input data. New good reference functions are thus expected.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
2007年第2期127-133,共7页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金(90610015)
关键词
模拟退火
数字岩心
孔隙空间
两点概率函数
线性路径函数
simulated annealing
digital core
pore space
two-point probability function
linear path function
