。
以测段1为例:
cos??cos?1cos?2?sin?1sin?2cos(?2??1)?cos3cos3?sin3sin3cos194?15?0.9945oooo?oo?(三角函数值保留4位小数)
??arccos?cos?1cos?2?sin?1sin?2cos(?2??1)??arccos?0.9945??6.00
Kc?30?/?Dm?30?6.00?5.45o/30m 33??(2)行业标准计算公式: P170:式(5-3)、(5-2)
??(??2???2?sin2?c)0.5
其中:????B??A, ?c?(?A??B)2, ????B??A 注意???180?
Kc?30??Dm
测段1:狗腿角????2???2sin2?c平均井眼曲率:Kc?30?
?Dm???0.5?(0o?1792sin23o)0.5?9.37o
30?9.37?8.52o/30m 33??36. 求井斜方位角增量??及平均井斜方位角?c
测 段 1 300 10 70 335 2 185 25 -160 105 3 3 355 -8 -1 4 45 230 -175 -42.5 ?1?2??o oo?co解:当???180?时要特别注意! (1)???180?时: ????2??1?360o
?c??2??12?180o
(2)????180?时:????2??1?360o
-可编辑修改-
。
?c?
?2??12?180o
37. 分别用平均角法和校正平均角法完成测斜计算,设计方位角?0?22o
L/m 平均角法 校正平均角法 DLS/m 0.244 N/m 1.33 1.404 2.95 0.175 6.27 0.235 9.30 -0.01 0.01 1524.10 0.04 1531.87 0.01 1541.98 1550.50 E/m D/m V/m 1.24 2.75 5.82 8.62 0.235 0.175 1.404 DLS/m 0.244 ?/o ?o N/m E/m D/m V/m 1524.24 1532.24 1542.89 1551.94 6.11 1.06 1.33 0.01 1524.20 0.04 1532.03 0.01 1542.15 -0.01 1550.68 1.24 2.76 5.83 8.63 17.34 19.00 20.12 0.89 2.96 358.2 0.99 6.28 9.31 解:(1)根据行业标准,由第1测点推算第0测点参数:
L0?D0?Dm0?1524.24?25?1499.24m Lp0?0,N0?0,E0?0
-可编辑修改-
。
(2)计算所需参数列于下表:
fDi?1???i24,fHi????1?2i???i2?24 注意:??i、??i采用弧度 测段 1 2 3 4 ?Dm/m ??/o ??/o ?c/o 3.055 ?c/o 0.53 fDi fHi 25.0 8.0 10.65 9.05 6.11 11.23 1.66 1.12 0 -0.17 -2.69 2.79 0.996 0.992 0.999 0.999 1.000 0.998 1.000 1.000 11.725 0.975 18.17 19.56 -0.455 359.595
(3)平均角法:
测段1:?D1??Dm1cos?c1?25?cos3.055o?24.96(m)
D1?D0??D1?14499.24?24.96?1524.20(m)
?N1??Dm1sin?c1cos?c1?25sin3.055ocos0.53o?1.33(m)
N1?N0??N1?0?1.33?1.33(m)
?E1??Dm1sin?c1sin?c1?25sin3.055osin0.53o?0.01(m)
E1?E0??E1?0?0.01?0.01(m)
水平位移S1?N12?E12?1.332?0.012?1.33
?E1??0.01???atn平移方位角?1?atn????0.43? ?N??1.33??1?视平移V1?S1cos?0??1?1.33?cos22o?0.43o?1.24(m) 狗腿角?1???12???12sin2?c1曲率Kc1?30?1??0.5?6.112?0??0.5?6.11o
?Dm1?30?6.1125?7.33(o/30m)?0.244(o/m)
-可编辑修改-
。
测段2:?D2??Dm2cos?c2?8?cos11.73o?7.83(m)
D2?D1??D2?1524.20?7.83?1532.03(m)
?N2??Dm2sin?c2cos?c2?8?sin11.73ocos0.98o?1.63(m)
N2?N1??N2?1.33?1.63?2.96(m)
?E2??Dm2sin?c2sin?c2?8?sin11.73osin0.975o?0.03(m)
E2?E1??E2?0.01?0.03?0.04(m)
22S2?N2?E2?2.962?0.042?2.96(m)
?2?atn???E2??0.04???atn???0.77? ?N2.96???2?V2?S2cos?0??2?2.96?cos22o?0.77o?2.76(m)
222?2????2???2sin2?c2??11.232???0.17??sin211.730.5??0.5?11.23o
Kc2?30?2?Dm2?30?11.23?42.11(o/30m)?1.404(o/m)
8测段3:?D3??Dm3cos?c3?10.65?cos18.17o?10.12(m)
D3?D2??D3?1532.03?10.12?1542.15(m)
?N3??Dm3sin?c3cos?c3?10.65?sin18.17ocos?0.455o?3.32m
??N3?N2??N3?2.96?3.32?6.28(m)
?E3??Dm3sin?c3sin?c3?10.65?sin18.17osin?0.455o??0.03(m)
??E3?E2??E3?0.04?(?0.03)?0.01(m)
S3?N32?E32?6.282?0.012?6.28(m)
?3?atn???E3??0.01???atn???0.09? ??6.28??N3?V3?S3cos?0??3?6.28?cos22o?0.09??5.83(m)
?3???????sin?c3??1.66???2.69??sin18.17232320.5222??0.5?1.86o
-可编辑修改-
。
Kc3?
30?3?Dm3?30?1.86?5.24(o/30m)?0.175(o/m)
10.65测段4:?D4??Dm4cos?c4?9.05?cos19.56o?8.53(m)
D4?D3??D4?1542.15?8.53?1550.68(m)
?N4??Dm4sin?c4cos?c4?9.05?sin19.56?cos359.595??3.03(m) N4?N3??N4?6.28?3.03?9.31(m)
?E4??Dm4sin?c4sin?c4?9.05?sin19.56osin359.6o??0.02(m)
E4?E3??E4?0.01?(?0.02)??0.01(m)
22S4?N4?E4?9.312???0.01??9.31(m)
2?4?atn???E4???0.01???atn????0.06? ??9.31??N4?V4?S4cos?0??4?9.31?cos22o???0.06???8.63(m)
22?4????4???4sin2?c4???1.122?2.792?sin219.56??2.13o
0.50.5Kc4?30?4
?Dm4?30?2.139.05?7.06(o/30m)?0.235(o/m)
(2)校正平均角法:同样依据公式计算。
测段1:D1??D0?fD1?Dm1cos?c1?1499.24?0.996?25cos3.055o?1524.10(m)
??N0?fH1?Dm1sin?c1cos?c1?0?1.000?25sin3.055ocos0.53o?1.33(m) N1??E0?fH1?Dm1sin?c1sin?c1?0?1.000?25sin3.055osin0.53o?0.01(m) E1S1'?N1'2?E1'2?1.332?0.012?1.33(m) ?E1'??0.01????atn??atn???0.43? ?N'??1.33??1?'1V1'?S1'cos?0??1'?1.33?cos22o?0.43o?1.24(m)
-可编辑修改-
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