有限元法求解油藏渗流问题的精度影响因素

Discussion on Affecting Factors of Accuracy of Flow Through Porous Media in Reservoir Solved With Finite Element Method

吕秀凤1 张瞳阳

( 1. 大庆职业学院石油工程系, 黑龙江大庆163255; 2. 大庆油田有限责任公司第三采油厂, 黑龙江大庆163256 )

 Department of Petro leum Engineering,
Daqing Vocational College, D aqing 163255, China

In this paper, the finite elem en t equations are
established under the condition o f unsteady flow in the
uniform form ation. Sec tion the reg ion w ith tr iangle g rid. T reat
the w ell face as in ternal bounda ry. Descr ibe the pressure
va riation o f node in gr id w ith linea r function. Obtain the
pressure distr ibution by solve the fin ite e lement equation.
D iscuss the a ffection on accuracy of the so lution because of
the gr id num, the proportion o f the tr iang le sides􀀁 length, the
tim e step and the d ifferenc ing schem e w ith the illustra tion of
rad ia l unsteady flow m ode l tha t has an constan t- flow interna l
boundary and a closed ex ternal boundary. It has show n that
fin ite elem entm ethods is ava ilab le and conven ient to so lve the
prob lem of unsteady flow in porous m ed ia.