CAJ | 학술논문

水平井开发特殊类型油气藏有其独到优势，针对双重孔隙介质水平井复杂渗流，以 Warren -Root 双重介质模型为基础，建立了水平井三维不稳定渗流模型，采用 Laplace 变换、有限 Fourier 余弦变换及叠加积分等方法对模型进行求解，获得定产条件下无量纲井底压力解，再利用 Duhamel 褶积原理将定产条件压力解变换为井底定压条件下的产量解；通过重新定义无量纲量建立 McCray 型产量积分平均递减方程，结合 Stehfest 数值反演，获得无量纲产量积分平均递减曲线及其导数曲线图版。计算结果表明，产量积分平均导数曲线上出现双重介质特有的“凹子”，应用该类图版拟合生产数据可方便进行产量预测及储层动态参数求取。
수평정개발특수류형유기장유기독도우세，침대쌍중공극개질수평정복잡삼류，이 Warren -Root 쌍중개질모형위기출，건립료수평정삼유불은정삼류모형，채용 Laplace 변환、유한 Fourier 여현변환급첩가적분등방법대모형진행구해，획득정산조건하무량강정저압력해，재이용 Duhamel 습적원리장정산조건압력해변환위정저정압조건하적산량해；통과중신정의무량강량건립 McCray 형산량적분평균체감방정，결합 Stehfest 수치반연，획득무량강산량적분평균체감곡선급기도수곡선도판。계산결과표명，산량적분평균도수곡선상출현쌍중개질특유적“요자”，응용해류도판의합생산수거가방편진행산량예측급저층동태삼수구취。
Horizontal wells have advantages for the development of particular reservoirs.In order to solve the complicated seepage flow problem of horizontal wells in dual porosity media,based on Warren-Root model,the 3D transient model was established in this paper.The solutions of dimensionless bottomhole pressure at constant rate condition were obtained by modern mathematical methods including the Laplace transformation,finite Fou-rier cosine transform,and superposition integral.The solutions of rate at constant bottomhole pressure were solved by Duhamel convolution principle.McCray integral average production decline equation was built based on redefined dimensionless groups.Dimensionless production integral average decline and its derivative at con-stant pressure condition were programmed and plotted by Stehfest numerical inversion.The results show that type curves of production integral average decline derivative exhibit characteristics of dual porosity media. Applications of type curves matching production data can predict rate and calculate reservoir parameters.