Analytical solution of the linearized hillslope-storage Boussinesq equation for exponential hillslope width functions

被引:48
作者
Troch, PA [1 ]
van Loon, AH [1 ]
Hilberts, AGJ [1 ]
机构
[1] Univ Wageningen & Res Ctr, Environm Sci Grp, NL-6709 PA Wageningen, Netherlands
关键词
analytical solutions; Boussinesq equation; groundwater modeling; hillslope drainage; linearization; subsurface flow;
D O I
10.1029/2003WR002850
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
This technical note presents an analytical solution to the linearized hillslope-storage Boussinesq equation for subsurface flow along complex hillslopes with exponential width functions and discusses the application of analytical solutions to storage-based subsurface flow equations in catchment studies.
引用
收藏
页码:W086011 / W086016
页数:6
相关论文
共 11 条
[1]  
Arfken G.B., 2013, Mathematical methods for physicists
[2]  
BEVEN KJ, 1982, HYDROLOG SCI J, V4, P505
[3]   THE UNIT RESPONSE OF GROUNDWATER OUTFLOW FROM A HILLSLOPE [J].
BRUTSAERT, W .
WATER RESOURCES RESEARCH, 1994, 30 (10) :2759-2763
[4]   REGIONALIZED DROUGHT FLOW HYDROGRAPHS FROM A MATURE GLACIATED PLATEAU [J].
BRUTSAERT, W ;
NIEBER, JL .
WATER RESOURCES RESEARCH, 1977, 13 (03) :637-644
[5]   The hillslope-storage Boussinesq model for non-constant bedrock slope [J].
Hilberts, AGJ ;
van Loon, EE ;
Troch, PA ;
Paniconi, C .
JOURNAL OF HYDROLOGY, 2004, 291 (3-4) :160-173
[6]   Catchment-scale advection and dispersion as a mechanism for fractal scaling in stream tracer concentrations [J].
Kirchner, JW ;
Feng, XH ;
Neal, C .
JOURNAL OF HYDROLOGY, 2001, 254 (1-4) :82-101
[7]   Hillslope-storage Boussinesq model for subsurface flow and variable source areas along complex hillslopes: 2. Intercomparison with a three-dimensional Richards equation model [J].
Paniconi, C ;
Troch, PA ;
van Loon, EE ;
Hilberts, AGJ .
WATER RESOURCES RESEARCH, 2003, 39 (11)
[8]   Analytical solutions to a hillslope-storage kinematic wave equation for subsurface flow [J].
Troch, P ;
van Loon, E ;
Hilberts, A .
ADVANCES IN WATER RESOURCES, 2002, 25 (06) :637-649
[9]   Hillslope-storage Boussinesq model for subsurface flow and variable source areas along complex hillslopes: 1. Formulation and characteristic response [J].
Troch, PA ;
Paniconi, C ;
van Loon, EE .
WATER RESOURCES RESEARCH, 2003, 39 (11) :SBH31-SBH312
[10]   EFFECTIVE WATER-TABLE DEPTH TO DESCRIBE INITIAL CONDITIONS PRIOR TO STORM RAINFALL IN HUMID REGIONS [J].
TROCH, PA ;
DETROCH, FP ;
BRUTSAERT, W .
WATER RESOURCES RESEARCH, 1993, 29 (02) :427-434