弹性油藏中多相渗流的流-固-热耦合数学模型

The Fluid-Solid-Heat Coupled Math's Model in the Multiphase Flow Porous Media of Elastic Reservoir

基于对油藏中三大物理场 (流体力场、固体力场及温度场 )的系统分析 ,综合运用渗流力学、岩石力学、热力学理论 ,建立了一个全新的油藏渗流的流 固 热耦合模型。该模型假设岩石骨架是可变形的 ,油藏内热量按热力学定律自由传递 ,孔隙流体压力和热应力会导致岩石骨架的变形 ;反之 ,岩石骨架的变形又会导致储渗特性和孔隙流体压力的改变 ,还会导致温度场的改变。建立了安全耦合的流体渗流方程、岩石变形方程和温度场方程 ,三者之间互含耦合项 ,互不独立 ,只能联立求解。给出了模型的数值求解思路。该文所建立的模型实现了油藏中渗流、变形、变温三者间真正意义上的耦合 ,较之已有的油藏渗流模型更能反映油藏的实际 ,是对油藏传统渗流理论和流固耦合力学理论的发展 ,能广泛运用于石油工程许多领域 ,该模型同时也为编制流 固

A new fluid solid heat coupled mathematical model about the multiphase flow in porous media of elastic reservoir has been founded on the base of system analysis of the three physical field, which include fluid mechanic field,solid mechanic field and temperature field, and comprehensive utilization of flow mechanics,rock mechanics,heat mechanics theories.The model provided that rock matrix were variable, heat in reservoir could be transferred freely abiding by law of thermodynamics and process. The fluid pressure was able to make rock matrix deformation. On the other hand, rock matrix deformation could also make reservoir flowing properties and fluid pressure in porous changed. So,safely coupled fluid flow equation,rock deformation equation and temperature field equation have been founded. These equations coupled, and only can be soluted simultaneously.The direction to solute the equations have been provided in article. The model really make flow in porous media,deformation and temperature variation coupled,and can be better reflect the properties of the reservoir than those models existing before,which developed reservoir traditional flow the ories and fluid solid coupled mechanics theory and can be used in petroleum engineering.