CAJ | 학술논문

为了研究黏弹性流体在多孔介质中的渗流规律，将分形理论应用于黏弹性流体的渗流模拟中，通过推导黏弹性流体有效黏度关系式，得到了多孔介质的分形孔隙度和分形渗透率表达式，进一步建立了黏弹性流体分形多孔介质渗流数学模型。使用有限差分方法对黏弹性流体分形多孔介质渗流数学模型进行了数值求解，并利用拉格朗日插值法求得了稳定流状态不同压力下的流量。通过对大庆油田采油四厂5口复合驱井进行实例计算的结果表明，黏弹性流体分形多孔介质渗流数学模型计算所得产液量与实测产液量之间的平均相对误差较小，该模型具有一定的实用价值。
위료연구점탄성류체재다공개질중적삼류규률，장분형이론응용우점탄성류체적삼류모의중，통과추도점탄성류체유효점도관계식，득도료다공개질적분형공극도화분형삼투솔표체식，진일보건립료점탄성류체분형다공개질삼류수학모형。사용유한차분방법대점탄성류체분형다공개질삼류수학모형진행료수치구해，병이용랍격랑일삽치법구득료은정류상태불동압력하적류량。통과대대경유전채유사엄5구복합구정진행실례계산적결과표명，점탄성류체분형다공개질삼류수학모형계산소득산액량여실측산액량지간적평균상대오차교소，해모형구유일정적실용개치。
To investigate the flow pattern of viscoelastic fluids in porous media,this study applies the fractal theory to simulation ofthe porous flow of viscoelastic fluids.The relational expression of effective viscosity of viscoelastic fluids is derived to obtain themathematical expressions of fractal porosity and fractal permeability of porous media and further establish the mathematic model ofviscoelastic fluids flow through fractal porous media.The numerical solution of the proposed mathematical model is obtained usingthe finite difference method,and the rate of flow in a stable state under different pressures is calculated using the Lagrange interpola-tion method.The proposed model is validated by an example study in five wells of No.4 Oil Production Plant in Daqing oilfield.There are relatively small average relative errors between the calculated and measured data of fluid production,suggesting that themathematical model has practical value for simulating the flow of viscoelastic fluids flow through fractal porous media.