Directory UMM :Data Elmu:jurnal:A:Advances In Water Resources:Vol24.Issue2.2000:

Corrigendum

Analytical modeling of di€usion-limited contamination and

decontamination in a two-layer porous medium [Advances in Water

Resources 21 (1998) 297±313]

q

C. Liu

*,1

_{, W.P. Ball}

Department of Geography and Environmental Science, Johns Hopkins University, Baltimore, MD 21218, USA

In the above paper, Eqs. (11a), (11b), (B11a), and (C10b) have minor errors. All calculations and subsequent work were based on correct equations and are not a€ected. The correct formulations should be read as follows:

W₁x_;t_{† ˆ}1‡h

2



R₂

D₂pt

r

X‡1

nˆ0 hn

Z ‡1

L

u2…n†exp

0

B @ÿ

nÿL_‡ D2R1 D₁R₂

q

……2n_‡1†L_ÿx_†

2

4D₂t₌R₂

1

C Adnÿ

1‡h 2



R₂

D₂pt

r

X‡1

nˆ0 hn

Z ‡1

L

u2…n†exp

0

B @ÿ

nÿL_‡ D2R1 D1R2

q

……2n_‡1†L_‡x_†

2

4D₂t₌R₂

1

C

Adn; …11a†

W₂x_;t_{† ˆ}h

2

ÿ1 2



R₂

D₂pt

r

X‡1

nˆ0 hn

Z ‡1

L

u₂…n†exp

0

B @ÿ

x_‡nÿ2L_‡



D₂R₁ D₁R₂

q

……2n_‡2†L_†

2

4D₂t₌R₂

1

C Adn

‡h

2



R₂

D₂pt

r Z ‡1

L

u2…n†exp ÿ

x_‡nÿ2L

… †2

4D₂t₌R₂

!

dn‡1

2



R₂

D₂pt

r Z ‡1

L

u2…n†exp ÿ

x_ÿn

… †2

4D₂t₌R₂

!

dn; …11b†

V₁x_;t_{† ˆ}1

2



R₁

D₁pt

r

X‡1

n_ˆ1 hn

Z L

0

u1…n† exp ÿ

2nL_ÿx_‡n

… †2

4D₁t₌R₁

!

ÿexp ÿ…2nLÿxÿn†

2

4D₁t₌R₁

!!

dn

‡1

2



R₁

D₁pt

r

X‡1

nˆ1 hn

Z L

0

u1…n† exp ÿ

2nL_‡x_ÿn

… †2

4D₁t₌R₁

!

ÿexp ÿ…2nL‡x‡n†

2

4D₁t₌R₁

!!

dn

‡1

2



R₁

D₁pt

r Z L

0

u₁…n† exp ÿ…xÿn†

2

4D₁t₌R₁

!

ÿexp ÿ…x‡n†

2

4D₁t₌R₁

!!

dn: …B11a†

Eq. (C10b) has the same formulation as Eq. (11b). We thank Dr. Gerald Eykholt at the University of Wisconsin-Madison, Department of Civil and Environmental Engineering, for bringing these errors to our attention.

Advances in Water Resources 24 (2001) 225

www.elsevier.com/locate/advwatres

q

PII of the original article: S0309-1708(96)00062-0.

1

Present address: Environmental Dynamics and Simulation, EMSL, Paci®c Northwest National Laboratory, P.O. Box 999, K8-96, Richland, WA 99352, USA.

*

Corresponding author. Tel.: +1-509-376-0129; fax: +1-509-376-3650. E-mail address:chongxuan.liu@pnl.gov (C. Liu).