Thống kê và xử lý số liệu địa chất

CHÖÔNG 1: THOÁNG KEÂ VAØ XÖÛ LYÙ SOÁ LIEÄU ÑÒA CHAÁT 1. Giôùi thieäu ñòa chaát coâng trình: Coâng trình CHUNG CÖ 348 BEÁN VAÂN ÑOÀN coù khoái löôïng khaûo saùt goàm 3 hoá khoan naèm trong khoaûng dieän tích xaây döïng, caùc hoá khoan khaûo saùt ñöôïc boá trí ôû giöõa Caùc hoá khoan: HK1, HK2 ,HK3 coù chieàu saâu khoan laø 48m, laáy maãu 24 laàn Toång soá meùt khoan: 144m Toång soá maãu laáy thí nghieäm: 72 maãu Moâ taû caáu taïo neàn: _ Lôùp 1 : Seùt pha caùt laån soûi saïn laterite , maøu naâu ñoû / maøu vaøng ñoám traéng , ñoä deõo trung bình , traïng thaùi deõo meàm :coù beà daøy HK1 = 2.6m vaø HK2 = 2.5m , HK3 = 2.5m Vôùi caùc tính chaát cô lyù ñaët tröng nhö sau: Ñoä aåm : W = 23.2 % Dung troïng töï nhieân : gw = 1.903 g/cm³ Dung troïng ñaåy noåi : g’ = 0.969 g/cm³ Löïc dính ñôn vò : c = 0.128 KG/cm² Goùc ma saùt trong : j = 14o _ Lôùp 2 : Seùt pha caùt maøu xaùm traéng /maøu vaøng naâu ñoû nhaït ñoä deõo trung bình ,traïng thaùi deõo cöùng,coù beà daøy taïi HK1 = 9.9m ,KH2 = 11m ,KH3 = 9.8m Vôùi caùc tính chaát cô lyù ñaët tröng nhö sau: Ñoä aåm : W = 23.3 % Dung troïng töï nhieân : gw = 1.912 g/cm³ Dung troïng ñaåy noåi : g’ = 0.972 g/cm³ Löïc dính ñôn vò : c = 0.143 KG/cm² Goùc ma saùt trong : j = 13o Söùc chòu neùn ñôn : Qu = 1.262KG/cm2 _ Lôùp 3: Caùt vöøa ñeán mòn laãn boät vaø ít saïn nhoû maøu naâu vaøng nhaït ñeán naâu ñoû nhaït traïng thaùi bôøi rôøi ñeán chaët vöøa , goàm 2 lôùp . Lôùp 3a: Traïng thaùi bôøi rôøi coù beà daøy taïi HK1 =19.1m, KH2 = 18m , KH3 = 17.1m Vôùi caùc tính chaát cô lyù ñaët tröng nhö sau: Ñoä aåm : W = 26.3 % Dung troïng töï nhieân : gw = 1.865 g/cm³ Dung troïng ñaåy noåi : g’ = 0.923 g/cm³ Löïc dính ñôn vò : c = 0.024 KG/cm² Goùc ma saùt trong : j = 26.45o Lôùp 3b: Traïng thaùi chaët vöùa , coù beà daøy taïi KH1 =7.0m HK2 = 8.5m, KH3 = 9m Vôùi caùc tính chaát cô lyù ñaët tröng nhö sau: Ñoä aåm : W = 21.1 % Dung troïng töï nhieân : gw = 1.930 g/cm³ Dung troïng ñaåy noåi : g’ = 0.988 g/cm³ Löïc dính ñôn vò : c = 0.029 KG/cm² Goùc ma saùt trong : j = 29.30o _ Lôùp 4: Seùt laãn boät vaân caùt buïi , maøu naâu vaøng nhaït ñeán naâu ñoû nhaïtvaân xaùm traéng ñoä deõo cao,traïng thaùi nöõa cöùng coù beà daøy tai KH1 vaø KH 3 = 9.9m , KH2 = 8.m Vôùi caùc tính chaát cô lyù ñaët tröng nhö sau: Ñoä aåm : W = 26.6 % Dung troïng töï nhieân : gw = 1.959 g/cm³ Dung troïng ñaåy noåi : g’ = 0.972 g/cm³ Löïc dính ñôn vò : c = 0.285 KG/cm² Goùc ma saùt trong : j = 15.15o Söùc chòu neùn ñôn : Qu = 2.079 KG/cm2 Maët caét ñòa chaát coâng trình 2 Thoáng keâ caùc chæ tieâu vaät lyù: _ Böôùc 1: Taäp hôïp soá lieäu cuûa 1 lôùp ñaát ôû taát caû caùc hoá khoan _ Böôùc 2: tính giaù trò trung bình Atb = Ai : laø caùc chæ tieâu vaät lyù n : soá maãu trong 1 lôùp _ Böôùc 3 : loaïi boû sai soá Ai neáu >= v v : heä soá phuï thuoäc vaøo n neáu n > 25 neáu n <= 25 _ Böôùc 4 : tính heä soá bieán ñoåi V = < [V] [V] :heä soá bieán ñoåi cho pheùp [V] = 0.3 : ñoái vôùi modun bieán daïng, söùc choáng caét [V] = 0.15 : ñoái vôùi heä soá roãng vaø ñoä aåm Heä soá bieán ñoåi khoâng thoaû phaûi chia laïi lôùp ñaát _ Böôùc 5: xaùc dònh giaù trò tính toaùn + Thoáng keâ c , : Phöông phaùp bình phöông cöïc tieåu: Löïc dính tieâu chuaån c vaø goùc ma saùt trong tieâu chuaån ñöôïc xaùc ñònh theo caùc coâng thöùc sau Ctc = tg = Ñaëc tröng tính toaùn ñöôïc xaùc ñònh theo coâng thöùc Att = Atc(1) = = tv v = kd : heä soá an toaøn v : heä soá bieán ñoåi t : phuï thuoäc n vaø ( phuï luïc 1 baûng 2 TCXD 74 – 1987) Ñeå tính toaùn v , caùc giaù trò ñoä leäch toaøn phöông trung bình coù daïng nhö sau: = Trong ñoù + Caùc chæ tieâu khaùc laáy baèng trung bình coäng cuûa nhöõng chæ soá rieâng 2.1. Lôùp 1: XAÙC ÑÒNH SAI SOÁ VAØ LOAÏI TRÖØ SAI SOÁ THOÂ STT p=1 (kg/cm2) p=2 (kg/cm2) p=3 (kg/cm2) ti ttb-ti (ttb-ti)2 ti ttb-ti (ttb-ti)2 ti ttb-ti (ttb-ti)2 1--1 0.384 -0.004 0.000 0.683 -0.035 0.001 0.892 -0.007 0.000 2--1 0.380 -0.128 0.016 0.634 0.002 0.000 0.888 -0.005 0.000 3--1 0.377 -0.251 0.063 0.627 -0.202 0.041 0.876 -0.289 0.083 ttb = 0.380 S(ttb-ti)2=0.0795 dtb=0.163 v = 2.07 v*dtb = 0.337 d = 0.282 v = d/ttb = 0.282/0.380 = 0.742 THOÁNG KEÂ C , Soá hieäu maãu pi ti pi2 pi*ti ttb ttb−ti (ttb−ti)2 1--1 1 0.384 1 0.384 0.380 -0.004 0.0000 2--1 1 0.380 1 0.38 0.380 0.000 0.0000 3--1 1 0.377 1 0.377 0.380 0.003 0.0000 1--1 2 0.683 4 1.366 0.648 -0.035 0.0012 2--1 2 0.634 4 1.268 0.648 0.014 0.0002 3--1 2 0.627 4 1.254 0.648 0.021 0.0004 1--1 3 0.892 9 2.676 0.885 -0.007 0.0000 2--1 3 0.888 9 2.664 0.885 -0.003 0.0000 3--1 3 0.876 9 2.628 0.885 0.009 0.0001 å 18 5.741 42 12.997 0.0020 D tgjtc jtc ctc st sc vc tgj vtgj 54 0.253 14o 0.133 0.017 0.015 0.113 0.007 0.028 Thoáng keâ dung troïng töï nhieân: Do n <6 maãu neân ta laáy trung bình caùc maãu. gItt = gIItt= gtc = gtb = 1.9(g/cm3) (dng troïng öôùt) gItt = gIItt gtc = gtb = 1.54(g/cm3)(dung troïng khoâ) gItt = gIItt gtc = gtb = 0.97(g/cm3)(dung troïng ñaåy noåi) Heä soá roãng e = 0.735 Ñoä seät B = 0.52 2.2. Lôùp 2: Soá hieäumaãu p=1 (kg/cm2) p=2 (kg/cm2) p=3 (kg/cm2) ti ttb-ti (ttb-ti)2 ti ttb-ti (ttb-ti)2 ti ttb-ti (ttb-ti)2 1--3 0.3680 0.0219 0.0005 0.5990 0.0499 0.0025 0.8300 0.0637 0.0041 1--5 0.3820 0.0079 0.0001 0.6370 0.0119 0.0001 0.8750 0.0187 0.0003 1--7 0.3880 0.0019 0.0000 0.6650 -0.0161 0.0003 0.8850 0.0087 0.0001 1--9 0.3970 -0.0071 0.0000 0.6680 -0.0191 0.0004 0.9260 -0.0323 0.0010 1--11 0.4010 -0.0111 0.0001 0.6980 -0.0491 0.0024 0.9640 -0.0703 0.0049 2--3 0.3640 0.0259 0.0007 0.6010 0.0479 0.0023 0.8320 0.0617 0.0038 2--5 0.3810 0.0089 0.0001 0.6240 0.0249 0.0006 0.8430 0.0507 0.0026 2--7 0.3850 0.0049 0.0000 0.6350 0.0139 0.0002 0.8650 0.0287 0.0008 2--9 0.3980 -0.0081 0.0001 0.6950 -0.0461 0.0021 0.9050 -0.0113 0.0001 2--11 0.4050 -0.0151 0.0002 0.7030 -0.0541 0.0029 0.9680 -0.0743 0.0055 3--3 0.3700 0.0199 0.0004 0.6060 0.0429 0.0018 0.8410 0.0527 0.0028 3--5 0.3860 0.0039 0.0000 0.6260 0.0229 0.0005 0.8860 0.0077 0.0001 3--7 0.3850 0.0049 0.0000 0.6290 0.0199 0.0004 0.8740 0.0197 0.0004 3--9 0.4160 -0.0261 0.0007 0.6700 -0.0211 0.0004 0.9240 -0.0303 0.0009 3--11 0.4320 -0.0421 0.0018 0.7100 -0.0611 0.0037 0.9870 -0.0933 0.0087 ttb = 0.3899 ttb = 0.6489 ttb = 0.8936 S(ttb-ti)2= 0.0045 S(ttb-ti)2= 0.0215 S(ttb-ti)2= 0.0362 dtb = 0.017 dtb = 0.0378 dtb = 0.049 v = 2.64 v = 2.64 v = 2.64 v*dtb = 0.0449 v*dtb = 0.0997 v*dtb = 0.1294 d = 0.0186 d = 0.0407 d = 0.0527 v = d/ttb =0.0459 <0.3 v = d/ttb = 0.063 <0.3 v = d/ttb = 0.059 <0.3 Nhaän Nhaän Nhaän THOÁNG KEÂ C , Soá hieäu maãu pi ti pi2 pi*ti ttb ttb-ti (ttb-ti)2 1--3 1 0.3680 1 0.368 0.3905 0.0225 0.0005 1--5 1 0.3820 1 0.382 0.3905 0.0085 0.0001 1--7 1 0.3880 1 0.388 0.3905 0.0025 0.0000 1--9 1 0.3970 1 0.397 0.3905 -0.0065 0.0000 1--11 1 0.4010 1 0.401 0.3905 -0.0105 0.0001 2--3 1 0.3640 1 0.364 0.3905 0.0265 0.0007 2--5 1 0.3810 1 0.381 0.3905 0.0095 0.0001 2--7 1 0.3850 1 0.385 0.3905 0.0055 0.0000 2--9 1 0.3980 1 0.398 0.3905 -0.0075 0.0001 2--11 1 0.4050 1 0.405 0.3905 -0.0145 0.0002 3--3 1 0.3700 1 0.37 0.3905 0.0205 0.0004 3--5 1 0.3860 1 0.386 0.3905 0.0045 0.0000 3--7 1 0.3850 1 0.385 0.3905 0.0055 0.0000 3--9 1 0.4160 1 0.416 0.3905 -0.0255 0.0006 3--11 1 0.4320 1 0.432 0.3905 -0.0415 0.0017 1--3 2 0.5990 4 1.198 0.6511 0.0521 0.0027 1--5 2 0.6370 4 1.274 0.6511 0.0141 0.0002 1--7 2 0.6650 4 1.33 0.6511 -0.0139 0.0002 1--9 2 0.6680 4 1.336 0.6511 -0.0169 0.0003 1--11 2 0.6980 4 1.396 0.6511 -0.0469 0.0022 2--3 2 0.6010 4 1.202 0.6511 0.0501 0.0025 2--5 2 0.6240 4 1.248 0.6511 0.0271 0.0007 2--7 2 0.6350 4 1.27 0.6511 0.0161 0.0003 2--9 2 0.6950 4 1.39 0.6511 -0.0439 0.0019 2--11 2 0.7030 4 1.406 0.6511 -0.0519 0.0027 3--3 2 0.6060 4 1.212 0.6511 0.0451 0.0020 3--5 2 0.6260 4 1.252 0.6511 0.0251 0.0006 3--7 2 0.6290 4 1.258 0.6511 0.0221 0.0005 3--9 2 0.6700 4 1.34 0.6511 -0.0189 0.0004 3--11 2 0.7100 4 1.42 0.6511 -0.0589 0.0035 1--3 3 0.8300 9 2.49 0.8937 0.0637 0.0041 1--5 3 0.8750 9 2.625 0.8937 0.0187 0.0003 1--7 3 0.8850 9 2.655 0.8937 0.0087 0.0001 1--9 3 0.9260 9 2.778 0.8937 -0.0323 0.0010 1--11 3 0.9640 9 2.892 0.8937 -0.0703 0.0049 2--3 3 0.8320 9 2.496 0.8937 0.0617 0.0038 2--5 3 0.8430 9 2.529 0.8937 0.0507 0.0026 2--7 3 0.8650 9 2.595 0.8937 0.0287 0.0008 2--9 3 0.9050 9 2.715 0.8937 -0.0113 0.0001 2--11 3 0.9680 9 2.904 0.8937 -0.0743 0.0055 3--3 3 0.8410 9 2.523 0.8937 0.0527 0.0028 3--5 3 0.8860 9 2.658 0.8937 0.0077 0.0001 3--7 3 0.8740 9 2.622 0.8937 0.0197 0.0004 3--9 3 0.9240 9 2.772 0.8937 -0.0303 0.0009 3--11 3 0.9870 9 2.961 0.8937 -0.0933 0.0087 S 90 29.0290 210 65.605 0.8937 0.0615 D tgjtc jtc ctc st sc vc tgj Vtga 1350 0.252 14 0.1420 0.038 0.015 0.105 0.007 0.027 Theo traïng thaùi giôùi haïn 2:a = 0.85 , n-2 = 43 Þta = 1.05 rc = ta*c = 1.05*0.105 =0.11 kd(c) = 1/1-rc =1/1-0.11 = 1.123 r*tgj = 0.11*0.027 = 0.003 kd(tgj) = 1/1-rtgj = 1/1-0.003= 1.003 tgrII =tgjtc/kd = 0.252/1.003 = 0.25 Þ jII = 14o cII =ctc/kd (c) = 0.142/1.123 = 0.124 Theo traïng thaùi giôùi haïn 1:a = 0.95 , n-2 = 43 Þta = 1.68 rc = ta*c = 1.68*0.105 =0.176 kd(c) = 1/1-rc =1/1-0.176 = 1.214 r*tgj = 0.176*0.027= 0.005 kd(tgj) = 1/1-rtgj = 1/1-0.005 = 1.005 tgrI = jtc/kd = 0.252/1.005 = 0.251 Þ jI = 14o cI =ctc/kd (c) = 0.142/1.214 = 0.116 Thoáng keâ dung troïng: DUNG TROÏNG ÖÔÙT Soá hieäu maãu gi(g/cm3) gtb -gi(g/cm3) (gtb -gi)2(g/cm3) 1--3 1.890 0.0100 0.0001 1--5 1.916 -0.0160 0.0003 1--7 1.865 0.0350 0.0012 1--9 1.875 0.0250 0.0006 1--11 1.882 0.0180 0.0003 2--3 1.879 0.0210 0.0004 2--5 1.892 0.0080 0.0001 2--7 1.905 -0.0050 0.0000 2--9 1.911 -0.0110 0.0001 2--11 1.925 -0.0250 0.0006 3--3 1.884 0.0160 0.0003 3--5 1.900 0.0000 0.0000 3--7 1.915 -0.0150 0.0002 3--9 1.920 -0.0200 0.0004 3--11 1.943 -0.0430 0.0018 gtb = 1.9 stb = 0.022 n = 15 Þ v= 2.64 v*stb = 2.64*0.022 = 0.058 gtc = gtb = 1.9 S(ti-ttb)2=0.007 s = 0.022 v = 0.012 Theo traïng thaùi giôùi haïn 2:a = 0.85 , n-1 = 14Þta = 1.08 r = 0.003 kd(c) = 1/1-rc =1/1-0.003= 1.003 gII = 1.9/1.003 = 1.89(g/cm2) Theo traïng thaùi giôùi haïn 1:a = 0.95 , n-1 = 14Þta = 1.76 r = 0.005 kd(c) = 1/1-rc =1/1-0.05 = 1.005 gI = 1.9/1.005 = 1.89 (g/cm2) DUNG TROÏNG KHOÂ Soá hieäu maãu gi(g/cm3) gtb -gi(g/cm3) (gtb -gi)2(g/cm3) 1--3 1.505 0.0300 0.0009 1--5 1.572 -0.0370 0.0014 1--7 1.477 0.0580 0.0034 1--9 1.494 0.0410 0.0017 1--11 1.528 0.0070 0.0000 2--3 1.488 0.0470 0.0022 2--5 1.520 0.0150 0.0002 2--7 1.541 -0.0060 0.0000 2--9 1.551 -0.0160 0.0003 2--11 1.578 -0.0430 0.0018 3--3 1.511 0.0240 0.0006 3--5 1.536 -0.0010 0.0000 3--7 1.558 -0.0230 0.0005 3--9 1.569 -0.0340 0.0012 3--11 1.595 -0.0600 0.0036 gtb = 1.54 stb = 0.034 n = 15 Þ v= 2.64 v*stb = 2.64*0.034 = 0.089 gtc = gtb = 1.54 S(ti-ttb)2=0.0178 s = 0.036 v = 0.023 Theo traïng thaùi giôùi haïn 2:a = 0.85 , n-1 = 14Þta = 1.08 r = 0.006 kd(c) = 1/1-rc =1/1-0.006 = 1.006 gII = 1.54/1.006 = 1.55 (g/cm2) Theo traïng thaùi giôùi haïn 1:a = 0.95 , n-1 = 14Þta = 1.76 r = 0.005 kd(c) = 1/1-rc =1/1-0.005 = 1.005 gI = 1.54/1.005 = 1.53 (g/cm2) DUNG TROÏNG ÑAÅY NOÅI Soá hieäu maãu gi(g/cm3) gtb -gi(g/cm3) (gtb -gi)2(g/cm3) 1--3 0.943 0.0180 0.0003 1--5 0.984 -0.0230 0.0005 1--7 0.923 0.0380 0.0014 1--9 0.934 0.0270 0.0007 1--11 0.955 0.0060 0.0000 2--3 0.933 0.0280 0.0008 2--5 0.953 0.0080 0.0001 2--7 0.966 -0.0050 0.0000 2--9 0.972 -0.0110 0.0001 2--11 0.988 -0.0270 0.0007 3--3 0.947 0.0140 0.0002 3--5 0.963 -0.0020 0.0000 3--7 0.977 -0.0160 0.0003 3--9 0.984 -0.0230 0.0005 3--11 0.999 -0.0380 0.0014 gtb = 0.961 stb = 0.022 n = 15 Þ v= 2.64 v*stb = 2.64*0.022= 0.058< 0.3 gtc = gtb = 0.961 S(ti-ttb)2=0.0072 s = 0.023 v = 0.024 Theo traïng thaùi giôùi haïn 2:a = 0.85 , n-1 = 14Þta = 1.08 r = 0.007 kd(c) = 1/1-rc =1/1-0.007 = 1.007 gII = 0.961/1.007 = 0.95 (g/cm2) Theo traïng thaùi giôùi haïn 1:a = 0.95 , n-1 = 14Þta = 1.76 r = 0.011 kd(c) = 1/1-rc =1/1-0.011 = 1.01 gI = 0.961/1.01 = 0.95 (g/cm2) THOÁNG KEÂ ÑOÄ SEÄT Soá hieäu maãu Bi Bi - Btb (Bi - Btb)2 1--3 0.45 0.0420 0.0018 1--5 0.38 -0.0280 0.0008 1--11 0.55 0.1420 0.0202 2--3 0.46 0.0520 0.0027 2--5 0.44 0.0320 0.0010 2--7 0.4 -0.0080 0.0001 2--9 0.38 -0.0280 0.0008 2--11 0.36 -0.0480 0.0023 3--3 0.45 0.0420 0.0018 3--5 0.4 -0.0080 0.0001 3--7 0.37 -0.0380 0.0014 3--9 0.35 -0.0580 0.0034 3--11 0.32 -0.0880 0.0077 Btb = 0.408 å=0.044 d = 0.06 v = 0.155 v = 0.155 < 0.3 HEÄ SOÁ ROÃNG STT Ci(%) Ci-Ctb (Ci-Ctb)2 1--3 0.780 0.035 0.0012 1--5 0.702 -0.043 0.0018 1--7 0.806 0.061 0.0037 1--9 0.784 0.039 0.0015 1--11 0.745 0.000 0.0000 2--3 0.800 0.055 0.0030 2--5 0.763 0.018 0.0003 2--7 0.740 -0.005 0.0000 2--9 0.729 -0.016 0.0003 2--11 0.696 -0.049 0.0024 3--3 0.773 0.028 0.0008 3--5 0.745 0.000 0.0000 3--7 0.721 -0.024 0.0006 3--9 0.710 -0.035 0.0012 3--11 0.678 -0.067 0.0045 Ctb = 0.745 å = 0.0214 d = 0.039 v = 0.05 v = 0.05 < 0.15 2.3. Lôùp 3: 2.3.1. Lôùp 3a: XAÙC ÑÒNH SAI SOÁ VAØ LOAÏI TRÖØ SAI SOÁ THOÂ Soá hieäu maãu p=1 (kg/cm2) p=2 (kg/cm2) p=3 (kg/cm2) ti ttb-ti (ttb-ti)2 ti ttb-ti (ttb-ti)2 ti ttb-ti (ttb-ti)2 1--13 0.5270 0.0095 0.0001 1.0310 0.0166 0.0003 1.5350 0.0257 0.0007 1--15 0.5400 -0.0035 0.0000 1.0550 -0.0074 0.0001 1.5700 -0.0093 0.0001 1--17 0.5340 0.0025 0.0000 1.0430 0.0046 0.0000 1.5530 0.0077 0.0001 1--19 0.5380 -0.0015 0.0000 1.0040 0.0436 0.0019 1.5150 0.0457 0.0021 1--21 0.5380 -0.0015 0.0000 1.0320 0.0156 0.0002 1.5410 0.0197 0.0004 1--23 0.5410 -0.0045 0.0000 1.0520 -0.0044 0.0000 1.5640 -0.0033 0.0000 1--25 0.5340 0.0025 0.0000 1.0430 0.0046 0.0000 1.5530 0.0077 0.0001 1--27 0.5580 -0.0215 0.0005 1.0890 -0.0414 0.0017 1.6210 -0.0603 0.0036 1--29 0.5650 -0.0285 0.0008 1.1030 -0.0554 0.0031 1.6400 -0.0793 0.0063 1--31 0.5560 -0.0195 0.0004 1.0780 -0.0304 0.0009 1.6080 -0.0473 0.0022 2--13 0.494 0.0425 0.0018 0.9650 0.0826 0.0068 1.4370 0.1237 0.0153 2--15 0.487 0.0495 0.0025 0.9540 0.0936 0.0088 1.4200 0.1407 0.0198 2--17 0.504 0.0325 0.0011 1.0020 0.0456 0.0021 1.5040 0.0567 0.0032 2--19 0.512 0.0245 0.0006 1.0310 0.0166 0.0003 1.5240 0.0367 0.0013 2--21 0.498 0.0385 0.0015 0.9980 0.0496 0.0025 1.5080 0.0527 0.0028 2--23 0.528 0.0085 0.0001 1.0320 0.0156 0.0002 1.5360 0.0247 0.0006 2--25 0.546 -0.0095 0.0001 1.0660 -0.0184 0.0003 1.5870 -0.0263 0.0007 2--27 0.552 -0.0155 0.0002 1.0780 -0.0304 0.0009 1.6040 -0.0433 0.0019 2--29 0.559 -0.0225 0.0005 1.0900 -0.0424 0.0018 1.6220 -0.0613 0.0038 2--31 0.558 -0.0215 0.0005 1.0890 -0.0414 0.0017 1.6210 -0.0603 0.0036 3--13 0.505 0.0315 0.0010 0.9880 0.0596 0.0036 1.4700 0.0907 0.0082 3--15 0.51 0.0265 0.0007 0.9970 0.0506 0.0026 1.4850 0.0757 0.0057 3--17 0.523 0.0135 0.0002 1.0210 0.0266 0.0007 1.5200 0.0407 0.0017 3--19 0.528 0.0085 0.0001 1.0320 0.0156 0.0002 1.5360 0.0247 0.0006 3--21 0.536 0.0005 0.0000 1.0450 0.0026 0.0000 1.5500 0.0107 0.0001 3--23 0.54 -0.0035 0.0000 1.0550 -0.0074 0.0001 1.5700 -0.0093 0.0001 3--25 0.548 -0.0115 0.0001 1.0680 -0.0204 0.0004 1.5890 -0.0283 0.0008 3--27 0.564 -0.0275 0.0008 1.1020 -0.0544 0.0030 1.6390 -0.0783 0.0061 3--29 0.595 -0.0585 0.0034 1.1610 -0.1134 0.0129 1.7260 -0.1653 0.0273 3--31 0.577 -0.0405 0.0016 1.1250 -0.0774 0.0060 1.6740 -0.1133 0.0128 ttb = 0.537 ttb = 1.047 ttb = 1.561 S(ti-ttb)2=0.0185 S(ti-ttb)2=0.0630 S(ti-ttb)2=0.1320 stb=0.025 stb=0.046 stb=0.068 n = 30Þv = 2.96 n = 30Þ v = 2.96 n = 30 Þ v = 2.96 v*stb = 0.074 v*stb = 0.136 v*stb = 0.201 s = 0.03 s = 0.04 s = 0.049 v = s/ttb =0.056 <0.3 v = s/ttb = 0.038<0.3 v = s/ttb =0.03 <0.3 Nhaän Nhaän Nhaän THOÁNG KEÂ C , STT pi ti pi2 pi*ti ttb ttb-ti (ttb-ti)2 1--13 1 0.5270 1 0.527 0.5365 0.0095 0.0001 1--15 1 0.5400 1 0.54 0.5365 -0.0035 0.0000 1--17 1 0.5340 1 0.534 0.5365 0.0025 0.0000 1--19 1 0.5380 1 0.538 0.5365 -0.0015 0.0000 1--21 1 0.5380 1 0.538 0.5365 -0.0015 0.0000 1--23 1 0.5410 1 0.541 0.5365 -0.0045 0.0000 1--25 1 0.5340 1 0.534 0.5365 0.0025 0.0000 1--27 1 0.5580 1 0.558 0.5365 -0.0215 0.0005 1--29 1 0.5650 1 0.565 0.5365 -0.0285 0.0008 1--31 1 0.5560 1 0.556 0.5365 -0.0195 0.0004 2--13 1 0.494 1 0.494 0.5365 0.0425 0.0018 2--15 1 0.487 1 0.487 0.5365 0.0495 0.0025 2--17 1 0.504 1 0.504 0.5365 0.0325 0.0011 2--19 1 0.512 1 0.512 0.5365 0.0245 0.0006 2--21 1 0.498 1 0.498 0.5365 0.0385 0.0015 2--23 1 0.528 1 0.528 0.5365 0.0085 0.0001 2--25 1 0.546 1 0.546 0.5365 -0.0095 0.0001 2--27 1 0.552 1 0.552 0.5365 -0.0155 0.0002 2--29 1 0.559 1 0.559 0.5365 -0.0225 0.0005 2--31 1 0.558 1 0.558 0.5365 -0.0215 0.0005 3--13 1 0.505 1 0.505 0.5365 0.0315 0.0010 3--15 1 0.51 1 0.51 0.5365 0.0265 0.0007 3--17 1 0.523 1 0.523 0.5365 0.0135 0.0002 3--19 1 0.528 1 0.528 0.5365 0.0085 0.0001 3--21 1 0.536 1 0.536 0.5365 0.0005 0.0000 3--23 1 0.54 1 0.54 0.5365 -0.0035 0.0000 3--25 1 0.548 1 0.548 0.5365 -0.0115 0.0001 3--27 1 0.564 1 0.564 0.5365 -0.0275 0.0008 3--29 1 0.595 1 0.595 0.5365 -0.0585 0.0034 3--31 1 0.577 1 0.577 0.5365 -0.0405 0.0016 1--13 2 1.0310 4 2.062 1.0476 0.0166 0.0003 1--15 2 1.0550 4 2.11 1.0476 -0.0074 0.0001 1--17 2 1.0430 4 2.086 1.0476 0.0046 0.0000 1--19 2 1.0040 4 2.008 1.0476 0.0436 0.0019 1--21 2 1.0320 4 2.064 1.0476 0.0156 0.0002 1--23 2 1.0520 4 2.104 1.0476 -0.0044 0.0000 1--25 2 1.0430 4 2.086 1.0476 0.0046 0.0000 1--27 2 1.0890 4 2.178 1.0476 -0.0414 0.0017 1--29 2 1.1030 4 2.206 1.0476 -0.0554 0.0031 1--31 2 1.0780 4 2.156 1.0476 -0.0304 0.0009 2--13 2 0.9650 4 1.93 1.0476 0.0826 0.0068 2--15 2 0.9540 4 1.908 1.0476 0.0936 0.0088 2--17 2 1.0020 4 2.004 1.0476 0.0456 0.0021 2--19 2 1.0310 4 2.062 1.0476 0.0166 0.0003 2--21 2 0.9980 4 1.996 1.0476 0.0496 0.0025 2--23 2 1.0320 4 2.064 1.0476 0.0156 0.0002 2--25 2 1.0660 4 2.132 1.0476 -0.0184 0.0003 2--27 2 1.0780 4 2.156 1.0476 -0.0304 0.0009 2--29 2 1.0900 4 2.18 1.0476 -0.0424 0.0018 2--31 2 1.0890 4 2.178 1.0476 -0.0414 0.0017 3--13 2 0.9880 4 1.976 1.0476 0.0596 0.0036 3--15 2 0.9970 4 1.994 1.0476 0.0506 0.0026 3--17 2 1.0210 4 2.042 1.0476 0.0266 0.0007 3--19 2 1.0320 4 2.064 1.0476 0.0156 0.0002 3--21 2 1.0450 4 2.09 1.0476 0.0026 0.0000 3--23 2 1.0550 4 2.11 1.0476 -0.0074 0.0001 3--25 2 1.0680 4 2.136 1.0476 -0.0204 0.0004 3--27 2 1.1020 4 2.204 1.0476 -0.0544 0.0030 3--29 2 1.1610 4 2.322 1.0476 -0.1134 0.0129 3--31 2 1.1250 4 2.25 1.0476 -0.0774 0.0060 1--13 3 1.5350 9 4.605 1.5607 0.0257 0.0007 1--15 3 1.5700 9 4.71 1.5607 -0.0093 0.0001 1--17 3 1.5530 9 4.659 1.5607 0.0077 0.0001 1--19 3 1.5150 9 4.545 1.5607 0.0457 0.0021 1--21 3 1.5410 9 4.623 1.5607 0.0197 0.0004 1--23 3 1.5640 9 4.692 1.5607 -0.0033 0.0000 1--25 3 1.5530 9 4.659 1.5607 0.0077 0.0001 1--27 3 1.6210 9 4.863 1.5607 -0.0603 0.0036 1--29 3 1.6400 9 4.92 1.5607 -0.0793 0.0063 1--31 3 1.6080 9 4.824 1.5607 -0.0473 0.0022 2--13 3 1.4370 9 4.311 1.5607 0.1237 0.0153 2--15 3 1.4200 9 4.26 1.5607 0.1407 0.0198 2--17 3 1.5040 9 4.512 1.5607 0.0567 0.0032 2--19 3 1.5240 9 4.572 1.5607 0.0367 0.0013 2--21 3 1.5080 9 4.524 1.5607 0.0527 0.0028 2--23 3 1.5360 9 4.608 1.5607 0.0247 0.0006 2--25 3 1.5870 9 4.761 1.5607 -0.0263 0.0007 2--27 3 1.6040 9 4.812 1.5607 -0.0433 0.0019 2--29 3 1.6220 9 4.866 1.5607 -0.0613 0.0038 2--31 3 1.6210 9 4.863 1.5607 -0.0603 0.0036 3--13 3 1.4700 9 4.41 1.5607 0.0907 0.0082 3--15 3 1.4850 9 4.455 1.5607 0.0757 0.0057 3--17 3 1.5200 9 4.56 1.5607 0.0407 0.0017 3--19 3 1.5360 9 4.608 1.5607 0.0247 0.0006 3--21 3 1.5500 9 4.65 1.5607 0.0107 0.0001 3--23 3 1.5700 9 4.71 1.5607 -0.0093 0.0001 3--25 3 1.5890 9 4.767 1.5607 -0.0283 0.0008 3--27 3 1.6390 9 4.917 1.5607 -0.0783 0.0061 3--29 3 1.7260 9 5.178 1.5607 -0.1653 0.0273 3--31 3 1.6740 9 5.022 1.5607 -0.1133 0.0128 å 180 94.35 420 219.42 0.214 D tgjtc j ctc st sc vc tgj Vtga 5400 0.512 27o 0.024 0.012 0.003 0.140 0.002 0.003 Theo traïng thaùi giôùi haïn 2:a = 0.85 , n-1 = 89 Þta = 0.7 rc = ta*c = 0.7*0.14 =0.098 kd(c) = 1/1-rc =1/1-0.098 = 1.108 r*tgj = 0.098*0.003= 0.0003 kd(tgj) = 1/1-rtgj = 1/1-0.0003 = 1.0 tgrII = tgtcj/kd(tgj)= 0.512/1.0 = 0.512Þ jII = 27o cII =ctc/kd (c) = 0.024/1.108 = 0.023 Theo traïng thaùi giôùi haïn 1:a = 0.95 , n-1 = 89 Þta = 0.9 rc = ta*c = 0.9*0.14 =0.126 kd(c) = 1/1-rc =1/1-0.126 = 1.144 r*tgj = 0.126*0.003 = 0.126 kd(tgj) = 1/1-rtgj = 1/1-0.126 = 1.144 tgrI = tgtcj/kd = 0.512/1.144= 0.45 Þ jI = 24o cI =ctc/kd (c) = 0.024/1.144 = 0.021 Thoáng keâ dung troïng: DUNG TROÏNG ÖÔÙT Soá hieäu maãu gi(g/cm3) gtb -gi(g/cm3) (gtb -gi)2(g/cm3) 1--13 1.855 0.0150 0.0002 1--15 1.868 0.0020 0.0000 1--17 1.861 0.0090 0.0001 1--19 1.877 -0.0070 0.0000 1--21 1.883 -0.0130 0.0002 1--23 1.881 -0.0110 0.0001 1--25 1.864 0.0060 0.0000 1--27 1.884 -0.0140 0.0002 1--29 1.890 -0.0200 0.0004 1--31 1.910 -0.0400 0.0016 2--13 1.833 0.0370 0.0014 2--15 1.829 0.0410 0.0017 2--17 1.845 0.0250 0.0006 2--19 1.848 0.0220 0.0005 2--21 1.854 0.0160 0.0003 2--23 1.858 0.0120 0.0001 2--25 1.878 -0.0080 0.0001 2--27 1.881 -0.0110 0.0001 2--29 1.887 -0.0170 0.0003 2--31 1.882 -0.0120 0.0001 3--13 1.837 0.0330 0.0011 3--15 1.841 0.0290 0.0008 3--17 1.852 0.0180 0.0003 3--19 1.854 0.0160 0.0003 3--21 1.860 0.0100 0.0001 3--23 1.872 -0.0020 0.0000 3--25 1.876 -0.0060 0.0000 3--27 1.894 -0.0240 0.0006 3--29 1.916 -0.0460 0.0021 3--31 1.900 -0.0300 0.0009 gtb = 1.87 å =0.014 stb = 0.022 n = 30 Þ v= 2.96 v*stb = 2.96*0.022 = 0.065 gtc = gtb = 1.87 S(ti-ttb)2=0.014 s = 0.022 v = 0.012 Theo traïng thaùi giôùi haïn 2:a = 0.85 , n-1 = 29Þta = 1.05 r = 0.002 kd(c) = 1/1-rc =1/1-0.002 = 1.002 gII = 1.87/1.002 = 1.87(g/cm2) Theo traïng thaùi giôùi haïn 1:a = 0.95 , n-1 = 29Þta = 1.70 r = 0.004 kd(c) = 1/1-rc =1/1-0.004 = 1.004 gI = 1.87/1.004 = 1.86 (g/cm2) DUNG TROÏNG KHOÂ Soá hieäu maãu gi(g/cm3) gtb -gi(g/cm3) (gtb -gi)2(g/cm3) 1--13 1.465 0.0150 0.0002 1--15 1.485 -0.0050 0.0000 1--17 1.475 0.0050 0.0000 1--19 1.498 -0.0180 0.0003 1--21 1.506 -0.0260 0.0007 1--23 1.502 -0.0220 0.0005 1--25 1.478 0.0020 0.0000 1--27 1.510 -0.0300 0.0009 1--29 1.517 -0.0370 0.0014 1--31 1.547 -0.0670 0.0045 2--13 1.429 0.0510 0.0026 2--15 1.422 0.0580 0.0034 2--17 1.448 0.0320 0.0010 2--19 1.453 0.0270 0.0007 2--21 1.460 0.0200 0.0004 2--23 1.468 0.0120 0.0001 2--25 1.499 -0.0190 0.0004 2--27 1.505 -0.0250 0.0006 2--29 1.513 -0.0330 0.0011 2--31 1.508 -0.0280 0.0008 3--13 1.434 0.0460 0.0021 3--15 1.443 0.0370 0.0014 3--17 1.457 0.0230 0.0005 3--19 1.463 0.0170 0.0003 3--21 1.473 0.0070 0.0000 3--23 1.492 -0.0120 0.0001 3--25 1.496 -0.0160 0.0003 3--27 1.521 -0.0410 0.0017 3--29 1.558 -0.0780 0.0061 3--31 1.532 -0.0520 0.0027 gtb = 1.48 å = 0.0349 stb = 0.034 n = 30 Þ v= 2.96 v*stb = 2.96*0.034 = 0.101 gtc = gtb = 1.48 S(ti-ttb)2=0.0349 s = 0.035 v = 0.024 Theo traïng thaùi giôùi haïn 2:a = 0.85 , n-1 = 29Þta = 1.05 r = 0.005 kd(c) = 1/1-rc =1/1-0.005 = 1.005 gII = 1.48/1.005 = 1.47(g/cm2) Theo traïng thaùi giôùi haïn 1:a = 0.95 , n-1 = 29Þta = 1.70 r = 0.007 kd(c) = 1/1-rc =1/1-0.007 = 1.007 gI = 1.48/1.007 = 1.47 (g/cm2) DUNG TROÏNG ÑAÅY NOÅI Soá hieäu maãu gi(g/cm3) gtb -gi(g/cm3) (gtb -gi)2(g/cm3) 1--13 0.916 0.0140 0.0002 1--15 0.928 0.0020 0.0000 1--17 0.922 0.0080 0.0001 1--19 0.936 -0.0060 0.0000 1--21 0.941 -0.0110 0.0001 1--23 0.939 -0.0090 0.0001 1--25 0.924 0.0060 0.0000 1--27 0.944 -0.0140 0.0002 1--29 0.948 -0.0180 0.0003 1--31 0.967 -0.0370 0.0014 2--13 0.893 0.0370 0.0014 2--15 0.889 0.0410 0.0017 2--17 0.905 0.0250 0.0006 2--19 0.909 0.0210 0.0004 2--21 0.913 0.0170 0.0003 2--23 0.918 0.0120 0.0001 2--25 0.937 -0.0070 0.0000 2--27 0.940 -0.0100 0.0001 2--29 0.945 -0.0150 0.0002 2--31 0.942 -0.0120 0.0001 3--13 0.897 0.0330 0.0011 3--15 0.902 0.0280 0.0008 3--17 0.911 0.0190 0.0004 3--19 0.914 0.0160 0.0003 3--21 0.921 0.0090 0.0001 3--23 0.933 -0.0030 0.0000 3--25 0.935 -0.0050 0.0000 3--27 0.950 -0.0200 0.0004 3--29 0.973 -0.0430 0.0018 3--31 0.956 -0.0260 0.0007 gtb = 0.93 å = 0.013 stb = 0.021 n = 30 Þ v= 2.96 v*stb = 2.96*0.021= 0.062 gtc = gtb = 0.93 S(ti-ttb)2=0.013 s = 0.022 v = 0.023 Theo traïng thaùi giôùi haïn 2:a = 0.85 , n-2 = 28Þta = 1.05 r = 0.004 kd(c) = 1/1-rc =1/1-0.004 = 1.004 gII = 0.93/1.004 = 0.92(g/cm2) Theo traïng thaùi giôùi haïn 1:a = 0.95 , n-2 = 28Þta = 1.70 r = 0.007 kd(c) = 1/1-rc =1/1-0.007 = 1.007 gI = 0.93/1.007 = 0.92 (g/cm2) HEÄ SOÁ ROÃNG Soá hieäu maãu Ci(%) Ci-Ctb (Ci-Ctb)2 1--13 0.820 -0.024 0.0006 1--15 0.796 0.000 0.0000 1--17 0.808 -0.012 0.0001 1--19 0.780 0.016 0.0003 1--21 0.770 0.026 0.0007 1--23 0.775 0.021 0.0004 1--25 0.804 -0.008 0.0001 1--27 0.766 0.030 0.0009 1--29 0.757 0.039 0.0015 1--31 0.721 0.075 0.0056 2--13 0.867 -0.071 0.0050 2--15 0.876 -0.080 0.0064 2--17 0.843 -0.047 0.0022 2--19 0.837 -0.041 0.0017 2--21 0.827 -0.031 0.0010 2--23 0.817 -0.021 0.0004 2--25 0.779 0.017 0.0003 2--27 0.771 0.025 0.0006 2--29 0.762 0.034 0.0012 2--31 0.768 0.028 0.0008 3--13 0.861 -0.065 0.0042 3--15 0.849 -0.053 0.0028 3--17 0.830 -0.034 0.0012 3--19 0.823 -0.027 0.0007 3--21 0.811 -0.015 0.0002 3--23 0.788 0.008 0.0001 3--25 0.782 0.014 0.0002 3--27 0.735 0.061 0.0037 3--29 0.710 0.086 0.0074 3--31 0.740 0.056 0.0031 Ctb = 0.796 å = 0.0534 d = 0.043 v = 0.054 v = 0.054 < 0.15 2.3.2. Lôùp 3b: XAÙC ÑÒNH SAI SOÁ VAØ LOAÏI TRÖØ SAI SOÁ THOÂ soá hieäu maãu p=1 (kg/cm2) p=2 (kg/cm2) p=3 (kg/cm2) ti ttb-ti (ttb-ti)2 ti ttb-ti (ttb-ti)2 ti ttb-ti (ttb-ti)2 1--33 0.694 -0.0830 0.0069 1.105 0.0270 0.0007 1.6980 -0.0320 0.0010 1--35 0.614 -0.0030 0.0000 1.204 -0.0720 0.0052 1.7350 -0.0690 0.0048 1--37 0.627 -0.0160 0.0003 1.222 -0.0900 0.0081 1.8710 -0.2050 0.0420 1--39 0.534 0.0770 0.0059 0.802 0.3300 0.1089 1.0700 0.5960 0.3552 2--33 0.613 -0.0020 0.0000 1.196 -0.0640 0.0041 1.7800 -0.1140 0.0130 2--35 0.620 -0.0090 0.0001 1.209 -0.0770 0.0059 1.7980 -0.1320 0.0174 2--37 0.640 -0.0290 0.0008 1.247 -0.1150 0.0132 1.8530 -0.1870 0.0350 2--39 0.633 -0.0220 0.0005 1.234 -0.1020 0.0104 1.8350 -0.1690 0.0286 3--33 0.580 0.0310 0.0010 1.137 -0.0050 0.0000 1.6910 -0.0250 0.0006 3--35 0.607 0.0040 0.0000 1.185 -0.0530 0.0028 1.7610 -0.0950 0.0090 3--37 0.627 -0.0160 0.0003 1.222 -0.0900 0.0081 1.8170 -0.1510 0.0228 3--39 0.547 0.0640 0.0041 0.815 0.3170 0.1005 1.0830 0.5830 0.3399 0.611 0.0198 1.132 0.2680 1.666 0.8693 ttb = 0.611 ttb = 1.132 ttb = 1.666 S(ti-ttb)2=0.0198 S(ti-ttb)2=0.2680 S(ti-ttb)2=0.8693 stb=0.04 stb=0.149 stb=0.269 n = 12 Þ v = 2.52 n = 12 Þ v = 2.52 n = 12 Þ v = 2.52 v*stb = 0.1008 v*stb = 0.375 v*stb = 0.678 s= 0.002 s= 0.164 s= 0.295 v = d/ttb =0.003 <0.3 v = s/ttb = 0.145<0.3 v = s/ttb = 0.177<0.3 Nhaän Nhaän Nhaän THOÁNG KEÂ C , Soá hieäu maãu pi ti pi2 pi*ti ttb ttb−ti (ttb−ti)2 1--33 1 0.694 1 0.6940 0.6113 -0.0827 0.007 1--35 1 0.614 1 0.6140 0.6113 -0.0027 0.000 1--37 1 0.627 1 0.6270 0.6113 -0.0157 0.000 1--39 1 0.534 1 0.5340 0.6113 0.0773 0.006 2--33 1 0.613 1 0.6130 0.6113 -0.0017 0.000 2--35 1 0.620 1 0.6200 0.6113 -0.0087 0.000 2--37 1 0.640 1 0.6400 0.6113 -0.0287 0.001 2--39 1 0.633 1 0.6330 0.6113 -0.0217 0.000 3--33 1 0.580 1 0.5800 0.6113 0.0313 0.001 3--35 1 0.607 1 0.6070 0.6113 0.0043 0.000 3--37 1 0.627 1 0.6270 0.6113 -0.0157 0.000 3--39 1 0.547 1 0.5470 0.6113 0.0643 0.004 1--33 2 1.105 4 2.2100 1.1315 0.0265 0.001 1--35 2 1.204 4 2.4080 1.1315 -0.0725 0.005 1--37 2 1.222 4 2.4440 1.1315 -0.0905 0.008 1--39 2 0.802 4 1.6040 1.1315 0.3295 0.109 2--33 2 1.196 4 2.3920 1.1315 -0.0645 0.004 2--35 2 1.209 4 2.4180 1.1315 -0.0775 0.006 2--37 2 1.247 4 2.4940 1.1315 -0.1155 0.013 2--39 2 1.234 4 2.4680 1.1315 -0.1025 0.011 3--33 2 1.137 4 2.2740 1.1315 -0.0055 0.000 3--35 2 1.185 4 2.3700 1.1315 -0.0535 0.003 3--37 2 1.222 4 2.4440 1.1315 -0.0905 0.008 3--39 2 0.815 4 1.6300 1.1315 0.3165 0.100 1--33 3 1.6980 9 5.0940 1.7243 0.0263 0.001 1--35 3 1.7350 9 5.2050 1.6660 -0.0690 0.005 1--37 3 1.8710 9 5.6130 1.6660 -0.2050 0.042 1--39 3 1.0700 9 3.2100 1.6660 0.5960 0.355 2--33 3 1.7800 9 5.3400 1.6660 -0.1140 0.013 2--35 3 1.7980 9 5.3940 1.6660 -0.1320 0.017 2--37 3 1.8530 9 5.5590 1.6660 -0.1870 0.035 2--39 3 1.8350 9 5.5050 1.6660 -0.1690 0.029 3--33 3 1.6910 9 5.0730 1.6660 -0.0250 0.001 3--35 3 1.7610 9 5.2830 1.6660 -0.0950 0.009 3--37 3 1.8170 9 5.4510 1.6660 -0.1510 0.023 3--39 3 1.7830 9 5.3490 1.6660 -0.1170 0.014 å 72 41.606 168 96.5680 0.831 D tgjtc j ctc st sc vc tgj vtga 864 0.557 29o 0.043 0.0310 0.0137 0.320 0.006 0.011 Theo traïng thaùi giôùi haïn 2:a = 0.85 , n-1 = 35Þta = 1.05 rc = ta*c = 1.05*0.32 =0.336 kd(c) = 1/1-rc =1/1-0.336 = 1.506 r*tgj = 0.336*0.011= 0.004 kd(tgj) = 1/1-rtgj = 1/1-0.004 = 1.004 tgrII = tgtcj/kd(tgj)= 0.557/1.004 = 0.555Þ jII = 29o cII =ctc/kd (c) = 0.043/1.506 = 0.028 Theo traïng thaùi giôùi haïn 1:a = 0.95 , n-1 = 35 Þta = 1.7 rc = ta*c = 1.7*0.32 =0.544 kd(c) = 1/1-rc =1/1-0.455 = 2.193 r*tgj = 0.544*0.011 = 0.006 kd(tgj) = 1/1-rtgj = 1/1-0.006 =1.006 tgrI = tgtcj/kd = 0.557/1.006= 0.554 Þ jI = 29o cI =ctc/kd (c) = 0.043/2.139 = 0.02 DUNG TROÏNG ÖÔÙT Soá hieäu maãu gi(g/cm3) gtb -gi(g/cm3) (gtb -gi)2(g/cm3) 1--33 1.920 0.0220 0.0005 1--35 1.933 0.0090 0.0001 1--37 1.956 -0.0140 0.0002 1--39 1.933 0.0090 0.0001 2--33 1.940 0.0020 0.0000 2--35 1.947 -0.0050 0.0000 2--37 1.972 -0.0300 0.0009 2--39 1.967 -0.0250 0.0006 3--33 1.904 0.0380 0.0014 3--35 1.938 0.0040 0.0000 3--37 1.959 -0.0170 0.0003 3--39 1.932 0.0100 0.0001 stb = 0.018 n = 12 Þ v= 2.52 v*stb = 2.52*0.06 = 0.045 gtc = gtb = 1.94 S(ti-ttb)2=0.04 s = 0.019 v = 0.01 Theo traïng thaùi giôùi haïn 2:a = 0.85 , n-1 = 11Þta = 1.09 r = 0.003 kd(c) = 1/1-rc =1/1-0.003 = 1.003 gII = 1.94/1.003 = 1.93(g/cm2) Theo traïng thaùi giôùi haïn 1:a = 0.95 , n-1 = 11Þta = 1.8 r = 0.005 kd(c) = 1/1-rc =1/1-0.005 = 1.005 gI = 1.94/1.005 = 1.93 (g/cm2) DUNG TROÏNG KHOÂ Soá hieäu maãu gi(g/cm3) gtb -gi(g/cm3) (gtb -gi)2(g/cm3) 1--33 1.570 0.0200 0.0004 1--35 1.592 -0.0020 0.0000 1--37 1.622 -0.0320 0.0010 1--39 1.511 0.0790 0.0062 2--33 1.605 -0.0150 0.0002 2--35 1.613 -0.0230 0.0005 2--37 1.649 -0.0590 0.0035 2--39 1.642 -0.0520 0.0027 3--33 1.539 0.0510 0.0026 3--35 1.599 -0.0090 0.0001 3--37 1.630 -0.0400 0.0016 3--39 1.509 0.0810 0.0066 stb = 0.0046 n = 12 Þ v= 2.52 v*stb = 2.52*0.0046 = 0.012 gtc = gtb = 1.59 S(ti-ttb)2=0.0255 s = 0.048 v = 0.03 Theo traïng thaùi giôùi haïn 2:a = 0.85 , n-1 = 11Þta = 1.09 r = 0.009 kd(c) = 1/1-rc =1/1-0.009 = 1.009 gII = 1.59/1.009 = 1.57(g/cm2) Theo traïng thaùi giôùi haïn 1:a = 0.95 , n-1 = 11Þta = 1.8 r = 0.016 kd(c) = 1/1-rc =1/1-0.016 = 1.016 gI = 1.59/1.016= 1.56 (g/cm2) DUNG TROÏNG ÑAÅY NOÅI Soá hieäu maãu gi(g/cm3) gtb -gi(g/cm3) (gtb -gi)2(g/cm3) 1--33 0.981 0.0130 0.0002 1--35 0.994 0.0000 0.0000 1--37 1.013 -0.0190 0.0004 1--39 0.949 0.0450 0.0020 2--33 1.002 -0.0080 0.0001 2--35 1.007 -0.0130 0.0002 2--37 1.030 -0.0360 0.0013 2--39 1.025 -0.0310 0.0010 3--33 0.961 0.0330 0.0011 3--35 0.999 -0.0050 0.0000 3--37 1.018 -0.0240 0.0006 3--39 0.947 0.0470 0.0022 stb = 0.027 n = 12 Þ v= 2.52 v*stb = 2.52*0.06 = 0.068 gtc = gtb = 0.99 S(ti-ttb)2=0.0089 s = 0.03 v = 0.03 Theo traïng thaùi giôùi haïn 2:a = 0.85 , n-1 = 11Þta = 1.09 r = 0.009 kd(c) = 1/1-rc =1/1-0.009 = 1.009 gII = 0.99/1.009 = 0.98(g/cm2) Theo traïng thaùi giôùi haïn 1:a = 0.95 , n-1 = 11Þta = 1.8 r = 0.016 kd(c) = 1/1-rc =1/1-0.016 = 1.016 gI = 0.99/1.016 = 0.97 (g/cm2) HEÄ SOÁ ROÃNG Soá hieäu maãu Ci(%) Ci-Ctb (Ci-Ctb)2 1--33 0.697 -0.019 0.0004 1--35 0.673 0.005 0.0000 1--37 0.642 0.036 0.0013 1--39 0.778 -0.100 0.0100 2--33 0.659 0.019 0.0004 2--35 0.651 0.027 0.0007 2--37 0.614 0.064 0.0041 2--39 0.621 0.057 0.0032 3--33 0.731 -0.053 0.0028 3--35 0.665 0.013 0.0002 3--37 0.634 0.044 0.0019 3--39 0.781 -0.103 0.0106 Ctb = 0.678 å = 0.0356 d = 0.056 v = 0.053 v = 0.08 < 0.15 2.4. Lôùp 4: XAÙC ÑÒNH SAI SOÁ VAØ LOAÏI TRÖØ SAI SOÁ THOÂ Soá hieäu maãu p=1 (kg/cm2) p=2 (kg/cm2) p=3 (kg/cm2) ti ttb-ti (ttb-ti)2 ti ttb-ti (ttb-ti)2 ti ttb-ti (ttb-ti)2 1--41 0.539 0.0300 0.0009 0.8070 0.0340 0.0012 1.0750 0.0390 0.0015 1--43 0.562 0.0070 0.0000 0.8310 0.0100 0.0001 1.1050 0.0090 0.0001 1--45 0.580 -0.0110 0.0001 0.8410 0.0000 0.0000 1.1230 -0.0090 0.0001 1--47 0.574 -0.0050 0.0000 0.8540 -0.0130 0.0002 1.1260 -0.0120 0.0001 2--41 0.554 0.0150 0.0002 0.8260 0.0150 0.0002 1.0990 0.0150 0.0002 2--43 0.568 0.0010 0.0000 0.8400 0.0010 0.0000 1.1130 0.0010 0.0000 2--45 0.602 -0.0330 0.0011 0.8800 -0.0390 0.0015 1.1570 -0.0430 0.0018 2--47 0.576 -0.0070 0.0000 0.8480 -0.0070 0.0000 1.1210 -0.0070 0.0000 3--41 0.558 0.0110 0.0001 0.8300 0.0110 0.0001 1.1030 0.0110 0.0001 3--43 0.564 0.0050 0.0000 0.836 0.0050 0.0000 1.109 0.0050 0.0000 3--45 0.573 -0.0040 0.0000 0.845 -0.0040 0.0000 1.118 -0.0040 0.0000 3--47 0.580 -0.0110 0.0001 0.8520 -0.0110 0.0001 1.1250 -0.0110 0.0001 0.569 0.0027 0.8410 0.0035 1.1140 0.0042 ttb = 0.569 ttb = 0.841 ttb = 1.114 S(ti-ttb)2=0.0027 S(ti-ttb)2=0.0035 S(ti-ttb)2=0.0042 stb=0.015 stb=0.017 stb=0.018 n = 12 Þ v = 2.52 n = 12 Þ v = 2.52 n = 12 Þ v = 2.52 v*stb = 0.04 v*stb = 0.043 v*stb = 0.045 s= 0.016 s = 0.019 s = 0.02 v = d/ttb =0.028 <0.3 v = s/ttb = 0.023<0.3 v = s/ttb = 0.018<0.3 Nhaän Nhaän Nhaän XAÙC ÑÒNH C , STT pi ti pi2 pi*ti ttb ttb−ti (ttb−ti)2 1--41 1 0.539 1 0.539 0.5692 0.0302 0.0009 1--43 1 0.562 1 0.562 0.5692 0.0072 0.0001 1--45 1 0.580 1 0.58 0.5692 -0.0108 0.0001 1--47 1 0.574 1 0.574 0.5692 -0.0048 0.0000 2--41 1 0.554 1 0.554 0.5692 0.0152 0.0002 2--43 1 0.568 1 0.568 0.5692 0.0012 0.0000 2--45 1 0.602 1 0.602 0.5692 -0.0328 0.0011 2--47 1 0.576 1 0.576 0.5692 -0.0068 0.0000 3--41 1 0.558 1 0.558 0.5692 0.0112 0.0001 3--43 1 0.564 1 0.564 0.5692 0.0052 0.0000 3--45 1 0.573 1 0.573 0.5692 -0.0038 0.0000 3--47 1 0.580 1 0.58 0.5692 -0.0108 0.0001 1--41 2 0.8070 4 1.614 0.8408 0.0338 0.0011 1--43 2 0.8310 4 1.662 0.8408 0.0098 0.0001 1--45 2 0.8410 4 1.682 0.8408 -0.0002 0.0000 1--47 2 0.8540 4 1.708 0.8408 -0.0132 0.0002 2--41 2 0.8260 4 1.652 0.8408 0.0148 0.0002 2--43 2 0.8400 4 1.68 0.8408 0.0008 0.0000 2--45 2 0.8800 4 1.76 0.8408 -0.0392 0.0015 2--47 2 0.8480 4 1.696 0.8408 -0.0072 0.0001 3--41 2 0.8300 4 1.66 0.8408 0.0108 0.0001 3--43 2 0.836 4 1.672 0.8408 0.0048 0.0000 3--45 2 0.845 4 1.69 0.8408 -0.0042 0.0000 3--47 2 0.8520 4 1.704 0.8408 -0.0112 0.0001 1--41 3 1.0750 9 3.225 1.1145 0.0395 0.0016 1--43 3 1.1050 9 3.315 1.1145 0.0095 0.0001 1--45 3 1.1230 9 3.369 1.1145 -0.0085 0.0001 1--47 3 1.1260 9 3.378 1.1145 -0.0115 0.0001 2--41 3 1.0990 9 3.297 1.1145 0.0155 0.0002 2--43 3 1.1130 9 3.339 1.1145 0.0015 0.0000 2--45 3 1.1570 9 3.471 1.1145 -0.0425 0.0018 2--47 3 1.1210 9 3.363 1.1145 -0.0065 0.0000 3--41 3 1.1030 9 3.309 1.1145 0.0115 0.0001 3--43 3 1.109 9 3.327 1.1145 0.0055 0.0000 3--45 3 1.118 9 3.354 1.1145 -0.0035 0.0000 3--47 3 1.1250 9 3.375 1.1145 -0.0105 0.0001 å 72 30.2940 168 67.132 0.0105 D tgjtc j ctc st sc vc tgj vtga 864.00 0.27 15.25o 0.30 0.02 0.01 0.03 0.00 0.01 Theo traïng thaùi giôùi haïn 2:a = 0.85 , n-1 = 35 Þta = 1.05 rc = ta*c = 1.05*0.026 =0.027 kd(c) = 1/1-rc =1/1-0.027 = 1.027 r*tgj = 0.027*0.013= 0.0004 kd(tgj) = 1/1-rtgj = 1/1-0.0004 = 1.00 tgrII = tgtcj/kd(tgj)= 0.273/1 = 0.273Þ jII = 15o cII =ctc/kd (c) = 0.296/1.027 = 0.289 Theo traïng thaùi giôùi haïn 1:a = 0.95 , n-1 = 35 Þta = 1.7 rc = ta*c = 1.7*0.026 =0.044 kd(c) = 1/1-rc =1/1-0.044 = 1.046 r*tgj = 0.044*0.013 = 0.0006 kd(tgj) = 1/1-rtgj = 1/1-0.0006 = 1 tgrI = tgtcj/kd = 0.0.273/1= 0.273 Þ jI = 15o cI =ctc/kd (c) = 0.296/1.046 = 0.283 DUNG TROÏNG ÖÔÙT Soá hieäu maãu gi(g/cm3) gtb -gi(g/cm3) (gtb -gi)2(g/cm3) 1--41 1.930 0.0220 0.0005 1--43 1.925 0.0270 0.0007 1--45 1.942 0.0100 0.0001 1--47 1.960 -0.0080 0.0001 2--41 1.936 0.0160 0.0003 2--43 1.957 -0.0050 0.0000 2--45 1.980 -0.0280 0.0008 2--47 1.967 -0.0150 0.0002 3--41 1.938 0.0140 0.0002 3--43 1.956 -0.0040 0.0000 3--45 1.958 -0.0060 0.0000 3--47 1.969 -0.0170 0.0003 stb = 0.016 n = 12 Þ v= 2.52 v*stb = 2.52*0.016 = 0.04 gtb = 1.95 S(ti-ttb)2=0.003 s= 0.016 v = 0.008 Theo traïng thaùi giôùi haïn 2:a = 0.85 , n-1 =11Þta = 1.09 r = 0.003 kd(c) = 1/1-rc =1/1-0.003 = 1.003 gII = 1.95/1.003 = 1.94(g/cm2) Theo traïng thaùi giôùi haïn 1:a = 0.95 , n-1 =11Þta = 1.8 r = 0.004 kd(c) = 1/1-rc =1/1-0.004 = 1.004 gI = 1.95/1.004 = 1.94 (g/cm2) DUNG TROÏNG KHOÂ Soá hieäu maãu gi(g/cm3) gtb -gi(g/cm3) (gtb -gi)2(g/cm3) 1--41 1.504 0.0310 0.0010 1--43 1.497 0.0380 0.0014 1--45 1.522 0.0130 0.0002 1--47 1.551 -0.0160 0.0003 2--41 1.529 0.0060 0.0000 2--43 1.537 -0.0020 0.0000 2--45 1.570 -0.0350 0.0012 2--47 1.562 -0.0270 0.0007 3--41 1.506 0.0290 0.0008 3--43 1.535 0.0000 0.0000 3--45 1.543 -0.0080 0.0001 3--47 1.558 -0.0230 0.0005 stb = 0.023 n = 12 Þ v= 2.52 v*stb = 2.52*0.023 = 0.058 gtb = 1.54 S(ti-ttb)2=0.0063 s= 0.024 v = 0.016 Theo traïng thaùi giôùi haïn 2:a = 0.85 , n-1 =11Þta = 1.09 r = 0.005 kd(c) = 1/1-rc =1/1-0.005= 1.005 gII = 1.54/1.005 = 1.53(g/cm2) Theo traïng thaùi giôùi haïn 1:a = 0.95 , n-1 =11Þta = 1.8 r = 0.008 kd(c) = 1/1-rc =1/1-0.008 = 1.008 gI = 1.54/1.004 = 1.53 (g/cm2) DUNG TROÏNG ÑAÅY NOÅI Soá hieäu maãu gi(g/cm3) gtb -gi(g/cm3) (gtb -gi)2(g/cm3) 1--41 0.944 0.0200 0.0004 1--43 0.940 0.0240 0.0006 1--45 0.956 0.0080 0.0001 1--47 0.974 -0.0100 0.0001 2--41 0.960 0.0040 0.0000 2--43 0.965 -0.0010 0.0000 2--45 0.987 -0.0230 0.0005 2--47 0.981 -0.0170 0.0003 3--41 0.946 0.0180 0.0003 3--43 0.964 0.0000 0.0000 3--45 0.969 -0.0050 0.0000 3--47 0.979 -0.0150 0.0002 stb = 0.014 n = 12 Þ v= 2.52 v*stb = 2.52*0.014 = 0.035 gtb = 0.96 S(ti-ttb)2=0.0025 s= 0.015 v = 0.016 Theo traïng thaùi giôùi haïn 2:a = 0.85 , n-1 =11Þta = 1.09 r = 0.005 kd(c) = 1/1-rc =1/1-0.005 = 1.006 gII = 0.96/1.006 = 0.95(g/cm2) Theo traïng thaùi giôùi haïn 1:a = 0.95 , n-1 =11Þta = 1.8 r = 0.008 kd(c) = 1/1-rc =1/1-0.008= 1.008 gI = 0.96/1.008 = 0.95 (g/cm2) ÑOÄ SEÄT Soá hieäumaãu Bi Bi - Btb (Bi - Btb) 1--41 0.22 -0.0490 0.0024 1--43 0.2 -0.0290 0.0008 1--45 0.18 -0.0090 0.0001 1--47 0.15 0.0210 0.0004 2--41 0.19 -0.0190 0.0004 2--43 0.16 0.0110 0.0001 2--45 0.14 0.0310 0.0010 2--47 0.15 0.0210 0.0004 3--41 0.18 -0.0090 0.0001 3--43 0.17 0.0010 0.0000 3--45 0.16 0.0110 0.0001 3--47 0.15 0.0210 0.0004 Btb = 0.171 å = 0.0063 d = 0.024 v = 0.14 v = 0.14 < 0.3 HEÄ SOÁ ROÃNG Soá hieäumaãu Ci(%) Ci-Ctb (Ci-Ctb)2 1--41 0.787 -0.034 0.0012 1--43 0.795 -0.042 0.0018 1--45 0.766 -0.013 0.0002 1--47 0.734 0.019 0.0004 2--41 0.758 -0.005 0.0000 2--43 0.750 0.003 0.0000 2--45 0.715 0.038 0.0014 2--47 0.722 0.031 0.0010 3--41 0.785 -0.032 0.0010 3--43 0.752 0.001 0.0000 3--45 0.743 0.010 0.0001 3--47 0.727 0.026 0.0007 Ctb = 0.753 å = 0.0077 d = 0.026 v = 0.035 v = 0.035 < 0.15 2.5. Baûng toùm taét keát quaû xöû lyù thoáng keâ ñòa chaát: Lôùp Moâ taû ñaát Dung troïng (g/cm3) Heä soá roãnge Ñoä seät B Löïc dính c(KG/cm2) Goùc ma saùt trong jo öôùt khoâ ñaåy noåi 1 Seùt pha caùt traïng thaùi deõo meàm 1.9 1.54 0.79 0.735 0.52 0.12 14o 2 Seùt pha caùt traïng thaùi deõo cöùng 1.89 1.55 0.95 0.745 0.408 0.124 14o 3a caùt vöùa ñeán mòntraïng thaùi bôøi rôøi 1.87 1.47 0.92 0.796 0.023 27o 3b caùt vöùa ñeán mòntraïng thaùi chaët vöøa 1.93 1.57 0.98 0.678 0.028 29o 4 Seùt laân boät vaân caùt buïi traïng thaùi nöõa cöùng 1.94 1.53 0.95 0.753 0.171 0.289 15o 2.6. Phaân tích löa choïn phöông aùn moùng: Vôùi soá lieäu ñòa chaát ñöôïc thoáng keâ nhö treân, caùc phöông aùn moùng coù theå thieát keá ñöôïc laø moùng saâu: _ Moùng coïc ñoùng: khoâng duøng ñöôïc trong khu vöïa xaây chen _ Moùng coïc eùp BTCT _ Moùng coïc khoan nhoài BTCT 2.6.1 Moùng coïc eùp BTCT: Öu : Coù tính kieåm tra cao:deã daøng kieåm tra khi eùp, khe nöùt, ñoå beâtoâng coïc Khoâng gaây chaán ñoäng vaaâø tieáng oàn khi thi coâng Khuyeát : Khoù eùp coïc qua lôùp caùt, lôùp ñaát cöùng Löïc eùp bò giôùi haïn do söùc chòu taûi cuûa coïc Chieàu daøi coïc lôùn thì phaûi noái nhieàu ñoaïn 2.6.2. Moùng coïc khoan nhoài BTCT: Öu: Coù khaû naêng chòu taûi troïng lôùn Coù theå xuyeân qua caùc lôùp ñaát ñaù cöùng vì duøng khoan Khuyeát: Thi coâng phöùc taïp Khoâng kieåm tra chaát löôïng beâtoâng Heä soá ma saùt hoâng giöõa coïc vôùi ñaát keùm Noäi löïc töø keát quaû giaûi khung: Giaù trò tieâu chuaån = giaù trò tính toaùn / 1.15 Moùng truïc A – 3 Ntt = 357.11 ( T ) Ntc= 310.53 ( T ) Qtt = 10.83 ( T ) Qtc = 9.42 ( T ) Mtt = 19.45 ( Tm ) Mtc= 16.91 ( Tm ) Moùng truïc B – 3 Ntt = 660.17 ( T ) Ntc = 574.06 ( T ) Qtt = 13.51 ( T ) Qtc= 11.75 ( T ) Mtt = 34.59 ( Tm ) Mtc = 30.08 ( Tm )