MTBE's spredning i grundvand Bilag 5
|
A Slugtests |
B Pumpetest |
C Kornkurver |
D Sammenstilling af data |
De tilsatte vandmængder er angivet i nedenstående tabel:
Boring (filter) |
Tilsat vandmængde (liter) |
Boring (filter) |
Tilsat vandmængde (liter) |
B1 |
13,28 |
B6 |
12,78 |
B2-1 |
13,48 |
B7-1 |
14,04 |
B2-2 |
13,57 |
B7-2 |
12,36 |
B3 |
13,39 |
B8 |
11,85 |
B4 |
13,21 |
B9 |
11,76 |
B5 |
13,21 |
|
|
Hvorslevs løsningsmetode forudsætter at magasinets horisontale og vertikale udstrækning
er uendelig, hvorfor magasindybden ikke får betydning i beregningerne. Benyttes
Bouwer-Rice's løsningsmetode ses det, at den hydrauliske ledningsevne varierer med den
angivne magasindybde. Som udgangspunkt er angivet en magasindybde på 3 meter for at
simulere en primært horisontal strømning. Som alternativ er ledningsevnen også beregnet
for en magasintykkelse på 7 meter, og det ses at ledningsevnen falder med stigende
magasindybde. Det vurderes, at en magasintykkelse på 3 m bedst svarer til den aktuelle
afledningshorisont for det tilførte vand.
De beregnede ledningsevner varierer mellem de to metoder, men der ses ingen tendens i, at den ene metode beregner højere værdier end den anden. Jo mere entydige dataene er, jo tættere ligger værdierne for de to metoder. Nedenfor ses de beregnede ledningsevner beregnet ud fra de to metoder for de to omtalte magasintykkelser.
Boring |
Løsning |
||
Hvorslev |
Bouwer-Rice |
||
B1 |
D=4m |
5.553x10-5 |
4.464 x 10-5 |
D=15m |
- |
3.913 x 10-5 |
|
B2,2 |
D=3m |
3.309 x 10-4 |
2.299 x 10-4 |
D=7m |
- |
2.218 x 10-4 |
|
B2,1 |
D=3m |
3.531 x 10-4 |
3.757 x 10-4 |
D=7m |
- |
3.089 x 10-4 |
|
B3 |
D=3m |
7.817 x 10-5 |
7.67 x 10-5 |
D=7m |
- |
5.99 x 10-5 |
|
B4 |
D=3m |
3.075 x 10-5 |
3.053 x 10-5 |
D=3m |
6.528 x 10-5 * |
|
|
D=7m |
- |
2.88 x 10-5 |
|
B5 |
D=3m |
1.361 x 10-4 |
1.361 x 10-4 |
D=3m |
2.031 x 10-4 * |
|
|
D=7m |
- |
1.477 x 10-4 |
|
B6 |
D=3m |
5.628 x 10-6 |
5.628 x 10-6 |
D=3m |
2.324 x 10-5 * |
|
|
D=7m |
- |
4.359 x 10-6 |
|
B7,2 |
D=3m |
1.508 x 10-5 |
1.508 x 10-5 |
D=7m |
- |
1.205 x 10-5 |
|
B7,1 |
D=3m |
2.14 x 10-5 |
2.503 x 10-5 |
D=7m |
- |
2.503 x 10-5 |
|
B8 |
D=3m |
7.558 x 10-5 |
7.558 x 10-5 |
D=7m |
- |
7.321 x 10-5 |
|
B9 |
D=3m |
9,14 x 10-4 |
9.464 x 10-4 |
D=7m |
- |
7.549 x 10-4 |
*Alternativ tilpasning på et tidligt tidspunkt på kurven.
En alternativ løsning er medtaget, i de tilfælde hvor kurven har et "knæk", og der tydeligt er to hældninger på kurven. De alternative løsninger repræsenterer alle et tidligt tidspunkt i forsøgene, og som det ses har de en højere hydraulisk ledningsevne. De alternative ledningsevner kunne skyldes en hurtigere udsivning gennem gruskastningen omkring boringerne.
Se her!Slugtest
Well test analysis | |
Data Set: I:\SAG\01\713.00\AQT\b1.aqt |
|
Date: 10/05/01 |
Time: 13:36:43 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 4. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B1) |
|
Initial Displacement: 7.35 m |
Water Column Height: 3.15 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Hvorslev |
Well test analysis | |
Data Set: I:\SAG\01\713.00\AQT\b1bouwer.aqt |
|
Date: 10/05/01 |
Time: 13:37:18 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 4. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B1) |
|
Initial Displacement: 7.35 m |
Water Column Height: 3.15 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Bouwer-Rice |
Well test analysis | |
Data Set: I:\SAG\01\713.00\AQT\b2,2_hvorslev.aqt |
|
Date: 10/05/01 |
Time: 14:00:35 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 3. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B2,2) |
|
Initial Displacement: 7.56 m |
Water Column Height: 1.94 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Hvorslev |
B2,2 | |
Data Set: I:\SAG\01\713.00\AQT\b2,2.aqt |
|
Date: 10/05/01 |
Time: 14:00:16 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 3. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B2,2) |
|
Initial Displacement: 7.56 m |
Water Column Height: 1.94 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Bouwer-Rice |
Well test analysis | |
Data Set: I:\SAG\01\713.00\AQT\b2,1.aqt |
|
Date: 10/05/01 |
Time: 13:37:53 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 3. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B2,1) |
|
Initial Displacement: 7.54 m |
Water Column Height: 6.46 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Hvorslev |
Well test analysis | |
Data Set: I:\SAG\01 \713.00\AQT\b2,1bouwer.aqt |
|
Date: 10/05/01 |
Time: 13:37:32 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 3. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B2,1) |
|
Initial Displacement: 7.54 m |
Water Column Height: 6.46 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Bouwer-Rice |
Well test analysis | |
Data Set: I:\SAG\01 \713.00\AQT\b3.aqt |
|
Date: 10/05/01 |
Time: 13:34:31 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 3. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B3) |
|
Initial Displacement: 7.46 m |
Water Column Height: 3.54 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Hvorslev |
B3 | |
Data Set: I:\SAG\01 \713.00\AQT\b3bouwer.aqt |
|
Date: 10/05/01 |
Time: 13:34:38 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 3. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B3) |
|
Initial Displacement: 7.46 m |
Water Column Height: 3.54 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Bouwer-Rice |
B4 |
|
Data Set: I:\SAG\01\713.00\AQT\b4.aqt |
|
Date: 10/05/01 |
Time: 13:44:56 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 3.61 m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B4) |
|
Initial Displacement: 7.39 m |
Water Column Height: 3.61 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Hvorslev |
B4 | |
Data Set: I:\SAG\01\713.00\AQT\b4bouwer.aqt |
|
Date: 10/05/01 |
Time: 13:44:45 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 3. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B4) |
|
Initial Displacement: 7.39 m |
Water Column Height: 3.61 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Bouwer-Rice |
B5 | |
Data Set: I:\SAG\01\713.00\AQT\b5.aqt |
|
Date: 10/05/01 |
Time: 13:46:58 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 3. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B5) |
|
Initial Displacement: 7.4 m |
Water Column Height: 3.6 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Hvorslev |
B5 |
|
Data Set: I:\SAG\01\713.00\AQT\b5bouwer.aqt |
|
Date: 10/05/01 |
Time: 14:03:32 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 3. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B5) |
|
Initial Displacement: 7.4 m |
Water Column Height: 3.6 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Bouwer-Rice |
B6 | |
Data Set: I:\SAG\01\713.00\AQT\b6.aqt |
|
Date: 10/05/01 |
Time: 13:47:41 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 3. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B6) |
|
Initial Displacement: 7.19 m |
Water Column Height: 4.81 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Hvorslev |
B3 | |
Data Set: I:\SAG\01\713.00\AQT\b6.aqt |
|
Date: 10/05/01 |
Time: 13:47:49 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 3. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B6) |
|
Initial Displacement: 7.19 m |
Water Column Height: 4.81 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Bouwer-Rice |
B7 | |
Data Set: I:\SAG\01\713.00\AQT\b7.aqt |
|
Date: 10/05/01 |
Time: 14:04:23 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 3. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B7,2) |
|
Initial Displacement: 6.94 m |
Water Column Height: 4.56 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Hvorslev |
B7 | |
Data Set: I:\SAG\01\713.00\AQT\b7bouwer.aqt |
|
Date: 10/05/01 |
Time: 14:04:39 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 3. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B7,2) |
|
Initial Displacement: 6.94 m |
Water Column Height: 4.56 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Bouwer-Rice |
B7,1 | |
Data Set: I:I\SAG\01\713.00\AQT\b7,1.aqt |
|
Date: 10/05/01 |
Time: 13:47:57 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 3. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B7,1) |
|
Initial Displacement: 6.84 m |
Water Column Height: 9.66 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Hvorslev |
B7,1 | |
Data Set: I:\SAG\01\713.00\AQT\b7,1bouwer.aqt |
|
Date: 10/05/01 |
Time: 13:48:12 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 3. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B7,1) |
|
Initial Displacement: 6.84 m |
Water Column Height: 9.66 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Bouwer-Rice |
B8 | |
Data Set: I:\SAG\01\713.00\AQT\b8bouwer.aqt |
|
Date: 10/05/01 |
Time: 13:50:07 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 3. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B8) |
|
Initial Displacement: 6.47 m |
Water Column Height: 4.53 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Hvorslev |
B8 | |
Data Set: I:\SAG\01\1713.00\AQT\b8bouwer.aqt |
|
Date: 10/05/01 |
Time: 14:05:33 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 3. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B8) |
|
Initial Displacement: 6.47 m |
Water Column Height: 4.53 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Bouwer-Rice |
B9 | |
Data Set: I:\SAG\01\1713.00\AQT\b9hvorslev.aqt |
|
Date: 10/05/01 |
Time: 13:56:28 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 3. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B9) |
|
Initial Displacement: 6.48 m |
Water Column Height: 4.52 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Hvorslev |
B9 | |
Data Set: I:\SAG\01\713.00\AQT\bgbouwer.aqt |
|
Date: 10/05/01 |
Time: 13:50:30 |
Projekt information |
|
Company: NIRAS |
|
Aquifer Data |
|
Saturated Thickness: 3. m |
Anisotropy Ratio (Kz/Kr): 1. |
Well Data (B9) |
|
Initial Displacement: 6.48 m |
Water Column Height: 4.52 m |
Solution |
|
Aquifer Model: Confined |
Solution Method: Bouwer-Rice |
Well test analysis | |||||||||||||
Data Set: I:\SAG\01\713.00\AQT\b1pumpe2.gang.aqt |
|||||||||||||
Date: 10/22/01 |
Time: 16:32:06 |
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Projekt information |
|||||||||||||
Company: NIRAS |
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Aquifer Data |
|||||||||||||
Saturated Thickness: 5. m |
Anisotropy Ratio (Kz/Kr): 1. |
||||||||||||
Well Data |
|||||||||||||
Pumping Wells
|
Observation Wells
|
||||||||||||
Solution |
|||||||||||||
Aquifer Model: Leaky |
Solution Method: Hantush-Jacob |
B4 | |||||||||||||
Data Set: I:\SAG\01\713.00\AQT\b4pumpe.aqt |
|||||||||||||
Date: 10/22/01 |
Time: 16:02:30 |
||||||||||||
Projekt information |
|||||||||||||
Company: NIRAS |
|||||||||||||
Aquifer Data |
|||||||||||||
Saturated Thickness: 5. m |
Anisotropy Ratio (Kz/Kr): 1. |
||||||||||||
Well Data |
|||||||||||||
Pumping Wells
|
Observation Wells
|
||||||||||||
Solution |
|||||||||||||
Aquifer Model: Leaky |
Solution Method: Hantush-Jacob |
B6 | |||||||||||||
Data Set: I:\SAG\01\713.00\AQT\b6pumpe.aqt |
|||||||||||||
Date: 10/22/01 |
Time: 16:03:25 |
||||||||||||
Projekt information |
|||||||||||||
Company: NIRAS |
|||||||||||||
Aquifer Data |
|||||||||||||
Saturated Thickness: 5. m |
Anisotropy Ratio (Kz/Kr): 1. |
||||||||||||
Well Data |
|||||||||||||
Pumping Wells
|
Observation Wells
|
||||||||||||
Solution |
|||||||||||||
Aquifer Model: Leaky |
Solution Method: Hantush-Jacob |
B7 | |||||||||||||
Data Set: I:\SAG\01\713.00\AQT\b7pumpe.aqt |
|||||||||||||
Date: 10/22/01 |
Time: 16:03:56 |
||||||||||||
Projekt information |
|||||||||||||
Company: NIRAS |
|||||||||||||
Aquifer Data |
|||||||||||||
Saturated Thickness: 5. m |
Anisotropy Ratio (Kz/Kr): 1. |
||||||||||||
Well Data |
|||||||||||||
Pumping Wells
|
Observation Wells
|
||||||||||||
Solution |
|||||||||||||
Aquifer Model: Leaky |
Solution Method: Hantush-Jacob |
B5 | |||||||||||||
Data Set: I:\SAG\01\713.00\AQT\b5pumpe.aqt |
|||||||||||||
Date: 10/22/01 |
Time: 09:42:58 |
||||||||||||
Projekt information |
|||||||||||||
Company: NIRAS |
|||||||||||||
Aquifer Data |
|||||||||||||
Saturated Thickness: 5. m |
Anisotropy Ratio (Kz/Kr): 1. |
||||||||||||
Well Data |
|||||||||||||
Pumping Wells
|
Observation Wells
|
||||||||||||
Solution |
|||||||||||||
Aquifer Model: Leaky |
Solution Method: Hantush-Jacob |
Den hydrauliske ledningsevne er bestemt ud fra sigtekurver af jordprøver udtaget i forskellige dybder, i et antal af boringerne. Ledningsevnen er bestemt ud fra fire forskellige løsningsmetoder med forskellige forudsætninger. Nedenfor ses de grundlæggende ligninger for de fire løsningsmetoder.
De fire løsningsmetoder er alle bygget op om den samme basisligning.
Hvor:
K = Hydraulisk ledningsevne [m/s]
g = tyngdeaccelerationen [m/s2]
v = den kinematiske viskositet for vand [m2/s]
C= dimensionsløs jordmatrice parameter[-]
j(n) = funktion for porøsiteten [-]
de2 = effektiv korndiameter [m2]
e = porøsiteten [-]
h = uensformighedstallet d10/d60 [-]
gi = vægtprocenten af en given fraktion di
dix =henholdsvis den øvre og nedre diameter for fraktionen.
For de tre løsningsmetoder har parametrene i basisligningen følgende værdier:
Metode |
C |
j(n) |
de |
Forudsætninger |
Hazen |
6 x 10-4 |
1+10(e-0,26) |
d10 |
0.01mm< de<3mm, h<5 |
Slichter |
1 x 10-2 |
e3,287 |
d10 |
0.01mm<de<5mm |
Krüger |
4.35 x 10-5 |
e/(1-e)2 |
1/de=SDgi(2/( dig+di9)) |
h>5 |
Beyer |
6 x 10 -4log(500/h) |
1 |
d10 |
0,06mm<de<0.6 mm. 1<h<5 |
De beregnede ledningsevner fra de fire metoder samt et gennemsnit er sammenfattet i
nedenstående tabel.
Boring |
Lithologi |
Dybde, m.u.t. |
Slugtests |
Pumpetest |
Kornkurver, gennemsnit |
Gennemsnit |
B1 |
ML/groft, gruset sand |
8,5-10,5 |
4,5 - 5,6×10-5 |
4,6×10-5 |
|
4,9×10-5 |
B2-2 |
MS, ml-grov |
8,5-9,5 |
2,3 - 3,3× 10-4 |
|
|
28×10-5 |
B2 |
Sand, groft, gruset |
11 |
|
|
28,5×10-5 |
28,5×10-5 |
B2 |
Sand, fint, velsorteret |
12 |
|
|
1,1×10-5 |
1,1×10-5 |
B2 |
Sand, fin-grov |
13 |
|
|
5,5×10-5 |
5,5×10-5 |
B2-1 |
Sand, groft, gruset |
13-14 |
3,5 - 3,8 ×10-4 |
|
16,5×10-5 |
30×10-5 |
B2 |
Sand, groft, gruset |
15 |
|
|
62,5×10-5 |
62,5×10-5 |
B3 |
Sand, groft, gruset |
10-11 |
7,7 - 7.8 ×10-5 |
|
7,2×10-5 |
7,6×10-5 |
B4 |
MS, sv. siltet, gruset |
10-11 |
3,1 ×10-5 |
3,0×10-4 |
18×10-5 |
17×10-5 |
B5 |
Sand, groft, stenet |
10-11 |
1,4× 10-4 |
1,6×10-4 |
7,8×10-5 |
12,6×10-5 |
B6 |
MS, fin-ml., sv. siltet |
11-12 |
5,6× 10-6 |
2,0×10-6 |
1,3×10-5 |
0,7×10-5 |
B7-2 |
Sand, fin-ml., siltet |
10,5-11,5 |
1,5× 10-5 |
1,9×10-5 |
1,0×10-5 |
1,5×10-5 |
B7-1 |
Sand, gruset, leret |
15,4-16,4 |
2,1 - 2,5× 10-5 |
|
5,4×10-5 |
3,3×10-5 |
B8 |
MS, ml.-grov, gruset |
10-11 |
7,6× 10-5 |
|
7,1×10-5 |
7,4×10-5 |
B9 |
Grus, groft sand, sten |
10-11 |
9,1 - 9,5× 10-4 |
|
35,4×10-5 |
73,8×10-5 |
Hydrauliske ledningsevner (i m/s) beregnet ud fra hhv. slugtests, pumpetest og kornkurver.