000141455 001__ 141455
000141455 005__ 20181203021710.0
000141455 0247_ $$2doi$$a10.1029/91WR01937
000141455 022__ $$a0043-1397
000141455 037__ $$aARTICLE
000141455 245__ $$aA Note on Transport in Stratified Formations by Flow Tilted with Respect to the Bedding
000141455 260__ $$c1991
000141455 269__ $$a1991
000141455 336__ $$aJournal Articles
000141455 520__ $$aThe tendency to ergodicity of transport through heterogeneous stratified formations by a flow tilted with respect to the bedding is examined in this note. The idealized model of evenly stratified formations resembles recharge areas in naturally layered sedimentary geological structures over short distances, and transport features of more complex heterogeneous structures. Two cases are considered herein: the ergodic limit and the nonergodic regime. In the former case the theory predicts a constant asymptotic value of longitudinal dispersivity controlled by the log transmissivity integral scale. In the latter case, asymptotic results of an analytic nature are derived for the limit case of large travel times. Monte Carlo simulations are performed to study the plume evolutions for a wide range of heterogeneities and of initial size of the solute body transverse to the bedding. Results are compared with the analytical solution. It is concluded that, in the realistic case of finite initial transverse size of the plumes, ergodicity is not obeyed. Ergodic conditions, in our experiments, were not achieved even for a solute body whose dimension was 400 times the log transmissivity correlation scale. In such cases, theoretical and numerical evidence suggests that in nonergodic regimes the longitudinal dispersion coefficient tends asymptotically to zero for any initial size of the solute body.
000141455 700__ $$aSalandin, P.
000141455 700__ $$0240022$$aRinaldo, A.$$g182281
000141455 700__ $$aDagan, G.
000141455 773__ $$j27$$k11$$q3009-3017$$tWater Resources Research
000141455 909C0 $$0252014$$pECHO$$xU10273
000141455 909CO $$ooai:infoscience.tind.io:141455$$particle$$pENAC
000141455 937__ $$aECHO-ARTICLE-1991-004
000141455 973__ $$aEPFL$$rREVIEWED$$sPUBLISHED
000141455 980__ $$aARTICLE