Post on 15-Jan-2016
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UNIVERSITATEA TEHNICA DE CONSTUCTII BUCURESTI
FACULTATEA DE GEODEZIE
Geodezie Fizica 2:Lucrarea 1:
Determinarea diferentelor de gravitate (ɗ gij) intr-o retea gravimetrica
IRIMIA MADALINA Anul IV ,Grupa 3
An universitar 2012-2013
Tema lucrarii: Intr-o retea gravimetrica alcatuita din 6 puncte materializate in teren s-au realizat determinari gravimetrice cu ajutorul unui gravimetru relativ de tip La Coste & Romberg (Scintrex). In urma efectuarii masuratorilor au rezultat lecturile mediate in diviziuni Li``(div). Pentru momentul observatiilor se poate determina valoarea corectiei de variatie diurna CVD (ΔgVD) avand in vedere ca masuratorile s-au realizat in data de 3 iunie 2010, intre orele 7-11 si ca se cunosc valorile erorilor de variatie diurna (eVD) exprimate in µgal (date din ora in ora pentru ziua in care s-au efectuat masuratorile) . Se cunoaste constanta de scara a intrumentului utilizat k, valabila pentru intervalul de diviziuni cuprins intre 3900-4100 div. Se presupune ca asupra lecturilor efectuate au fost deja aplicate corectiile fizice (de presiune si de temperatura).Se cere:
I. Sa se determine diferentele de gravitate ɗ 0gij intre punctele masurate prin metoda grafica;
II. Sa se determine diferentele de gravitate ɗ0gij intre punctele masurate prin metoda analitica;
III. Sa se realizeze o comparatie intre rezultatele obtinute intre cele 2 metode (tabel comparativ);Se vor prezenta si preciziile de determinare.
Etape de calcul:
I.1. Calculul lecturilor corectate tinand cont de constanta de scara a instrumentului;L`=L``*K
L``=L``+(-1)N*L``/1000NN=12- numarul de ordine;
k ∈ [3900, 4000)= 0.99244 mgal/divk ∈ [4000, 4100)= 0.99254 mgal/divk ∈ [4100, 4200)= 0.99261 mgal/div
k=Δ gABΔLAB
mgal/div
Nr. mas.
Operator Pilastru Timp [h]
Lectura in div. L``
Const. scara K (mgal/div)
Lectura in mgal L`=L``*K
1 1 4 7.21 4080.7655
0.992540 4050.3230
2 1 5 7.43 4080.8071
0.992540 4050.3643
3 2 5 7.47 4080.7990
0.992540 4050.3563
4 1 6 8.03 4080.5507
0.992540 4050.1098
5 2 6 8.07 4080.5391
0.992540 4050.0983
6 1 3 8.17 4080.3899
0.992540 4049.9502
7 2 3 8.21 4080.3398
0.992540 4049.9005
8 1 2 8.31 4080.5227
0.992540 4050.0820
9 2 2 8.35 4080.5182
0.992540 4050.0775
10 1 1 8.45 4080.7680
0.992540 4050.3255
11 2 1 8.48 4080.7594
0.992540 4050.3170
12 2 4 9.02 4080.7425
0.992540 4050.3002
13 1 4 9.04 4080.7479
0.992540 4050.3056
14 1 5 9.11 4080.7941
0.992540 4050.3514
15 2 5 9.15 4080.8000
0.992540 4050.3573
16 1 6 9.23 4080.5366
0.992540 4050.0958
17 2 6 9.26 4080.531 0.992540 4050.0905
2
18 1 3 9.34 4080.3469
0.992540 4049.9075
19 2 3 9.37 4080.3333
0.992540 4049.8940
20 1 2 9.53 4080.5241
0.992540 4050.0834
21 2 2 9.56 4080.5292
0.992540 4050.0885
22 1 1 10.04 4080.7831
0.992540 4050.3405
23 2 1 10.06 4080.7705
0.992540 4050.3280
24 2 4 10.19 4080.7580
0.992540 4050.3156
I.2 Calculul corectiei de variatie diurna;cVD=-eVD, [cVD]-µgalSe interpoleaza valorile in tabel pentru erorile de variatie diurna in functie de ora in care s-au realizat
masuratorile. Schimbam semnul si rezulta corectia de variatie diurna in µgali.Eroarea de variatie diurna reprezinta influenta fenomenului de maree terestra care se transpune in varatia
absoluta si relativa a gravitatii in functie de timp pentru acelasi punct sau aceeasi zona de pe suprafata terestra.
Eroarea de variatie diurna 03.06.2010Ora eVD [µgal] Ora eVD [µgal] cVD [µgal]
0 64.2 7.21 -64.7 64.71 67.4 7.43 -67.8 67.82 60.2 7.47 -68.4 68.43 42.3 8.03 -70.0 70.04 16.1 8.07 -69.7 69.75 -13.8 8.17 -68.9 68.96 -41.6 8.21 -68.6 68.67 -61.7 8.31 -67.8 67.88 -70.2 8.35 -67.5 67.59 -65.5 8.45 -66.7 66.7
10 -49.1 8.48 -66.4 66.411 -24.8 9.02 -65.0 65.012 2.1 9.04 -64.4 64.413 26.2 9.11 -62.5 62.514 43.4 9.15 -61.4 61.415 51.4 9.23 -59.2 59.2
16 50.7 9.26 -58.4 58.417 43.5 9.34 -56.2 56.218 33.9 9.37 -55.4 55.419 26.0 9.53 -51.0 51.020 23.2 9.56 -50.2 50.221 27.1 10.04 -47.5 47.522 36.9 10.06 -46.7 46.723 50.0 10.19 -41.4 41.4
I.3. Determinarea lecturilor corectate;L[mgal]=L`[mgal]+cVD*1/1000 [µgal]
Nr. mas.
Operator
Pilastru Timp
Lectura in div. L``
Const. scara K (mgal/div)
Lectura in mgal L`=L``*K
cVD [µgal]
Lectura corectata L
(mgal)
1 1 4 7.21 4080.7655
0.992540 4050.3230 64.7 4050.3877
2 1 5 7.43 4080.8071
0.992540 4050.3643 67.8 4050.4321
3 2 5 7.47 4080.7990
0.992540 4050.3563 68.4 4050.4246
4 1 6 8.03 4080.5507
0.992540 4050.1098 70.0 4050.1798
5 2 6 8.07 4080.5391
0.992540 4050.0983 69.7 4050.1679
6 1 3 8.17 4080.3899
0.992540 4049.9502 68.9 4050.0191
7 2 3 8.21 4080.3398
0.992540 4049.9005 68.6 4049.9690
8 1 2 8.31 4080.5227
0.992540 4050.0820 67.8 4050.1498
9 2 2 8.35 4080.5182
0.992540 4050.0775 67.5 4050.1450
10 1 1 8.45 4080.7680
0.992540 4050.3255 66.7 4050.3922
11 2 1 8.48 4080.7594
0.992540 4050.3170 66.4 4050.3834
12 2 4 9.02 4080.7425
0.992540 4050.3002 65.0 4050.3651
13 1 4 9.04 4080.7479
0.992540 4050.3056 64.4 4050.3700
14 1 5 9.11 4080.7941
0.992540 4050.3514 62.5 4050.4139
15 2 5 9.15 4080.8000
0.992540 4050.3573 61.4 4050.4187
16 1 6 9.23 4080.5366
0.992540 4050.0958 59.2 4050.1550
17 2 6 9.26 4080.5312
0.992540 4050.0905 58.4 4050.1488
18 1 3 9.34 4080.3469
0.992540 4049.9075 56.2 4049.9637
19 2 3 9.37 4080.3333
0.992540 4049.8940 55.4 4049.9494
20 1 2 9.53 4080.5241
0.992540 4050.0834 51.0 4050.1344
21 2 2 9.56 4080.5292
0.992540 4050.0885 50.2 4050.1387
22 1 1 10.04
4080.7831
0.992540 4050.3405 47.5 4050.3880
23 2 1 10.06
4080.7705
0.992540 4050.3280 46.7 4050.3747
24 2 4 10.19
4080.7580
0.992540 4050.3156 41.4 4050.3570
Pentru realizarea graficului se alege pentru fiecare din cei 6 pilastri cate o valoare de referinta Oi fata de care se calculeaza prin diferenta valorile Li’ cu care se merge pe grafic.
I.4. Determinarea diferentelor de gravitate ɗ0gij intre punctele masurate prin metoda grafica;
Diferentele de gravitate se calculeaza astfel:g0
ij=( Oj- Oi)+(nij(1)+nij
(2))/2000
Punct Originea Latura nij (1) [µgal]
nij (2) [µgal]
Media [µgal] δgij [mgal]
4 4050.3 45 -52 -47.2 -49.6 δg45 0.0504
5 4050.4 56 44.6 37.5 41.05 δg56 -0.2590
6 4050.1 63 4.5 5.6 5.05 δg63 -0.1949
3 4049.9 32 -21.6 -21.7 -21.65 δg32 0.1783
2 4050.1 21 43.4 51.3 47.35 δg21 0.2474
1 4050.3 14 -42.1 16.6 -12.75 δg14 -0.0128
II.Sa se determine diferentele de gravitate ɗ0gij intre punctele masurate prin metoda analitica;
Mi0+vi=x0k+tioy ,unde:
Mi0-lectura efectuata intr-un punct de statie ti-momentul efectuarii acestei lecturi t0-moment de timp de referinta (7h) tio=ti-t0
x0k-valoarea cea mai probabila a lecturii efectuate intr-un punct k
y-eroarea de drift instrumental i-nr lecturii efectuate intr-un punct,i=1..n vi-corectia care se aplica lecturii Mi0
x0k=( x0
k)*+dxk
Valorile provizorii se determina prin medierea celor 4 lecturi din fiecare din cele 6 puncte de statie:
Valori provizorii [mgal]x0
1= 4050.3846x0
2= 4050.1420x0
3= 4049.9753x0
4= 4050.3699x0
5= 4050.4223x0
6= 4050.1629
Eroarea de drift instrumental - deplasare, translatie a lecturilor care se datoreaza imbatranirii sistemului elastic al unui gravimetru. Se asimileaza aceasta eroare cu panta dreptei de regresie sau a familiei de drepte
Nr dx4 dx5 dx6 dx3 dx2 dx1 Δt lik [µgal]
1 1 0 0 0 0 0 0.35 -17.752 0 1 0 0 0 0 0.72 -9.783 0 1 0 0 0 0 0.78 -2.314 0 0 1 0 0 0 1.05 -16.88
5 0 0 1 0 0 0 1.12 -5.05
6 0 0 0 1 0 0 1.28 -43.76
7 0 0 0 1 0 0 1.35 6.28
8 0 0 0 0 1 0 1.52 -7.82
9 0 0 0 0 1 0 1.58 -3.0410 0 0 0 0 0 1 1.75 -7.6311 0 0 0 0 0 1 1.80 1.1512 1 0 0 0 0 0 2.03 4.8013 1 0 0 0 0 0 2.07 -0.0114 0 1 0 0 0 0 2.18 8.4215 0 1 0 0 0 0 2.25 3.6616 0 0 1 0 0 0 2.38 7.8717 0 0 1 0 0 0 2.43 14.0518 0 0 0 1 0 0 2.57 11.5819 0 0 0 1 0 0 2.62 25.9020 0 0 0 0 1 0 2.88 7.5521 0 0 0 0 1 0 2.93 3.3122 0 0 0 0 0 1 3.07 -3.4223 0 0 0 0 0 1 3.10 9.9024 1 0 0 0 0 0 3.32 12.96
0.00Ecuatia de corectie se scrie astfel:
vi= dxk+tioy+lik
lik=( x0k)*- Mi0
Verificare: [lik]=0Matriceal se scrie sub forma:
V(24,1)=A(24,7)X(7,1)+L(24,1)
N=ATPA ,unde P=I24
X=-N-1ATPL A-matricea coeficientilor parametrilor necunoscuti; N-matricea sistemului normal; P-matricea ponderilor; L-matricea termenului liber; X-matricea parametrilor necunoscuti.
A
1 0 0 0 0 0 0.35
L [µgal]
-17.75
0 1 0 0 0 0 0.72 -9.78
0 1 0 0 0 0 0.78 -2.31
0 0 1 0 0 0 1.05 -16.88
0 0 1 0 0 0 1.12 -5.05
0 0 0 1 0 0 1.28 -43.76
0 0 0 1 0 0 1.35 6.28
0 0 0 0 1 0 1.52 -7.82
0 0 0 0 1 0 1.58 -3.04
0 0 0 0 0 1 1.75 -7.63
0 0 0 0 0 1 1.80 1.15
1 0 0 0 0 0 2.03 4.80
1 0 0 0 0 0 2.07 -0.01
0 1 0 0 0 0 2.18 8.42
0 1 0 0 0 0 2.25 3.66
0 0 1 0 0 0 2.38 7.87
0 0 1 0 0 0 2.43 14.05
0 0 0 1 0 0 2.57 11.58
0 0 0 1 0 0 2.62 25.90
0 0 0 0 1 0 2.88 7.55
0 0 0 0 1 0 2.93 3.31
0 0 0 0 0 1 3.07 -3.42
0 0 0 0 0 1 3.10 9.90
1 0 0 0 0 0 3.32 12.96
N
4 0 0 0 0 0 7.7670 4 0 0 0 0 5.9330 0 4 0 0 0 6.9830 0 0 4 0 0 7.8170 0 0 0 4 0 8.9170 0 0 0 0 4 9.717
7.767 5.933 6.983 7.817 8.917 9.717 108.382
4 5 6 3 2 1 Y
N¯¹
0.5282 0.2125 0.2501 0.2799 0.3193 0.3480 -0.1433 40.2125 0.4123 0.1911 0.2139 0.2440 0.2658 -0.1094 50.2501 0.1911 0.4749 0.2517 0.2871 0.3129 -0.1288 60.2799 0.2139 0.2517 0.5317 0.3214 0.3502 -0.1442 30.3193 0.2440 0.2871 0.3214 0.6166 0.3995 -0.1645 2
0.3480 0.2658 0.3129 0.3502 0.3995 0.6854 -0.1792 1
-0.1433 -0.1094 -0.1288 -0.1442 -0.1645 -0.1792 0.0738 Y
X [µgal]
23.99x04
Valori provizorii [mgal]
Corectii[mgal]
Valori compensate[mgal]
18.33 x05 x01= 4050.3846 0.0300 4050.4146
21.57 x06 x02= 4050.1420 0.0275 4050.1695
24.14 x03 x03= 4049.9753 0.0241 4049.9994
27.54 x02 x04= 4050.3699 0.0240 4050.3939
30.01 x01 x05= 4050.4223 0.0183 4050.4407
-12.36 [µgal]/h y
x06= 4050.1629 0.0216 4050.1845
V [µgal]
1.91-0.316.34-8.282.73
-35.4713.750.984.940.778.923.67-1.56-0.23-5.810.00
5.56
4.01
17.72
-0.53
-5.39
-11.30
1.61-4.03
δg45= 0.0467 [VV] 2259.177δg56= -0.2562 n 24δg63= -0.1850 [mgal] h 7δg32= 0.1701 So [µgal] 11.53δg21= 0.2451 Svi [µgal] 9.70δg14= -0.0206
Ab st. a unitatii de pondere (s0)
[µgal]
Ab st. a unei mas. comp. [µgal] Sδij [µgal]
11.53
sx1= 9.54 Sδg45 8.277
sx2= 9.05 Sδg56 8.193
sx3= 8.41 Sδg63 8.178
sx4= 8.38 Sδg32 8.197
sx5= 7.40 Sδg21 8.175sx6= 7.94 Sδg14 8.293sy= 3.13
Valorile relative ale gravitatii s-au calculat cu formulele: g0
45=x05-x0
4 g056=x0
6-x05
g063=x0
3-x06 g0
32=x02-x0
3
g021=x0
1-x02 g0
14=x04-x0
1
Calculul preciziiloro Abaterea standard (eroarea medie patratica) a unitatii de pondere
s0=±√ [vv ]m−n
=±√V T ·Vm−nm-nr de masuratori (24)n-nr de necunoscute (7)
s0=11.53 [gal]o Erorile de determinare a diferentelor de gravitate
Sδij= s0√Qxixi+Q xjxj−2Q xixj
Pentru a elimina masuratorile gresite se face testul Pope (de determinare a masuratorilor eronate)svi-abaterea standard a unei corectii
svi=√ n−hn s0√ pi
=9.70 [gal]
Se calculeaza pentru cele 24 masuratori |visvi| si se compara cu valoarea cn,n-h=2.785, unde n-nr de masuratori, h- nr
de necunoscute.
Daca |v isvi|< cn,n-h,atunci masuratorile sunt bune, iar in caz contrar avem masuratori gresite care trebuie inlaturate.
In cazul nostru masuratoarea cu nr 6 este gresita si astfel trebuie eliminata reluandu-se compensarea.
Reluarea calculelor eliminand masuratoarea 6.
Nr dx4 dx5 dx6 dx3 dx2 dx1 Δt lik [µgal] vi [µgal] Nr. vi/svi c
1 1 0 0 0 0 0 0.35 -17.75 1.91 4 0.20
2.785
DA
2 0 1 0 0 0 0 0.72 -9.78 -0.31 5 -0.03 DA
3 0 1 0 0 0 0 0.78 -2.31 6.34 5 0.65 DA
4 0 0 1 0 0 0 1.05 -16.88 -8.28 6 -0.85 DA
5 0 0 1 0 0 0 1.12 -5.05 2.73 6 0.28 DA
6 0 0 0 1 0 0 1.28 -43.76 -35.47 3 -3.66 NU
7 0 0 0 1 0 0 1.35 6.28 13.75 3 1.42 DA
8 0 0 0 0 1 0 1.52 -7.82 0.98 2 0.10 DA
9 0 0 0 0 1 0 1.58 -3.04 4.94 2 0.51 DA
10 0 0 0 0 0 1 1.75 -7.63 0.77 1 0.08 DA
11 0 0 0 0 0 1 1.80 1.15 8.92 1 0.92 DA
12 1 0 0 0 0 0 2.03 4.80 3.67 4 0.38 DA
13 1 0 0 0 0 0 2.07 -0.01 -1.56 4 -0.16 DA
14 0 1 0 0 0 0 2.18 8.42 -0.23 5 -0.02 DA
15 0 1 0 0 0 0 2.25 3.66 -5.81 5 -0.60 DA
16 0 0 1 0 0 0 2.38 7.87 0.00 6 0.00 DA
17 0 0 1 0 0 0 2.43 14.05 5.56 6 0.57 DA
18 0 0 0 1 0 0 2.57 11.58 4.01 3 0.41 DA
19 0 0 0 1 0 0 2.62 25.90 17.72 3 1.83 DA
20 0 0 0 0 1 0 2.88 7.55 -0.53 2 -0.05 DA
21 0 0 0 0 1 0 2.93 3.31 -5.39 2 -0.56 DA
22 0 0 0 0 0 1 3.07 -3.42 -11.30 1 -1.16 DA
23 0 0 0 0 0 1 3.10 9.90 1.61 1 0.17 DA
24 1 0 0 0 0 0 3.32 12.96 -4.03 4 -0.41 DA
Nr dx4 dx5 dx6 dx3 dx2 dx1 Δtlik
[µgal]1 1 0 0 0 0 0 0.35 -17.752 0 1 0 0 0 0 0.72 -9.783 0 1 0 0 0 0 0.78 -2.314 0 0 1 0 0 0 1.05 -16.885 0 0 1 0 0 0 1.12 -5.056 0 0 0 1 0 0 1.35 6.287 0 0 0 0 1 0 1.52 -7.828 0 0 0 0 1 0 1.58 -3.049 0 0 0 0 0 1 1.75 -7.63
10 0 0 0 0 0 1 1.80 1.1511 1 0 0 0 0 0 2.03 4.8012 1 0 0 0 0 0 2.07 -0.0113 0 1 0 0 0 0 2.18 8.4214 0 1 0 0 0 0 2.25 3.6615 0 0 1 0 0 0 2.38 7.8716 0 0 1 0 0 0 2.43 14.0517 0 0 0 1 0 0 2.57 11.5818 0 0 0 1 0 0 2.62 25.9019 0 0 0 0 1 0 2.88 7.5520 0 0 0 0 1 0 2.93 3.3121 0 0 0 0 0 1 3.07 -3.4222 0 0 0 0 0 1 3.10 9.9023 1 0 0 0 0 0 3.32 12.96
Valori provizorii [mgal]
x0
1=4050.384
6x
02=
4050.1420
x0
3=4049.960
7x
04=
4050.3699
x0
5=4050.422
3x
06=
4050.1629
A
1 0 0 0 0 0 0.35
L [µgal]
-17.75
0 1 0 0 0 0 0.72
-9.78
0 1 0 0 0 0 0.78
-2.31
0 0 1 0 0 0 1.05
-16.88
0 0 1 0 0 0 1.12
-5.05
0 0 0 1 0 0 1.35
6.28
0 0 0 0 1 0 1.52
-7.82
0 0 0 0 1 0 1.58
-3.04
0 0 0 0 0 1 1.75
-7.63
0 0 0 0 0 1 1.80
1.15
1 0 0 0 0 0 2.03
4.80
1 0 0 0 0 0 2.07
-0.01
0 1 0 0 0 0 2.18
8.42
0 1 0 0 0 0 2.25
3.66
0 0 1 0 0 0 2.38
7.87
0 0 1 0 0 0 2.43
14.05
0 0 0 1 0 0 2.57
11.58
0 0 0 1 0 0 2.62
25.90
0 0 0 0 1 0 2.88
7.55
0 0 0 0 1 0 2.93
3.31
0 0 0 0 0 1 3.07
-3.42
0 0 0 0 0 1 3.10
9.90
1 0 0 0 0 0 3.32
12.96
N
4 0 0 0 0 0 7.770 4 0 0 0 0 5.930 0 4 0 0 0 6.980 0 0 3 0 0 6.530 0 0 0 4 0 8.920 0 0 0 0 4 9.72
7.77 5.93 6.98 6.53 8.92 9.72 106.74
4 5 6 3 2 1 Y
N¯¹
0.5410 0.2223 0.2617 0.3264 0.3341 0.3641 -0.1499 40.2223 0.4199 0.1999 0.2494 0.2553 0.2782 -0.1145 50.2617 0.1999 0.4853 0.2935 0.3004 0.3274 -0.1348 60.3264 0.2494 0.2935 0.6995 0.3748 0.4084 -0.1681 30.3341 0.2553 0.3004 0.3748 0.6336 0.4180 -0.1721 20.3641 0.2782 0.3274 0.4084 0.4180 0.7055 -0.1875 1-0.1499 -0.1145 -0.1348 -0.1681 -0.1721 -0.1875 0.0772 Y
X [µgal]
19.23 x04
Valori provizorii [mgal]
Corectii [mgal]
Valori compensate [mgal]
14.69 x05
x01= 4050.3846 0.0241 4050.4086
17.29 x06
x02= 4050.1420 0.0221 4050.1641
6.99 x03 x03= 4049.9607 0.0070 4049.9677
22.08 x02
x04= 4050.3699 0.0192 4050.3892
24.06 x01
x05= 4050.4223 0.0146 4050.4370
-9.91 [µgal/h]
x06= 4050.1629 0.0173 4050.1802
δg45= 0.0478
[mgal]
[VV] 503.523 V
[µgal]
-1.98-2.18
4.63
-9.98
1.18
-0.11
-0.76
3.36
-0.907.383.89-1.251.49-3.931.567.24-6.866.971.07-3.67-9.733.25-0.66
δg56= -0.2568 [mgal] n 23δg63= -0.2125 [mgal] h 7δg32= 0.1964 [mgal] So [µgal] 5.610δg21= 0.2446 [mgal] Svi [µgal] 4.679δg14= -0.0194 [mgal]
Ab st. a unitatii de
pondere (s0) [µgal]
Ab st. a unei mas. compensate
[µgal] Sδij [µgal]
5.61
sx1= 4.71 Sδg45 4.031sx2= 4.47 Sδg56 3.988sx3= 4.69 Sδg63 4.337sx4= 4.13 Sδg32 4.285sx5= 3.63 Sδg21 3.979sx6= 3.91 Sδg14 4.039
sy= 1.56
Aplicand din nou testul Pope se poate observa ca toate masuratorile sunt in regula
Nr dx4 dx5 dx6 dx3 dx2 dx1 Δt lik
[µgal]vi
[µgal] Nr. vi/svi c
1 1 0 0 0 0 0 0.35 -17.75 -1.98 4 -0.424
2.755
DA
2 0 1 0 0 0 0 0.72 -9.78 -2.18 5 -0.467 DA
3 0 1 0 0 0 0 0.78 -2.31 4.63 5 0.989 DA
4 0 0 1 0 0 0 1.05 -16.88 -9.98 6 -2.134 DA
5 0 0 1 0 0 0 1.12 -5.05 1.18 6 0.253 DA
6 0 0 0 1 0 0 1.35 6.28 -0.11 3 -0.023 DA
7 0 0 0 0 1 0 1.52 -7.82 -0.76 2 -0.163 DA
8 0 0 0 0 1 0 1.58 -3.04 3.36 2 0.718 DA
9 0 0 0 0 0 1 1.75 -7.63 -0.90 1 -0.192 DA
10 0 0 0 0 0 1 1.80 1.15 7.38 1 1.577 DA
11 1 0 0 0 0 0 2.03 4.80 3.89 4 0.832 DA
12 1 0 0 0 0 0 2.07 -0.01 -1.25 4 -0.267 DA
13 0 1 0 0 0 0 2.18 8.42 1.49 5 0.318 DA
14 0 1 0 0 0 0 2.25 3.66 -3.93 5 -0.841 DA
15 0 0 1 0 0 0 2.38 7.87 1.56 6 0.333 DA
16 0 0 1 0 0 0 2.43 14.05 7.24 6 1.548 DA
17 0 0 0 1 0 0 2.57 11.58 -6.86 3 -1.466 DA
18 0 0 0 1 0 0 2.62 25.90 6.97 3 1.489 DA
19 0 0 0 0 1 0 2.88 7.55 1.07 2 0.229 DA
20 0 0 0 0 1 0 2.93 3.31 -3.67 2 -0.784 DA
21 0 0 0 0 0 1 3.07 -3.42 -9.73 1 -2.080 DA
22 0 0 0 0 0 1 3.10 9.90 3.25 1 0.695 DA
23 1 0 0 0 0 0 3.32 12.96 -0.66 4 -0.140 DA
IV. Realizarea unei comparatii intre rezultatele obtinute intre cele 2 metode (tabel comparativ);
δgij δgij grafic
δgij analitic 1 [mgal] δgij analitic 2 [mgal] Sδgij 1 [µgal]
Sδgij 2 [µgal] Δ [mgal]
δg45 0.0504 0.0467 0.0478 8.277 4.031 0.0026δg56 -0.25895 -0.2562 -0.2568 8.193 3.988 -0.0021δg63 -0.19495 -0.1850 -0.2125 8.178 4.337 0.0175δg32 0.17835 0.1701 0.1964 8.197 4.285 -0.0180δg21 0.24735 0.2451 0.2446 8.175 3.979 0.0028δg14 -0.01275 -0.0206 -0.0194 8.293 4.039 0.0067
Datorita eventualelor pante ale dreptelor de regresie reprezentate, se obtin valori relative ale gravitatii mai putin precise decat in urma folosirii metodei analitice (in special in urma compensarii efectuate dupa eliminarea masuratorii eronate).