油藏工程补充习题解答

1、补充练习题1 某一线形油藏宽 91.44 m，厚 6.1m，长 304.6m。油藏水平，空隙度 0.15，渗透率 200 毫，原始含水饱和度 0.363，残余油饱和度 0.205，原油地下粘度 2.0 厘泊，地层水粘度1.0 厘泊。油藏分别在两端进行注水和采油，生产压差 3.448 MPa，计算注水开发动态。相对渗透率曲线及相关参数采用如下计算：a1=1.0;a2=0.78;m=2.56;n=3.72;解：1)先求出相关的参数：2) 计算从最大含水饱和度（1-SOR-SIW）到前沿含水饱和度（SWF）下，关于视粘度的积分，是一定值。3）将地层见分成 10 等份（距离），计算油沿到达各等份距离时

2、的视粘度，是关于无因次注入倍数的线性表4）计算初始产油量；各等份位置的无因次注入倍数。5）根据不同等份位置时的视粘度，计算各时刻的产量；6）顺序计算油沿到达各等份位置时的时间。1含水率相对渗透率含水上升率油水相对渗透率曲线10.90.80.70.60.50.40.30.20.1000.20.40.60.81含水饱和度分流量曲线180.970.860.70.650.540.430.320.20.11000.30.40.50.6Swf=0.6660.8含水饱和度见：7）将Swf1-SOr-Siw按 0.003 的间隔划分，并计算不同的出口端含水饱和度下地层的视粘度;8) 计算不同的出口端含水饱和度

3、下的产液量,产油量,产水量,含水率,累积产油量,注水量, 产水量;9)计算不同的出口端含水饱和度下所对应的开发时间时间0.035.375.6120.9171.2226.4246.4268.0291.2343.2403.7437.6474.4产油54.5547.4041.9037.5434.0131.082.852.662.482.151.851.711.58产水0.000.000.000.000.000.0028.9029.7830.6832.5134.3935.3636.33产液54.5547.4041.9037.5434.0131.0831.7532.4433.1634.6636.2437

4、.0637.90含水0.0000.0000.0000.0000.0000.0000.9100.9180.9250.9380.9490.9540.958注入采出累油0.01794.53589.15383.67178.18972.79312.69372.09431.89551.99672.79733.19793.5视粘2.0002.3022.6042.9063.2083.5103.4363.3633.2903.1483.0102.9442.8780.0000.0700.1410.2110.2820.3520.3770.4040.4340.5030.5870.6360.6900.0000.0700.

5、1410.2110.2820.3520.3650.3680.3700.3750.3800.3820.3842产量（方/天）恒压注水条件下生产动态6050403020100030060090012001500时间（天）qo qw qt不同出口端饱和度下对应的地层流体视粘度43 53视 2 5粘21 510 500 660 680 70 720 740 760 78出口端饱和度无因次注入倍数与平均视粘度的 平均视1511 522 53无因次注入倍数514.4557.8605.0656.6775.0843.1918.21001.41094.01197.31313.21443.81.451.331.2

6、21.110.920.830.750.670.600.530.470.4137.3138.3139.3140.3242.3643.3944.4245.4546.4747.5048.5149.5238.7639.6440.5341.4343.2844.2245.1646.1147.0748.0348.9849.930.9630.9660.9700.9730.9790.9810.9830.9850.9870.9890.9900.9920.7500.8170.8910.9741.1711.2881.4201.5691.7381.9312.1512.4050.3870.3890.3910.3940.3

7、980.4010.4030.4050.4080.4100.4120.4159853.99914.39974.510034.510154.110213.610272.810331.710390.410448.710506.710564.32.8152.7532.6922.6332.5212.4682.4162.3662.3182.2722.2272.1851234567891011121314151617181920212223242526272829303132333435360.36300.36600.36900.37200.37500.37800.38100.38400.38700.390

8、00.39300.39600.39900.40200.40500.40800.41100.41400.41700.42000.42300.42600.42900.43200.43500.43800.44100.44400.44700.45000.45300.45600.45900.46200.46500.46801.00000.98230.96480.94750.93040.91350.89680.88020.86390.84770.83170.81590.80030.78490.76960.75460.73970.72500.71050.69610.68190.66800.65410.640

9、50.62700.61380.60060.58770.57490.56230.54990.53760.52550.51360.50180.49020.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00010.00010.00010.00010.00020.00020.00030.00030.00040.00050.00060.00070.00080.00100.00120.00130.00150.00180.00200.00230.00260.00290.00320.00360.00400.00000.000

10、00.00000.00000.00000.00000.00000.00000.00000.00010.00010.00010.00020.00030.00030.00050.00060.00080.00100.00120.00150.00180.00220.00260.00320.00380.00440.00520.00610.00710.00820.00950.01090.01250.01430.01620.00000.00000.00010.00040.00090.00160.00270.00420.00620.00880.01200.01590.02070.02640.03310.040

11、90.05000.06050.07250.08610.10160.11910.13870.16070.18520.21240.24270.27610.31300.35360.39820.44700.50040.55860.62200.69092.00002.03602.07292.11072.14962.18942.23022.27212.31512.35922.40442.45092.49852.54752.59772.64932.70222.75662.81242.86962.92842.98883.05073.11433.17953.24643.31503.38543.45763.531

12、53.60723.68483.76423.84553.92854.01340.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.000

13、00.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.000

14、00.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.000033738394041424344454647484950515253545556575859606162636465666768697071727374757677787980818283848586870.47100.47400.47700.48000.48300.48600.48900.49200.49500.49800.50100.50400.50700.51000.51300.51600.51900.52200.52

15、500.52800.53100.53400.53700.54000.54300.54600.54900.55200.55500.55800.56100.56400.56700.57000.57300.57600.57900.58200.58500.58800.59100.59400.59700.60000.60300.60600.60900.61200.61500.61800.62100.47880.46750.45640.44550.43470.42410.41360.40330.39320.38320.37340.36370.35420.34480.33560.32650.31760.30

16、880.30020.29180.28340.27530.26720.25940.25160.24400.23660.22930.22210.21500.20810.20140.19470.18830.18190.17570.16960.16360.15780.15210.14650.14100.13570.13050.12540.12050.11560.11090.10630.10190.09750.00450.00500.00550.00600.00660.00730.00800.00870.00950.01030.01120.01210.01310.01410.01520.01640.01

17、760.01890.02030.02170.02320.02480.02650.02820.03000.03190.03390.03600.03820.04050.04280.04530.04790.05050.05330.05620.05920.06230.06550.06890.07240.07600.07970.08360.08760.09170.09600.10050.10500.10980.11460.01840.02080.02350.02640.02970.03320.03710.04140.04600.05100.05650.06240.06890.07580.08330.09

18、130.10000.10920.11910.12970.14090.15280.16540.17870.19280.20750.22290.23910.25590.27340.29150.31020.32950.34930.36950.39010.41110.43240.45380.47540.49700.51870.54020.56160.58280.60360.62420.64430.66390.68310.70160.76550.84640.93361.02771.12891.23751.35391.47821.61071.75171.90132.05962.22672.40242.58

19、682.77962.98043.18893.40443.62633.85374.08574.32104.55844.79645.03345.26775.49755.72085.93576.14016.33206.50946.67056.81356.93677.03887.11857.17507.20767.21597.20007.16017.09687.01096.90356.77616.63016.46726.28936.09834.10024.18864.27884.37074.46434.55934.65584.75374.85284.95305.05405.15585.25825.36

20、085.46345.56575.66755.76845.86815.96606.06206.15546.24606.33316.41646.49536.56946.63816.70106.75776.80766.85046.88576.91316.93236.94326.94546.93896.92376.89976.86696.82576.77606.71836.65286.58006.50016.41386.32146.22356.12060.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00

21、000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00

22、000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00

23、000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00004888990919293949596979899100101102103104105106107108109110

24、1111121131141151161171181191201211221231241251261271281291301311321331341351361450.62400.62700.63000.63300.63600.63900.64200.64500.64800.65100.65400.65700.66000.66300.66600.66900.67200.67500.67800.68100.68400.68700.69000.69300.69600.69900.70200.70500.70800.71100.71400.71700.72000.72300.72600.72900.7

25、3200.73500.73800.74100.74400.74700.75000.75300.75600.75900.76200.76500.76800.79500.09320.08910.08510.08120.07740.07370.07010.06670.06330.06010.05690.05390.05090.04810.04530.04270.04010.03770.03530.03300.03080.02880.02680.02480.02300.02130.01960.01800.01650.01510.01380.01250.01130.01020.00910.00820.0

26、0720.00640.00560.00490.00420.00360.00310.00260.00210.00170.00140.00110.00080.00000.11970.12490.13020.13580.14150.14730.15340.15960.16600.17260.17940.18640.19350.20090.20850.21630.22430.23250.24090.24950.25840.26750.27680.28640.29620.30630.31650.32710.33790.34900.36030.37190.38370.39590.40830.42100.4

27、3390.44720.46080.47460.48880.50330.51810.53320.54860.56430.58040.59680.61350.78000.71960.73700.75370.76980.78520.79990.81390.82720.83980.85180.86310.87370.88380.89320.90200.91020.91790.92510.93170.93790.94370.94900.95390.95840.96260.96640.97000.97320.97610.97880.98130.98350.98550.98730.98890.99040.9

28、9170.99290.99400.99490.99570.99640.99710.99760.99810.99850.99880.99910.99931.00005.89615.68475.46605.24185.01404.78424.55414.32494.09813.87473.65583.44233.23483.03402.84032.65412.47572.30522.14271.98831.84181.70321.57231.44901.33301.22401.12201.02640.93720.85400.77650.70440.63750.57540.51800.46490.4

29、1590.37070.32920.29110.25620.22420.19510.16860.14460.12280.10320.08570.07000.00006.01345.90225.78775.67045.55085.42945.30675.18325.05924.93524.81154.68854.56654.44574.32644.20884.09313.97953.86803.75883.65203.54763.44583.34653.24983.15573.06422.97522.88882.80502.72362.64472.56822.49412.42232.35272.2

30、8542.22022.15712.09612.03701.97991.92461.87111.81941.76941.72101.67411.62881.28210.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.84950.79460.74060.68820.63750.58900.54280.49900.45760.41890.38260.34880.31750.28840.26160.23700.21430.19350.17440.15710.14120.12680.1

31、1360.10170.09090.08110.07220.06410.05690.05030.04440.03900.03420.02980.02590.00220.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00009.96969.12008.32557.58486.89666.25915.67015.12734.62844.17073.75193.36933.02042.70302.41452.15291.91591.70171.50821.33371.17671.03550.9

32、0870.79510.69340.60250.52140.44930.38510.32830.27800.23360.19460.16040.13060.00220.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00003.51003.43623.36293.29033.21863.14803.07863.01042.94372.87842.81472.75262.69212.63332.57632.52102.46752.41582.36602.31792.27182.22752.1

33、8512.14472.10622.06992.03562.00361.97401.94701.92291.90211.88511.87261.86591.85435流量 238.5m3/d生产了 100 小时，进行2某油藏的第一口探井，以的数据及部分参数如下。降落试井，-3rw=0.1m; Ct=2.13×10 1/Mpa=0.18;=1.0mPa·s;h=6.1m;Bo=1.2;6井底拟稳态分析曲线y = -0.04x + 20.343161520406080100120时间降落试井分析曲线20.620.520.420.320.220.12019.919.8110时间时间

34、(h)井底流压(Mpa)时间(h)井底流压(Mpa)024.612019.42120.513019.00220.384018.63320.305018.26420.246017.89520.177017.547.520.028017.1810.019.99016.8215.019.6410016.463 已知油藏的层数如下：q79.5m3/d，t 300h，地层有效厚度h18.9m，0.97 mPa·S，p31B=1.1032，Ct1.813×10 MP ，0.287，rw0.1067m，测试数据如下：7d(tp+dt)/dtdtPwf29971.0290.0100113.

35、63157925663.9590.0116913.64326622043.6150.0136113.65655218868.9240.0159113.67230716225.9860.0184913.68997113883.4620.0216113.71042111901.0390.0252113.73429810208.5540.0293913.7624078770.3650.0342113.7924757521.6820.0398913.8283556438.7690.0466013.8678835526.8790.0542913.9134714733.6070.0633913.96684

36、44059.9910.0739114.0248493480.8750.0862114.0943062983.4040.1005914.1637572560.9450.1171914.2451022193.8220.1368114.3333001882.1140.1594814.4330031613.0360.1861014.5405961383.4250.2170114.6571661186.2550.2531114.7841051017.260.2952014.921214872.3330.3443015.062087747.9930.4016115.211696641.4650.46841

37、15.365229550.2490.5462015.522236471.8980.6370815.680325404.7140.7431015.835602347.1410.8667015.985019297.7951.1010816.134399255.4551.1789916.270267219.1681.3750916.399786188.0571.6037916.512894161.3751.8706116.615295138.5072.1817016.705471118.8972.5445916.780540102.0852.9678016.84248987.6683.4614916

38、.89994475.3074.0372916.946877864.7114.7088016.98988555.6255.4920017.02962747.8356.4054917.06866541.1557.4710117.10966935.4298.7137117.15453330.51910.1629917.19893526.30911.8534917.25111422.70013.8251017.30596219.60516.1246917.36858616.95218.8067917.43540214.67721.935017.50657112.72625.583517.5836941

39、1.05429.838917.6656329.62034.802117.7479698.39140.590017.8344027.33747.342517.9213616.43355.217018.0090415.65864.401018.0965064.99475.114018.1822624.42487.607018.2664813.936102.17918.3478213.517119.175618.4263943.158138.998618.5017322.849162.2185918.5735112.587189.0842918.6415082.360220.5352218.7055

40、552.166257.2175318.7655242.000300.0000018.8213634 某封闭弹性驱油藏，地质储量为 526×104t，原始地层17.5Mpa.，求弹性产率和弹性采收率。为 38.5 Mpa，饱和为9时间累积产量(104t)总压降(Mpa)1971 121.51.041972 22.11.381972 42.51.671972 63.21.911972 83.42.111972 103.62.34回归得到弹性产率为K1=1.7319×10 t/MPa。4最大弹性产油量为K1×(Pi-Pb)=36.37×10 t。弹性采收率为

41、36.37/526*100 = 6.91%。5 某新油田一口新井，恒定产量 62.8m3/d投产，井底压降资料如表，求地层染系数。其它参数如下：系数及污-5=0.20；rw=0.1m;Ct=1.47×10o=3.93CP;Bo=1.243;he=39.5m;1/MPa10累计产量时间(h)井底(Mpa)时间(h)井底(Mpa)时间(h)井底(Mpa)08.1256.60126.5416.7766.58156.5226.6876.57236.5036.6586.56326.4946.6296.55506.481972 124.12.581973 24.72.821973 45.13.1

42、31973 65.63.531973 78.24.741973 812.06.881973 915.58.821973 1018.310.3对直线段进行回归，确定直线段的斜率： 直线段斜率为：0.206 MPa/时间周期求地层的流动系数：Kh/=(2.121×10-3×62.8×1.243)/(0.206)=0.804求地层的渗透率：K= (0.804)×3.93/(39.5) = 0.08 darcy求井底污染系数：S=1.151×1.35/0.206-lg(0.08/(0.2×3.93×1.47×10-5

43、15;0.01)-0.9077=-0.224S 小于 0，说明实际的井底半径要大于 10 cm，经过一定的增产处理。6某气井生产数据如下表，确定产量变化形式。11井（底兆帕）年月T(a)Q/天Q0/Qn(Q0/Q)(t+C)N=2N=0.5N=0.25C=2C=5C=879.1028.47111125879.70.523.911.191.4161.0911.0442.55.58.580.11.020.271.401.9601.1831.0883.06.09.080.71.517.531.622.6241.2731.1283.56.59.581.12.015.261.863.4601.3641.1684.07.010.081