TY - JOUR

T1 - A new formulation for steady multiaquifer flow

T2 - An analytic element for piecewise constant infiltration

AU - Strack, O. D.L.

AU - Namazi, Taha

PY - 2014/10/1

Y1 - 2014/10/1

N2 - This paper contains a new formulation for infiltration inside domains bounded by polygons and its application to problems of steady multiaquifer flow, using the Dupuit-Forchheimer approximation and assuming vertical flow in the separating layers. An alternative formulation is presented for leaky aquifer systems where infiltration or extraction is given. Existing formulations of multiaquifer flow involve a system of equations that must be solved for the heads in the aquifers. These formulations are abstract, and the relation between the parameters in the solution and physical quantities is hidden. The formulation in the paper aims at linking the system of equations to physical quantities; we have done this in two ways. First, we formulate the problem in terms of leakage potentials, related directly to the leakage through the leaky layers. Second, we introduce the concept of "equilibrated leakage," leakage that is either the result of infiltration or of some disturbance in the flow pattern, such as that caused by a well. The leakage through the leaky layers tends to some constant value far from a disturbance, e.g., a well, or the boundary of an area of constant infiltration. This concept of equilibrated leakage is useful in practice and helps in understanding the distribution of leakage; we explain this in detail in the paper. The study of problems of steady flow in leaky aquifer systems is inspired by problems of groundwater sustainability, where the overall distribution of flow over long periods of time is important, rather than detailed information. Key Points New formulation for multiaquifer flow An analytic element for piecewise constant infiltration Leakage factors for multiaquifer flow

AB - This paper contains a new formulation for infiltration inside domains bounded by polygons and its application to problems of steady multiaquifer flow, using the Dupuit-Forchheimer approximation and assuming vertical flow in the separating layers. An alternative formulation is presented for leaky aquifer systems where infiltration or extraction is given. Existing formulations of multiaquifer flow involve a system of equations that must be solved for the heads in the aquifers. These formulations are abstract, and the relation between the parameters in the solution and physical quantities is hidden. The formulation in the paper aims at linking the system of equations to physical quantities; we have done this in two ways. First, we formulate the problem in terms of leakage potentials, related directly to the leakage through the leaky layers. Second, we introduce the concept of "equilibrated leakage," leakage that is either the result of infiltration or of some disturbance in the flow pattern, such as that caused by a well. The leakage through the leaky layers tends to some constant value far from a disturbance, e.g., a well, or the boundary of an area of constant infiltration. This concept of equilibrated leakage is useful in practice and helps in understanding the distribution of leakage; we explain this in detail in the paper. The study of problems of steady flow in leaky aquifer systems is inspired by problems of groundwater sustainability, where the overall distribution of flow over long periods of time is important, rather than detailed information. Key Points New formulation for multiaquifer flow An analytic element for piecewise constant infiltration Leakage factors for multiaquifer flow

KW - analytic elements

KW - groundwater flow

KW - groundwater sustainability

KW - infiltration

KW - leakage

KW - multiaquifer flow

UR - http://www.scopus.com/inward/record.url?scp=84911384538&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84911384538&partnerID=8YFLogxK

U2 - 10.1002/2014WR015479

DO - 10.1002/2014WR015479

M3 - Article

AN - SCOPUS:84911384538

VL - 50

SP - 7939

EP - 7956

JO - Water Resources Research

JF - Water Resources Research

SN - 0043-1397

IS - 10

ER -