Directory UMM :Data Elmu:jurnal:A:Advances In Water Resources:Vol23.Issue8.2000:

Errata

Watertable dynamics under capillary fringes: experiments and

modelling [Advances in Water Resources 23 (2000) 503±515]

q

Peter Nielsen

*

_{, Pierre Perrochet}

Department of Civil Engineering, University of Queensland, St. Lucia, Qld 4072, Australia

The publishers regret that Figs. 2±11 in the above article were published with incorrect captions. The correct ®gures

and captions are printed below.

In addition, 0.023

i

in line 3 of the right-hand column of p. 508 should be 0.011

i

.

www.elsevier.com/locate/advwatres Advances in Water Resources 23 (2000) 907±908

q

PII of the original article: S0309-1708(99)00038-X.

*

Corresponding author. Tel.: 3510; fax: +61-7-3365-4599.

E-mail address:p.nielsen@mailbox.uq.edu.au (P. Nielsen). Fig. 2. Measured moisture retention curve for the 0.20 mm sand at dry density 1604 kg/m3_{and van Genuchten [4] curve ®t.}

Fig. 3. Moisture pro®les every quarter period and moisture variability (2 times standard deviation),d_{50ˆ0:20 mm,}T _ˆ29 min. The water-table range was 0:38 m<ht_{†<0:66 m (see Fig. 4).}

Fig. 4. Measured variation of the watertable heighth(t) and the total moisturehtot(t). Tˆ29 min;d50ˆ0:20 mm. Symbols are the actual

values, curves are the simple harmonic parts. Compare with the cor-responding moisture pro®les in Fig. 3.

Fig. 5. Amplitude gainjF_jand phase lag Arg{F} of the watertable for

experiments with 0.20 mm sand with K_{ˆ0:00047 m=s,}d_{ˆ0:52 m,}

n_{ˆ0:30 and} h_ct_{† ˆ0:32 m. Diamonds, j}F_j from experiments;

squares, Arg{F} from experiments; dotted lines, Eq. (21) with

n_dˆn_{ˆ0:3; solid lines, Eq. (21) with}n_{dˆ0:037ÿ0:023}i.

Fig. 8. Numerical results (curves) based on the Richards + van Ge-nuchten model and experimental (symbols) values ofh(t) andhtot(t) for

the ®ne sand (0.20 mm) andT_ˆ29 min. Bold line ish0(t), the lower

thin line ish(t) and the upper thin line ishtot(t).

Fig. 11. Complex wave numbersk_ˆk_R‡ik_Ifor the ®rst three modes corresponding to the dispersion relation (41). The top curves corre-spond to real-valued nd. The subsequent lower curves correspond,

respectively, to b₌a_{ˆ ÿ0:1;ÿ0:5;ÿ}1 and ÿ5 in the notation

n_dˆa_‡ib.

Fig. 9. Comparison ofnd/ndetermined through Eq. (21) from all

ex-periments with 0.20 mm sand (squares) and from the Richards's model (diamonds). Full symbols represent Re{nd/n} open symbols represent

Im{nd/n}.

Fig. 7. Comparison with the two Green±Ampt models with

d_{ˆ0:526 m}; H_c=d_{ˆ0:62. Symbols; measurements; full lines; Eq.}

(31); dotted lines, Eq. (34) withK₁₌K_ˆ0:3.

Fig. 6. Experimental values for the complexnd obtained from the

observed watertable response via Eq. (21). The real part is shown by full symbols, the imaginary part by open symbols.

Fig. 10. Comparison of experimental (symbols) amplitude ratios (jF_j) and phase lag…ÿArgfF_g†of the watertable with those obtained from the Richards model (curves).