2022年钻杆性能参数[归类 .pdf

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1、DDDC FIELD HANDBOOK 1 DRILL PIPE&TOOL JOINT DIM ENSIONAL DATAAND PERFORM ANCE PROPERTI ESDP diameterPipeWeight(lbs/ft)D.P.GradeDrill pipestrengthDrill pipeupsetTool joint connectionTool joint strengthRectorque(ft-lbs)ApproxWeight(lbs/ft)O.D.(in)I.D.(in)Tensile(lbs)Torsion(ft-lbs)Collapse(psi)Burst(p

2、si)TypeO.D.(in)TypeO.D.(in)I.D.(in)DriftI.D.(in)Tensile(lbs)Torsion(ft-lbs)2-3/81.9954.85E97,817 4,763 11,04010,500EU 2-9/16 NC26(IF)3-3/8 1-3/4 1.625 313,681 6,478 3,239 5.16 EU 2-9/16 OH 3-1/8 2 1.807 206,416 4,525 2,263 4.89 EU 2-9/16 SLH90 3-1/4 2 1.850 202,670 5,127 2,564 4.97 EU 2-9/16 WO 3-3/

3、8 2 1.807 205,369 4,533 2,267 5.06 1.8156.65E138,214 6,250 15,60015,470 EU 2-9/16 NC26(IF)3-3/8 1-3/4 1.625 313,681 6,478 3,239 6.92 EU 2-9/16 OH 3-1/4 1-3/4 1.625 294,774 6,298 3,149 6.83 IU 2-1/2 PAC 2-7/8 1-3/8 1.250 238,634 4,690 2,345 6.71 EU 2-9/16 SLH90 3-1/4 2 1.670 202,670 5,127 2,564 6.73

4、X-95 175,072 7,917 19,760 19,600 EU 2-9/16 NC26(IF)3-3/8 1-3/4 1.625 313,681 6,478 3,239 7.01 EU 2-9/16 SLH90 3-1/4 1-13/16 1.670 270,043 6,884 3,442 6.89 G-105 193,500 8,751 21,840 21,660 EU 2-9/16 NC26(IF)3-3/8 1-3/4 1.625 313,681 6,478 3,239 7.01 EU 2-9/16 SLH90 3-1/4 1-13/16 1.670 270,043 6,884

5、3,442 6.89 2-7/82.4416.85E135,902 8,083 10.4709,910 EU 3-3/16 NC31(IF)4-1/8 2-1/8 2.000 447,130 11,869 5,935 7.36 EU 3-3/16 OH 3-3/4 2-7/16 2.253 223,937 5,589 2,795 6.85 EU 3-3/16 SLH90 3-7/8 2-7/16 2.296 260,783 7,630 3,815 6.96 EU 3-3/16 WO 4-1/8 2-7/16 2.253 289,264 7,511 3,756 7.19 2.15110.40E2

6、14,344 11,554 16,51016,530 EU 3-3/16 NC31(IF)4-1/8 2-1/8 1.963 447,130 11,869 5,935 10.76 EU 3-3/16 OH 3-7/8 2-5/32 1.963 345,705 8,818 4,409 10.51 IU 3 PAC 3-1/8 1-1/2 1.375 273,164 5,735 2,868 10.15 EU 3-3/16 SLH90 3-7/8 2-5/32 2.006 382,551 11,294 5,647 10.51 IU 3 XH 4-1/8 1-7/8 1.750 516,757 13,

7、595 6,798 10.99 IU 3 NC26(SH)3-3/8 1-3/4 1.625 313,681 6,478 3,239 10.28 X-95 271,503 14,635 20,910 20,930 EU 3-3/16 NC31(IF)4-1/8 2 1.875 495,726 13,195 6,598 10.96 EU 3-3/16 SLH90 4 2 1.875 443,756 13,226 6,613 10.84 G-105 300,082 16,176 23,110 23,140 IU 3-3/16 NC31(IF)4-1/8 2 1.875 495,726 13,195

8、 6,598 10.96 EU 3-3/16 SLH90 4 2 1.875 443,756 13,226 6,613 10.84 S-135 385,820 20,798 29,720 29,750 EU 3-3/16 NC31(IF)4-3/8 1-5/8 1.500 623,844 16,944 8,472 11.38 EU 3-3/16 SLH90 4-1/8 1-5/8 1.500 571,874 17,226 8,613 11.12 3-1/22.9929.50E194,264 14,146 10,0009,520 EU 3-7/8 NC38(IF)4-3/4 2-11/16 2.

9、563 587,308 18,107 9,054 10.44 EU 3-7/8 OH 4-1/2 3 2.804 392.295 11,867 5,934 9.89 EU 3-7/8 SHL90 4-5/8 3 2.847 366,445 12,646 6,323 10.05 EU 3-7/8 WO 4-3/4 3 2.804 434,198 13,333 6,667 10.20 2.76413.30E271,569 18,551 14,11013,800 EU 3-7/8 H90 5-1/4 2-3/4 2.619 663,663 23,847 11,924 14.41 EU 3-7/8 N

10、C38(IF)4-3/4 2-11/16 2.457 587,308 18,107 9,054 13.77 EU 3-7/8 OH 4-3/4 2-11/16 2.414 559,806 17,305 8,653 13.77 IU 3-5/8 NC31(SH)4-1/8 2-1/8 2.000 447,130 11,869 5,935 13.40 EU 3-7/8 XH 4-3/4 2-7/16 2.313 584,542 17,493 8,747 13.94 X-95 343,988 23,498 17,880 17,480 EU 3-7/8 H90 5-1/4 2-3/4 2.619 66

11、3,633 23,847 11,924 14.63 EU 3-7/8 NC38(IF)5 2-9/16 2.438 649,158 20,326 10,163 14.41 EU 3-7/8 SLH90 4-3/4 2-9/16 2.438 595,806 20,879 10,440 14.07 名师资料总结-精品资料欢迎下载-名师精心整理-第 1 页，共 5 页 -DDDC FIELD HANDBOOK 2 DRILL PIPE&TOOL JOI NTDIM ENSIONAL DATA AND PERFORM ANCE PROPERTIESDPDiameterPipeWeight(lbs/ft

12、)D.P.GradeDrill pipestrengthDrill pipeupsetTool joint connectionTool joint strengthRectorque(ft-lbs)ApproxWeight(lbs/ft)O.D.(in)I.D.(in)Tensile(lbs)Torsion(ft-lbs)Collapse(psi)Burst(psi)TypeO.D.(in)TypeO.D.(in)I.D.(in)DriftI.D.(in)Tensile(lbs)Torsion(ft-lbs)3-1/22.76413.30G-105 380,197 25,972 19,760

13、 19,320 EU 3-7/8 NC38(IF)5 2-7/16 2.313 708,063 22,213 11,107 14.49 EU 3-7/8 SLH90 4-3/4 2-9/16 2.438 595,806 20,879 10,440 14.07 S-135 488,825 33,392 25,400 24,840 EU 3-7/8 NC38(IF)5 2-1/8 2.000 842,440 26,022 13,011 14.69 EU 3-7/8 SLH90 5 2-1/8 2.000 789,087 28,078 14,039 14.69 EU 3-7/8 NC40(4FH)5

14、-3/8 2-7/16 2.313 897,161 29,930 14,965 15.04 2.60215.50E 322,775 21,086 16,770 16,840 EU 3-7/8 NC38(IF)5 2-9/16 2.414 649,158 20,326 10,163 16.39 X-95 408,848 26,708 21,250 21,330 EU NC38(IF)5 2-7/16 2.313 708,063 22,213 11,107 16.69 G-105 451,885 29,520 23,480 23,570 EU NC38(IF)5 2-1/8 2.000 842,4

15、40 26,022 13,011 16.88 EU NC40(4FH)5-1/4 2-9/16 2.438 838,257 27,760 13,880 16.96 S-135 580,995 37,954 30,190 30,310 EU NC40(4FH)5-1/2 2-1/4 2.125 979,996 32,943 16,472 17.56 43.47611.85E230,755 19,474 8,380 8,600 IU 4-3/16 H90 5-1/2 2-13/16 2.688 914,246 35,441 17,721 13.07 EU 4-1/2 NC46(IF)6 3-1/4

16、 3.125 901,164 33,625 16,813 13.51 EU 4-1/2 OH 5-1/4 3-15/32 3.287 621,623 21,967 10,984 12.10 EU 4-1/2 WO 5-3/4 3-7/16 3.313 800,590 29,469 14,735 12.91 3.34014.00E285,359 23,288 11,35010,830 IU 4-3/16 NC40(FH)5-1/4 2-13/16 2.688 711,611 23,487 11,744 15.06 IU 4-3/16 H90 5-1/2 2-13/16 2.688 914,246

17、 35,441 17,721 15.41 EU 4-1/2 NC46(IF)6 3-1/4 3.125 901,164 33,625 16,813 15.85 EU 4-1/2 OH 5-1/2 3-1/4 3.125 760,142 27,279 13,640 15.03 IU 4-3/16 SH 4-5/8 2-9/16 2.438 525,637 15,581 7,791 14.37 X-95361,454 29,498 14,380 13,720 IU 4-3/16 NC40(4FH)5-1/4 2-11/16 2.563 776,406 25,673 12,837 15.30 IU

18、4-3/16 H90 5-1/2 2-13/16 2.688 914,246 35,441 17,721 15.55 EU 4-1/2 NC46(IF)6 3-1/4 3.125 901,164 33,625 16,813 16.14 G-105399,502 32,603 15,900 15,160 IU 4-3/16 NC40(FH)5-1/2 2-7/16 2.313 897,161 30,114 15,057 15.90 IU 4-3/16 H90 5-1/2 2-13/16 2.688 914,246 35,441 17,721 15.55 EU 4-1/2 NC46(IF)6 3-

19、1/4 3.125 901,164 33,625 16,813 16.14 S-135513,646 41,918 20,140 19,490 IU 4-3/16 NC40(FH)5-1/2 2 1.875 1,080,135 36,363 18,182 16.18 IU 4-3/16 H90 5-1/2 2-13/16 2.688 914,246 35,441 17,721 15.55 EU 4-1/2 NC46(IF)6 3 2.875 1,048,426 39,229 19,615 16.38 3.24015.70E324,118 25,810 12,90012,470 IU 4-3/1

20、6 NC40(FH)5-1/4 2-11/16 2.563 776,406 25,673 12,837 16.81 IU 4-3/16 H90 5-1/2 2-13/16 2.688 914,246 35,441 17,721 17.07 EU 4-1/2 NC46(IF)6 3-1/4 3.095 901,164 33,625 16,813 17.51 X-95410,550 32,692 16,340 15,790 IU 4-3/16 NC40(FH)5-1/2 2-7/16 2.313 897,161 30,114 15,057 17.55 IU 4-3/16 H90 5-1/2 2-1

21、3/16 2.688 914,246 35,441 17,721 17.17 EU 4-1/2 NC46(IF)6 3-1/4 3.125 901,164 33,625 16,813 17.75 G-105453,765 36,134 18,050 17,460 IU 4-3/16 NC40(FH)5-1/2 2-7/16 2.313 897,161 30,114 15,057 17.55 IU 4-3/16 H90 5-1/2 2-13/16 2.688 914,246 35,441 17,721 17.17 EU 4-1/2 NC46(IF)6 3-1/4 3.125 901,164 33

22、,625 16,813 17.75 S-135583,413 46,458 23,210 22,440 EU 4-1/2 NC46(IF)6 3 2.875 1,048,426 39,229 19,615 18.03 名师资料总结-精品资料欢迎下载-名师精心整理-第 2 页，共 5 页 -DDDC FIELD HANDBOOK 3 DRILL PIPE&TOOL JOINTDIM ENSIONAL DATA AND PERFORM ANCE PROPERTIESDPDiameterPipeWeight(lbs/ft)D.P.GradeDrill pipestrengthDrill pipeup

23、setTool joint connectionTool joint strengthRectorque(ft-lbs)ApproxWeight(lbs/ft)O.D.(in)I.D.(in)Tensile(lbs)Torsion(ft-lbs)Collapse(psi)Burst(psi)TypeO.D.(in)TypeO.D.(in)I.D.(in)DriftI.D.(in)Tensile(lbs)Torsion(ft-lbs)4-1/23.95813.75E270,034 25,907 7,2007,900 IU 4-11/16 H90 6 3-1/4 3.125 938,984 39,

24、021 19.511 15.21 EU 5 NC50(IF)6-3/8 3-3/4 3.625 939,095 37,676 18,838 14.93 EU 5 OH 5-3/4 3-31/32 3.770 555,131 20,965 10,483 14.06 EU 5 WO 6-1/8 3-7/8 3.750 868,775 34,440 17,220 14.79 3.82616.60E330,558 30,807 10,3909,830 IEU 4-11/16 FH 6 3 2.875 976,156 34,780 17,390 18.14 IEU 4-11/16 H90 6 3-1/4

25、 3.125 938,984 39,021 19,511 17.81 EU 5 NC50(IF)6-3/8 3-3/4 3.625 939,095 37,676 18,838 17.98 EU 5 OH 5-7/8 3-3/4 3.625 714,267 27,272 13,636 17.10 IEU 4-11/16 NC38(SH)5 2-11/16 2.563 587,308 18,346 9,173 16.79 IEU 4-11/16 NC46(IF)6-1/4 3-1/4 3.125 901,164 33,993 16,997 18.37 X-95418,707 39,022 12,7

26、70 12,450 IEU 4-11/16 FH 6 3 2.875 976,156 34,780 17,390 18.62 IEU 4-11/16 H90 6 3-1/4 3.125 938,984 39,021 19,511 18.39 EU 5 NC50(IF)6-3/8 3-3/4 3.625 939,095 37,676 18,838 18.34 IEU 4-11/16 NC46(XH)6-1/4 3 2.875 1,048,426 39,659 19,830 18.88 G-105462,781 43,130 13,820 13,760 IEU 4-11/16 FH 6 3 2.6

27、26 976,156 34,780 17,390 18.62 IEU 4-11/16 H90 6 3 3.125 938,984 39,021 19,511 18.39 EU 5 NC50(IF)6-3/8 3-3/4 3.625 939,095 37,676 18,838 18.34 IEU 4-11-16 NC46(XH)6-1/4 3 2.875 1,048,426 39,659 19,830 18.88 S-135595,004 55,453 16,800 17,690 IEU 4-11/16 FH 6-1/4 2-1/2 2.375 1,235,337 44,769 22,385 1

28、9.28 IEU 4-11/16 H90 6 3 2.875 938,984 39,021 19,511 18.42 EU 5 NC50(IF)6-3/8 3-1/2 3.375 1,109,920 44,673 22,337 18.61 IEU 4-11/16 NC46(XH)6-1/4 2-3/4 2.625 1,183,908 44,871 22,436 19.09 3.64020.00E412,358 36,901 12,96012,540 IEU 4-11/16 FH 6 3 2.875 976,156 34,780 17,390 21.63 IEU 4-11/16 H90 6 3

29、2.875 1,086,246 45,258 22,629 21.63 EU 5 NC50(IF)6-3/8 3-5/8 3.452 1,025,980 41,235 20,618 21.62 IEU 4-11/16 NC46(XH)6-1/4 3 2.875 1,048,426 39,659 19,830 22.09 X-95522,320 46,741 16,420 15,890 IEU 4-11/16 FH 6 2-1/2 2.375 1,235,337 43,274 21,624 22.29 IEU 4-11/16 H90 6 3-1/4 3.125 938,984 39,021 19

30、,511 21.79 EU 5 NC50(IF)6-3/8 3-1/2 3.375 1,109,920 44,673 22,337 22.13 IEU 4-11/16 NC46(XH)6-1/4 2-3/4 2.625 1,183,908 44,871 22,436 22.56 G-105577,301 51,661 18,150 17,560 IEU 4-11/16 FH 6 2-1/2 2.375 1,235,337 43,247 21,624 22.29 IEU 4-11/16 H90 6 3 2.875 1,086,246 45,258 22,629 21.90 EU 5 NC50(I

31、F)6-3/8 3-1/2 3.375 1,109,920 44,673 22,337 22.13 IEU 4-11/16 NC46(XH)6-1/4 2-1/2 2.375 1,307,608 49,630 24,815 22.75 S-135742,244 66,421 23,330 22,580 EU 5 NC50(IF)6-5/8 3 2.875 1,146,225 55,708 27,854 23.22 IEU 4-11/16 NC46(XH)6-1/4 2-1/4 2.125 1,419,527 53,936 26,968 22.93 名师资料总结-精品资料欢迎下载-名师精心整理-

32、第 3 页，共 5 页 -DDDC FIELD HANDBOOK 4 DRILL PIPE&TOOL JOINTDIM ENSIONAL DATA AND PERFORM ANCE PROPERTIESDPDiameterPipeWeight(lbs/ft)D.P.GradeDrill pipestrengthDrill pipeupsetTool joint connectionTool joint strengthRectorque(ft-lbs)ApproxWeight(lbs/ft)O.D.(in)I.D.(in)Tensile(lbs)Torsion(ft-lbs)Collapse(

33、psi)Burst(psi)TypeO.D.(in)TypeO.D.(in)I.D.(in)DriftI.D.(in)Tensile(lbs)Torsion(ft-lbs)4-1/23.50022.82E 471,239 40,912 14,820 14,580 EU 5NC50(IF)6-3/8 3-5/8 3.452 1,025,980 41,235 20,618 24.07 IEU 4-11/16 NC46(XH)6-1/4 3 2.875 1,048,426 39,659 19,830 24.59 X-95 596,903 51,821 18,770 18,470 IEU 4-11/1

34、6 FH 6-1/4 2-1/4 2.125 1,347,256 48,912 24,456 25.43 EU 5 NC50(IF)6-3/8 3-1/2 3.375 1,109,920 44,673 22,337 24.58 IEU 4-11/16 NC46(XH)6-1/4 2-3/4 2.625 1,183,908 44,871 22,436 25.06 G-105 659,735 57,276 18,900 18,380 EU 5 NC50(IF)6-1/2 3-1/4 3.125 1,268,963 51,447 25,724 25.13 IEU 4-11/16 NC46(XH)6-

35、1/4 2-1/2 2.375 1,307,608,49,630 24,815 25.25 S-135 848,230 73,641 24,300 23,630 EU 5 NC50(IF)6-5/8 2-3/4 2.625 1,551,706 62,387 31,194 25.83 54.27619.50E 395,595 41,167 10,000 9,960 IEU 5-1/8 5-1/2FH 7 3-3/4 3.625 1,448,407 61,352 30,676 22.26 IEU 5-1/8 NC50(XH)6-3/8 3-3/4 3.625 939,095 37,676 18,8

36、38 20.89 X-95 501,087 52,144 12,030 12,040 IEU 5-1/8 5-1/2FH 7 3-3/4 3.625 1,448,407 61,352 30,676 22.46 IEU 5-1/8 H90 6-1/2 3-1/4 3.125 1,176,429 51,870 25,935 22.08 IEU 5-1/8 NC50(XH)6-3/8 3-1/2 3.375 1,109,920 44,673 22,337 21.44 G-105 553,833 57,633 13,000 13,300 IEU 5-1/8 5-1/2FH 7 3-3/4 3.625

37、1,148,407 61,352 30,676 22.46 IEU 5-1/8 H90 6-1/2 3 2.875 1,323,691 58,469 29,235 22.32 IEU 5-1/8 NC50(XH)6-1/2 3-1/4 3.125 1,268,963 51,447 25,724 21.92 S-135 712,070 74,100 15,670 17,110 IEU 5-1/8 5-1/2FH 7-1/4 3-1/2 3.375 1,619,231 72,483 36,242 23.40 IEU 5-1/8 NC50(XH)6-5/8 2-3/4 2.625 1,551,706

38、 62,387 31,194 22.60 4.00025.60E 530,114 52,257 13,500 13,130 IEU 5-1/8 5-1/2FH 7 3-1/2 3.375 1,619,231 61,352 30,676 28.26 IEU 5-1/8 NC50(XH)6-3/8 3-1/2 3.375 1,109,920 44,673 22,337 26.89 X-95 671,515 66,192 17,100 16,630 IEU 5-1/8 5-1/2FH 7 3-1/2 3.375 1,619,231 61,352 30,676 28.45 IEU 5-1/8 NC50

39、(XH)6-1/2 3 2.875 1,416,225 55,708 27,854 27.87 G-105 742,201 73,159 18,900 18,380 IEU 5-1/8 5-1/2FH 7-1/4 3-1/2 3.375 1,619,231 72,483 36,242 29.01 IEU 5-1/8 NC50(FH)6-5/8 2-3/4 2.625 1,551,706 62,387 31,194 28.32 S-135 954,259 94,062 24,300 23,630 IEU 5-1/8 5-1/2FH 7-1/4 3-1/4 3.125 1,778,274 77,1

40、51 38,576 29.35 5-1/24.77821.90E 437,116 50,710 8,410 8,610 IEU 5-11/16 FH 7 4 3.875 1,265,802 55,933 27,967 23.77 X-95 553,681 64,233 10,020 10,910 IEU 5-11/16 FH 7 3-3/4 3.625 1,448,407 61,352 30,676 24.37 IEU 5-11/16 H90 7 3-1/2 3.125 1,269,528 59,185 29,593 24.64 G-105 611,963 70,994 10,750 12,0

41、60 IEU 5-11/16 FH 7-1/4 3-1/2 3.375 1,619,231 72,483 36,242 25.21 S-135 786,809 91,278 12,680 15,510 IEU 5-11/16 FH 7-1/2 3 2.875 1,925,536 87,170 43,585 26.63 4.67024.70E 497,222 56,574 10,460 9,900 IEU 5-11/16 FH 7 4 3.875 1,265,802 55,933 27,967 26.33 X-95 629,814 71,660 12,930 12,540 IEU 5-11/16

42、 FH 7-1/4 3-1/2 3.375 1,619,231 72,483 36,242 27.76 G-105 696,111 79,204 14,000 13,860 IEU 5-11/16 FH 7-1/4 3-1/2 3.375 1,619,231 72,483 36,242 27.76 S-135 894,999 101,833 17,020 17,830 IEU 5-11/16 FH 7-1/2 3 2.875 1,925,536 87,170 43,585 28.87 6-5/85.96525.20E 489,470 70,580 4,790 6,540 IEU 6-3/4 F

43、H 8 5 4.875 1,448,800 74,200 37,100 27.30 Note:1.Tool joint plus drill pipe.2.The tensile strength of the tool joint pin is based on 120,000 psi yield and the cross sectional area at the root of the thread 5/8 inch from the shoulder.3.Torsional yield strength based on shear strength of 57.7%of the m

44、inimum strength.4.Recommended make-up torque is half of tool joint torsional yield 5.Tensile strength for the connection exceeds that of the pipe,use pipe strength as guide.6.Data obtained from table 4.2,PP12&13,ED,API SPEC.7,August 1,1990.And reprinted from table 2.10,PP 13&14,Table 2.11,PP 15,16&1

45、7,Table 2.1,2.2&2.3,PP 6-8,14ED,API RP7G,August 1,1990.名师资料总结-精品资料欢迎下载-名师精心整理-第 4 页，共 5 页 -DDDC FIELD HANDBOOK 1 API DRILL PIPE REQUIREMENTS Drill pipe size Drift mandrel length Drift mandrel diameter ALL EU(EXCEPT 3.5,13.3#)4 I.D.MINUS 3/16 TENSILE REQUIREMENTS GRADE YIELD STRENGTH TENSILE STRENGTH

46、 MINIMUM PSI MIN.PSI MAX.PSI D*55,000-95,000 E 75,000 105,00 100,000 X-95 95,000 125,000 105,000 G-105 105,000 135,000 115,000 S-135 135,000 165,000 145,000 RANGE LENGTHS RANGE 1(ft.)RANGE 2(ft.)RANGE 3(ft.)Total range length,includes 18-22 27-30 38-45 Range length for 95%or more of carload:Permissi

47、ble length,minimum Permissible variation,maximum 20 2-Range length for 95%or more of carload:Permissible length,minimum Permissible variation,maximum-27 2 38 3 TOLERANCES DIMENSION DRILL PIPE SIZE(in.)TOLERANCE(in)O.D.*2.375-3.500+3/32,-1/32 4-5+7/64,-0.75%O.D.5.000-6.625+1/8,-0.75%O.D.Wall thicknes

48、s ALL SIZES-12.5%I.D.Governed by O.D.tolerances Eccentricity:O.D.0.093Max.(total indicator reading)Eccentricity:I.D.1/16 Max.(1/8total indicator reading)OVALITY(on upset)0.093 maximum*Grade D is no longer listed in API.*Measurements made immediately behind the upset for a distance of approximately 5 for sizes 5.5 O.D.and smaller,and a distance approximately equal to the O.D.for sizes larger than 5.5.Data reprinted from Sect.6.7,P14,Table 6.3,P17,2UD ED.,API Spec.5D,Mar 1,1991 名师资料总结-精品资料欢迎下载-名师精心整理-第 5 页，共 5 页 -