计算物理
計算物理
계산물리
Chinese Journal of Computational Physics
2015年
5期
595-602
,共8页
方思冬%程林松%辛一男%何聪鸽
方思鼕%程林鬆%辛一男%何聰鴿
방사동%정림송%신일남%하총합
各向异性油藏%压裂水平井%试井%点源函数%多角度裂缝
各嚮異性油藏%壓裂水平井%試井%點源函數%多角度裂縫
각향이성유장%압렬수평정%시정%점원함수%다각도렬봉
anisotropic reservoir%fractured horizontal well%well test%source function%multi-angle fractures
考虑各向异性油藏渗透率张量的表征,利用Green函数和拉普拉斯变换建立裂缝流动的一维单元,裂缝的流量分布采用节点线性插值,裂缝内的流动处理为线性积分,耦合地层与人工裂缝的流动,建立有限导流裂缝井底压力的求解方法。结果表明:多裂缝压裂水平井存在压裂裂缝线性流、地层线性流、系统径向流3种流动形态,压裂裂缝条数越多,相同的生产时间,无因次井底压降越小;裂缝条数对流动影响明显。随着裂缝条数的增加,压降变化减小;裂缝长度和导流能力有相似的变化。人工裂缝与井筒角度越大,产能越大,当裂缝垂直于井筒时,产量最大;地层最大渗透率方向垂直于人工裂缝时产量最大,平行裂缝时产量最小。当人工裂缝垂直于井筒,并同时垂直于地层最大渗透率方向时,达到最大产量值。
攷慮各嚮異性油藏滲透率張量的錶徵,利用Green函數和拉普拉斯變換建立裂縫流動的一維單元,裂縫的流量分佈採用節點線性插值,裂縫內的流動處理為線性積分,耦閤地層與人工裂縫的流動,建立有限導流裂縫井底壓力的求解方法。結果錶明:多裂縫壓裂水平井存在壓裂裂縫線性流、地層線性流、繫統徑嚮流3種流動形態,壓裂裂縫條數越多,相同的生產時間,無因次井底壓降越小;裂縫條數對流動影響明顯。隨著裂縫條數的增加,壓降變化減小;裂縫長度和導流能力有相似的變化。人工裂縫與井筒角度越大,產能越大,噹裂縫垂直于井筒時,產量最大;地層最大滲透率方嚮垂直于人工裂縫時產量最大,平行裂縫時產量最小。噹人工裂縫垂直于井筒,併同時垂直于地層最大滲透率方嚮時,達到最大產量值。
고필각향이성유장삼투솔장량적표정,이용Green함수화랍보랍사변환건립렬봉류동적일유단원,렬봉적류량분포채용절점선성삽치,렬봉내적류동처리위선성적분,우합지층여인공렬봉적류동,건립유한도류렬봉정저압력적구해방법。결과표명:다렬봉압렬수평정존재압렬렬봉선성류、지층선성류、계통경향류3충류동형태,압렬렬봉조수월다,상동적생산시간,무인차정저압강월소;렬봉조수대류동영향명현。수착렬봉조수적증가,압강변화감소;렬봉장도화도류능력유상사적변화。인공렬봉여정통각도월대,산능월대,당렬봉수직우정통시,산량최대;지층최대삼투솔방향수직우인공렬봉시산량최대,평행렬봉시산량최소。당인공렬봉수직우정통,병동시수직우지층최대삼투솔방향시,체도최대산량치。
With Green function and Laplace transformation, one?dimensional element is established considering effect of permeability tensor of anisotropic reservoir. Inflow of fracture is obtained by linear interpolation of endpoints and flow in fracture is treated with linear integral of flow rate. Coupling flow in formation and fractures, calculating method for bottom?hole pressure is formed semi?analytically. It shows that there are three flow regimes including fracturing linear flow, formation linear flow and system radial flow. The more the fractures, the less the dimensionless pressure and number of factures has significant impact on flow rate. With increase of fractures increasing rate is dropping in the same time. Fracture length and conductivity have similar characteristics. Flow rate is improving as angle between fracture and wellbore is increasing. Flow rate reaches maximum as fracture is perpendicular to wellbore, and vice versa. Angle between maximum permeability and fracture has similar impact on production. In summary, production rate reach maximum as fracture is perpendicular to wellbore and direction of maximum permeability.