TY - JOUR

T1 - Contamination pattern in groundwater resulting from an underground source

AU - Pistiner, Arieh

AU - Shapiro, Michael

N1 - Funding Information:
This research has been supported by the Technion V. P. R. Fund – B. and I. Green Research Fund. The authors are grateful to Dr. B. Skachek for performing computations of the contamination patterns in Figures 8–10.

PY - 1998

Y1 - 1998

N2 - Steady distribution of oil pollutant within an aquifer, discharging from an underground source, is modeled by a two-dimensional nonlinear diffusion-convection equation. This equation describes oil transport in the immiscible zone, containing large oil blobs. This zone serves as a secondary source of contaminant in the dispersed zone, containing freely flowing oil drops. A self-similar solution is obtained for the steady saturation distribution in the immiscible zone, which is valid at distances greatly exceeding the source size across the water-flow direction. The distribution of oil saturation within the aquifer is investigated numerically and analytically as a function of the water-flow rate, pore sizes and the leakage rate of the oil-pollution source. This rate is characterized by a dimensionless parameter, dependent on the oil viscosity, aquifer permeability and the water-flow rate in the aquifer. Various flow regimes are described which yield plum-like contamination patterns. The location of the boundary between the immiscible and dispersed oil zones is calculated in terms of the source-strength parameter, water and oil properties and porous-medium structure. A closed form analytical solution is obtained in a particular case where a linear relationship exists between parameters governing advection and dispersion oil-transport rates.

AB - Steady distribution of oil pollutant within an aquifer, discharging from an underground source, is modeled by a two-dimensional nonlinear diffusion-convection equation. This equation describes oil transport in the immiscible zone, containing large oil blobs. This zone serves as a secondary source of contaminant in the dispersed zone, containing freely flowing oil drops. A self-similar solution is obtained for the steady saturation distribution in the immiscible zone, which is valid at distances greatly exceeding the source size across the water-flow direction. The distribution of oil saturation within the aquifer is investigated numerically and analytically as a function of the water-flow rate, pore sizes and the leakage rate of the oil-pollution source. This rate is characterized by a dimensionless parameter, dependent on the oil viscosity, aquifer permeability and the water-flow rate in the aquifer. Various flow regimes are described which yield plum-like contamination patterns. The location of the boundary between the immiscible and dispersed oil zones is calculated in terms of the source-strength parameter, water and oil properties and porous-medium structure. A closed form analytical solution is obtained in a particular case where a linear relationship exists between parameters governing advection and dispersion oil-transport rates.

KW - Aquifer

KW - Groundwater

KW - Oil saturation

KW - Pollution

KW - Self-similar solution

UR - http://www.scopus.com/inward/record.url?scp=0031678054&partnerID=8YFLogxK

U2 - 10.1023/A:1004264700259

DO - 10.1023/A:1004264700259

M3 - 文章

AN - SCOPUS:0031678054

SN - 0022-0833

VL - 33

SP - 15

EP - 30

JO - Journal of Engineering Mathematics

JF - Journal of Engineering Mathematics

IS - 1

ER -