Underground Travel of Pollutants
165
The equation becomes
£ ö 2 [fW + w f l ^ - D , f (Z) ] = D 2 [Cr + C - C 0 ]
As D 2 and C are small
C -
C o
= 6~D 2 W*)
+ W *
Z ) -
D >
f ' (
Z > 1
On substituting the average values of oxygen consumed and enterococcus we
following relations:
r 3
c -
c o = 7T> [(1.1698-0.0050 t +0.00027 t
2
- 0 2 C o n s .
Ü 2
0.000002 t
3 ) + w (7.8991 + 0.7484 Z - 0.0222 Z
2
+ 0.0002 Z
3 ) - Ö! (0.7484 - 0.0443Z + 0.0006 Z
2 ) ]
AND
C _ C °
= 6D Γ (-28.3853+ 11.0368t-0.6017 t
2 + 0.0082 t
3 )
Enterococcus
+ w(287.9123 - 24.7642 Z + 0.6542 Z
2 - 0.0054 Z
3 )
- Ö! (24.7642 + 1.3084 Z - 0.0163 Z
2 )
The above solution is only a particular solution and is valid in the following ranges: t = 0
— 48 hrs; Z = 0 — 60 cm; r = 0 — °°. The dispersion coefficients in each of the above cases
have to be determined separately. Work in this direction is in progress.
The foregoing discussions show:(i) An organic mat, as a screen to bacteria, seems to be formed. It shifts with time and
its subsequent failure results in bacterial breakthrough,
(ii) The bacteria show a tendency to disperse laterally after the bacterial breakthrough,
(iii) The equations (iii) and (iv) define the dispersion of the respective contaminants both
longitudinally and laterally.
REFERENCES
1 BEHNKE, J.J. and HASKELL, E.E., Jr., "Ground Water Nitrate Distribution Beneath Fresno.
California", Jr. A.W.W.A., Vol. 60, No. 4, p 477 (April 1968).
2 MATHUR, R.P., CHANDRA, S. and BHARADWAJ, K.A., "Two Dimensional Study of Travel of
Pollution in Roorkee Soil", Journal of the Institution of Engineers (India), Vol. 48, No. 10,
Pt.PH.3 (June 1968).
3 BHASKARAN,T.R. and DYERI, B.R., "Investigation of Ground Water Pollution", Pt. I, Indian
Journal of Med. Research, Vol. 31, No. 2 (1943).
4 BURT, H., "Contamination of Ground Water Resources", Jr. Civil Engineering, Vol. II, p.343
(1941).
5 GRAHAM, J.B., "Management of Ground Water Acquifers", Jr. A.W.W.A., Vol 60, No. 6, p.640
(June 1968).
165
The equation becomes
£ ö 2 [fW + w f l ^ - D , f (Z) ] = D 2 [Cr + C - C 0 ]
As D 2 and C are small
C -
C o
= 6~D 2 W*)
+ W *
Z ) -
D >
f ' (
Z > 1
On substituting the average values of oxygen consumed and enterococcus we
following relations:
r 3
c -
c o = 7T> [(1.1698-0.0050 t +0.00027 t
2
- 0 2 C o n s .
Ü 2
0.000002 t
3 ) + w (7.8991 + 0.7484 Z - 0.0222 Z
2
+ 0.0002 Z
3 ) - Ö! (0.7484 - 0.0443Z + 0.0006 Z
2 ) ]
AND
C _ C °
= 6D Γ (-28.3853+ 11.0368t-0.6017 t
2 + 0.0082 t
3 )
Enterococcus
+ w(287.9123 - 24.7642 Z + 0.6542 Z
2 - 0.0054 Z
3 )
- Ö! (24.7642 + 1.3084 Z - 0.0163 Z
2 )
The above solution is only a particular solution and is valid in the following ranges: t = 0
— 48 hrs; Z = 0 — 60 cm; r = 0 — °°. The dispersion coefficients in each of the above cases
have to be determined separately. Work in this direction is in progress.
The foregoing discussions show:(i) An organic mat, as a screen to bacteria, seems to be formed. It shifts with time and
its subsequent failure results in bacterial breakthrough,
(ii) The bacteria show a tendency to disperse laterally after the bacterial breakthrough,
(iii) The equations (iii) and (iv) define the dispersion of the respective contaminants both
longitudinally and laterally.
REFERENCES
1 BEHNKE, J.J. and HASKELL, E.E., Jr., "Ground Water Nitrate Distribution Beneath Fresno.
California", Jr. A.W.W.A., Vol. 60, No. 4, p 477 (April 1968).
2 MATHUR, R.P., CHANDRA, S. and BHARADWAJ, K.A., "Two Dimensional Study of Travel of
Pollution in Roorkee Soil", Journal of the Institution of Engineers (India), Vol. 48, No. 10,
Pt.PH.3 (June 1968).
3 BHASKARAN,T.R. and DYERI, B.R., "Investigation of Ground Water Pollution", Pt. I, Indian
Journal of Med. Research, Vol. 31, No. 2 (1943).
4 BURT, H., "Contamination of Ground Water Resources", Jr. Civil Engineering, Vol. II, p.343
(1941).
5 GRAHAM, J.B., "Management of Ground Water Acquifers", Jr. A.W.W.A., Vol 60, No. 6, p.640
(June 1968).