多流量常规.doc

大庆石油学院学生作业纸课程名称 试井技术 2010至2011学年度 第2学期 班级 研104 姓名王建宁学号 s1002237 表1和和表2分别是均质油藏中一口井的变产量试井的压力史和流量史数据，压力史和流量史图形如图1所示。其他资料如下：pi=17.68MPa；B=1.25；=0.25；=1.6mPas；Ct=1.010-3 (MPa)-1；h=23.4m；rw=0.1m。试用变产量常规试井分析方法对每个流量段进行试井分析。图1 变产量试井的压力史和流量史表1 流量史数据流量段序号流量段时间长度h流量m3/d124379.3248034847741400表2 压力史数据序号时间(h)压力(MPa)序号时间(h)压力(MPa)0017.686972.12717.49110.01317.65487072.16917.463120.01717.64877172.22417.436630.02217.63997272.29717.414140.02817.62977372.39417.396450.03717.61747472.52217.382860.04717.60327572.69317.372670.06117.58627672.91917.363880.0817.56717773.21917.356390.10317.5467873.61717.3482100.13417.5257974.14517.3407110.17417.50328074.84617.3339120.22517.48358175.77517.3264130.29217.46658277.00717.3196140.37817.45228378.64217.3128150.4917.44138480.8117.306160.63517.43328583.68717.2992170.82317.42648687.50317.2931181.06717.41968792.56417.2863191.38317.41348899.27917.2802201.79317.40889108.18517.274212.32417.40269012017.2679223.01217.396491120.01117.2938233.90417.39192120.01317.2965245.0617.385693120.01617.3033256.55917.380194120.01817.3074268.50217.375495120.02217.31692711.0217.369996120.02817.32782814.28417.364597120.03517.34072918.51617.35998120.04517.3556302417.354399120.05617.37263124.01317.3794100120.07117.39243224.01817.3869101120.08917.41413324.02317.3964102120.11317.43663424.03117.408103120.13117.45153524.04117.4223104120.1617.47193624.05417.44105120.19517.49033724.07217.4597106120.24917.51143824.09617.4814107120.33317.53243924.12717.5046108120.39217.54264024.16917.5284109120.46617.55084124.22417.5494110120.55817.5594224.29717.5685111120.67417.56584324.39417.5828112120.81917.57194424.52217.594311312117.57734524.69317.6025114121.17517.58214624.91917.61115121.45417.58754725.21917.6161116121.73217.59234825.61717.6222117122.17917.59844926.14517.6283118122.917.60525026.84617.6338119123.41117.60935127.77517.6392120124.06117.61345229.00717.644121124.88517.61745330.64217.6487122125.93117.62225432.8117.6535123127.25917.62635535.68717.6576124128.94517.6315639.50317.661125131.08517.63515744.56417.6644126133.80217.63995851.27917.6671127137.24917.6445960.18517.6698128141.62617.648607217.6718129147.18117.65216172.01317.6412130154.23217.65556272.01817.6324131163.18317.65896372.02317.6208132174.54417.66166472.03117.6066133188.96617.66446572.04117.5896134207.27117.66716672.05417.5692135230.50617.66916772.07217.545413626017.67126872.09617.5188解：第一阶段分析：处理数据，见表3。表3 压降和时间对数表序号时间lgtpwf序号时间lgtpwf(h)(MPa)(h)(MPa)0017.68160.635-0.1972317.433210.013-1.8860617.6548170.823-0.084617.426420.017-1.7695517.6487181.0670.02816417.419630.022-1.6575817.6399191.3830.14082217.413440.028-1.5528417.6297201.7930.2535817.40850.037-1.431817.6174212.3240.36623617.402660.047-1.327917.6032223.0120.47885517.396470.061-1.2146717.5862233.9040.5915117.39180.08-1.0969117.5671245.060.70415117.385690.103-0.9871617.546256.5590.81683817.3801100.134-0.872917.525268.5020.92952117.3754110.174-0.7594517.50322711.021.04218217.3699120.225-0.6478217.48352814.2841.1548517.3645130.292-0.5346217.46652918.5161.26754717.359140.378-0.4225117.452230241.38021117.3543150.49-0.309817.4413第二步，在坐标纸上绘制pwflg t关系曲线，并用径向流动阶段的数据点（序号1530），用线性回归绘出直线段，如图2所示。其斜率为m=0.0576 MPa/cycle（MPa）图2 压降与时间关系曲线据此可以推断流动系数为：地层系数为： 地层有效渗透率为： 表皮系数为：综上所述，该井的流动系数为17.459，地层系数为27.93，地层有效渗透率为1.194，表皮系数为-2.171，由此可见该井是措施见效井。解释完毕。第二阶段分析： 根据已知条件和表1、2数据，可知tp=24h与t相差不大，故采用赫诺公式计算。（1）根据表1 计算lg（tp+t）/t）,数据见表 4。 表 4压力恢复数据处理表序号t(h)t(tp+t)/tlg（(tp+t)/t）pws(MPa)3124.0130.0131847.154 3.267 17.379 3224.0180.0181334.333 3.125 17.387 3324.0230.0231044.478 3.019 17.396 3424.0310.031775.194 2.889 17.408 3524.0410.041586.366 2.768 17.422 3624.0540.054445.444 2.649 17.440 3724.0720.072334.333 2.524 17.460 3824.0960.096251.000 2.400 17.481 3924.1270.127189.976 2.279 17.505 4024.1690.169143.012 2.155 17.528 4124.2240.224108.143 2.034 17.549 4224.2970.29781.808 1.913 17.569 4324.3940.39461.914 1.792 17.583 4424.5220.52246.977 1.672 17.594 4524.6930.69335.632 1.552 17.603 4624.9190.91927.115 1.433 17.610 4725.2191.21920.688 1.316 17.616 4825.6171.61715.842 1.200 17.622 4926.1452.14512.189 1.086 17.628 5026.8462.8469.433 0.975 17.634 5127.7753.7757.358 0.867 17.639 5229.0075.0075.793 0.763 17.644 5330.6426.6424.613 0.664 17.649 5432.818.813.724 0.571 17.654 5535.68711.6873.054 0.485 17.658 5639.50315.5032.548 0.406 17.661 5744.56420.5642.167 0.336 17.664 5851.27927.2791.880 0.274 17.667 5960.18536.1851.663 0.221 17.670 6072481.500 0.176 17.672 （2）根据表 4 画pwslg（tp+t）/t）赫诺曲线，并用径向流动阶段的数据点（最后15个点）画出直线段，如图 3 可知：由第一阶段的分析得：pwf（tp=24）=pws（t=0）=17.3543（MPa）斜率 m= -0.0496MPa/对数周期直线段与（tp+t）/t=1 的交点对应的坐标为 P=17.68MPa其中pws（t=1h）=pws（tp+t）/t=25）=17.61Mpa图 3赫诺曲线于是可计算以下系数：流动系数：地层系数： 渗透率：表皮系数：S= = -1.274因为S0 ， 所以此井为超完善井。第三阶段：（1）本阶段与第一阶段不同，必须采用变产量开井生产公式来计算参数，数据处理，见表5。表5变量生产压降数据表序号t（h）pwf（MPa）lg(t-t2)lg(t-t1)lgt6172.013-1.7461 17.6412-1.8861 1.6814 1.8574 6272.018-1.6047 17.6324-1.7447 1.6814 1.8574 6372.023-1.4983 17.6208-1.6383 1.6814 1.8575 6472.031-1.3687 17.6066-1.5086 1.6815 1.8575 6572.041-1.2473 17.5896-1.3872 1.6816 1.8576 6672.054-1.1277 17.5692-1.2676 1.6817 1.8577 6772.072-1.0028 17.5454-1.1427 1.6819 1.8578 6872.096-0.8779 17.5188-1.0177 1.6821 1.8579 6972.127-0.7565 17.491-0.8962 1.6824 1.8581 7072.169-0.6325 17.4631-0.7721 1.6828 1.8584 7172.224-0.5103 17.4366-0.6498 1.6833 1.8587 7272.297-0.3879 17.4141-0.5272 1.6839 1.8591 7372.394-0.2654 17.3964-0.4045 1.6848 1.8597 7472.522-0.1435 17.3828-0.2823 1.6859 1.8605 7572.693-0.0209 17.3726-0.1593 1.6875 1.8615 7672.9190.1012 17.3638-0.0367 1.6895 1.8628 7773.2190.2232 17.35630.0860 1.6921 1.8646 7873.6170.3450 17.34820.2087 1.6956 1.8670 7974.1450.4665 17.34070.3314 1.7002 1.8701 8074.8460.5878 17.33390.4542 1.7063 1.8742 8175.7750.7084 17.32640.5769 1.7141 1.8795 8277.0070.8286 17.31960.6996 1.7243 1.8865 8378.6420.9480 17.31280.8223 1.7375 1.8957 8480.811.0667 17.3060.9450 1.7544 1.9075 8583.6871.1844 17.29921.0677 1.7759 1.9227 8687.5031.3011 17.29311.1904 1.8028 1.9420 8792.5641.4168 17.28631.3131 1.8361 1.9664 8899.2791.5314 17.28021.4358 1.8767 1.9969 89108.1851.6451 17.2741.5585 1.9252 2.0342 901201.7583 17.26791.6812 1.9823 2.0792 （2）根据整理的数据画pwf关系曲线，并用整理的数据点（最后17个点）画出直线段，如图 4 可知： m=0.0576MPa/cycle a=17.368（MPa）图4压降与时间关系曲线由此可算出流动系数为：地层系数为： 地层有效渗透率为： 表皮系数为：由此可见该井是措施见效井。第四阶段：（1）该阶段与第二阶段不同，必须采用油井以变产量生产后关井的压力恢复公式来计算，数据整理，见表6。表6压力恢复数据表序号t（h）tpws（MPa）91120.0110.0113.7170 17.293892120.0130.0133.6445 17.296593120.0160.0163.5543 17.303394120.0180.0183.5032 17.307495120.0220.0223.4161 17.316996120.0280.0283.3114 17.327897120.0350.0353.2145 17.340798120.0450.0453.1055 17.355699120.0560.0563.0106 17.3726100120.0710.0712.9076 17.3924101120.0890.0892.8097 17.4141102120.1130.1132.7062 17.4366103120.1310.1312.6421 17.4515104120.160.162.5555 17.4719105120.1950.1952.4699 17.4903106120.2490.2492.3642 17.5114107120.3330.3332.2386 17.5324108120.3920.3922.1683 17.5426109120.4660.4662.0938 17.5508110120.5580.5582.0163 17.559111120.6740.6741.9352 17.5658112120.8190.8191.8518 17.571911312111.7665 17.5773114121.1751.1751.6979 17.5821115121.4541.4541.6077 17.5875116121.7321.7321.5339 17.5923117122.1792.1791.4378 17.5984118122.92.91.3193 17.6052119123.4113.4111.2529 17.6093120124.0614.0611.1821 17.6134121124.8854.8851.1082 17.6174122125.9315.9311.0317 17.6222123127.2597.2590.9537 1