Macrodispersion by Point-Like Source Flows in Randomly Heterogeneous Porous Media
详细信息 查看全文
- 作者：1. Division of Water Resources Management ; University of Naples Federico II ; via Università 100 ; 80055 Portici ; NA ; Italy2. Department of Mechanical and Aerospace Engineering (MAE) ; University of California ; 9500 Gilman Drive EBU II ; Mail Code 0411 La Jolla ; San Diego ; CA 92093 ; USA
- 关键词：Porous media – Point ; like source flow – Heterogeneity – Macrodispersion – Stochastic modeling
- 刊名：Transport in Porous Media
- 出版年：2011
- 出版时间：August 2011
- 年：2011
- 卷：89
- 期：1
- 页码：121-134
- 全文大小：450.5 KB
- 参考文献：1. Chao C.-H., Rajaram H., Illangasekare T.H.: Intermediate scale experiments and numerical simulations of transport under radial flow in a two-dimensional heterogeneous porous medium. Water Resour. Res. 36, 2869–2884 (2000)
2. Dagan G.: Flow and Transport in Porous Formations. Springer, New York (1989)
3. Fernàndez-Garcia D., Illagasekare T.H., Rajaram H.: Conservative and sorptive forced-gradient and uniform flow tracer tests in a three-dimensional laboratory test aquifer. Water Resour. Res. 40, W10103.1–W10103.17 (2004). doi:
4. Gelhar L., Axness C.: Three-dimensional stochastic analysis of macrodispersion in aquifers. Water Resour. Res. 19, 161–180 (1983)
5. Indelman P.: Steady-state flow in heterogeneous porous media. Transp. Porous Media 45, 105–127 (2001)
6. Indelman P., Dagan G.: Solute transport in divergent radial flow through heterogeneous porous media. J. Fluid Mech. 384, 159–182 (1999)
7. Indelman P., Rubin Y.: Solute transport in nonstationary velocity fields. Water Resour. Res. 32, 1259–1267 (1996)
8. Indelman P., Fiori A., Dagan G.: Steady flow toward wells in heterogeneous formations: mean head and equivalent conductivity. Water Resour. Res. 32, 1975–1983 (1996)
9. Lessoff S.C., Indelman P.: Stochastic determination of three-dimensional capture zones for a fully penetrating well. Water Resour. Res. 40, W03508.1–W03508.9 (2004). doi:
10. Naff R.L.: Radial flow in heterogeneous porous media: an analysis of specific discharge. Water Resour. Res. 27, 307–316 (1991)
11. Ptak T., Piepenbrink M., Martac E.: Tracer tests for the investigation of heterogeneous porous media and stochastic modelling of flow and transport—a review of some recent developments. J. Hydrol. 294, 122–163 (2004)
12. Rubin Y.: Applied Stochastic Hydrogeology. Oxford University Press, New York (2003)
13. Severino G., Santini A., Sommella A.: Steady flows driven by sources of random strength in heterogeneous aquifers with application to partially-penetrating wells. Stoch. Environ. Res. Risk Assess. 22, 567–582 (2008). doi:
14. Shvidler M.I.: Stochastic Hydrodynamics of Porous Media. Nedra, Moscow (in Russian) (1985) - 作者单位：http://www.springerlink.com/content/826257371xq52457/
- 刊物类别：Earth and Environmental Science
- 刊物主题：Earth sciences
Geotechnical Engineering
Industrial Chemistry and Chemical Engineering
Civil Engineering
Hydrogeology
Mechanics, Fluids and Thermodynamics - 出版者：Springer Netherlands
- ISSN：1573-1634
文摘
A pulse of a passive tracer is injected in a porous medium via a point-like source. The hydraulic conductivity K is regarded as a stationary isotropic random space function, and we model macrodispersion in the resulting migrating plume by means of the second-order radial spatial moment X rr . Unlike previous results, here X rr is analytically computed in a fairly general manner. It is shown that close to the source macrodispersion is enhanced by the large local velocities, whereas in the far field it drastically reduces since flow there behaves like a mean uniform one. In particular, it is demonstrated that X rr is bounded between X ∞ corresponding to the short-range (far field), and X 0 pertaining to the long-range (near-field) correlation in the conductivity field. Although our analytical results rely on the assumption of isotropic medium, they enable one to grasp in a simple manner the main features of macrodispersion mechanism, therefore providing explicit physical insights. Finally, the proposed model has potential toward the characterization of the spatial variability of K as well as testing more general numerical codes.