DOCUMENTATION FOR PREPARING THE INPUT FILE OF THE UPDATED HYDRUS PACKAGE FOR MODFLOW-2000

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DOCUMENTATION FOR PREPARING THE INPUT FILE OF THE UPDATED HYDRUS PACKAGE FOR MODFLOW-2000 Updated May 2008 Navin Kumar C. Twarakavi 1, Hyeyoung Sophia Seo 2 and Jirka Simunek 1 1 University of California, Riverside, 900 University Ave. Riverside CA 92521, Jiri.Simunek@ucr.edu 2 Colorado School of Mines, 1500 Illinois St. Golden CO 80401, hseo@mines.edu, epoeter@mines.edu The input to the HYDRUS Package is read from the file that is type UNSF in the name file. Note that the HYDRUS package comes with an author supplied template for ease in preparing the package input file. The input files may have any number of comment lines. Unlike other MODFLOW packages, the HYDRUS package can have any number of comment lines. However, each comment line must be distinguished by starting it with a # sign. Input in [ ] is not mandatory and is required under some conditions. FOR EACH SIMULATION 0. [ #Text ] 1. NPUNSP NUNSFOP IUNSFCB IUNSFpr 2. NMAT MAXNP MAXATM 3. Zonarr 4. MaxIt TolTh TolH 5. DT DTMIN DTMAX DMUL DMUL2 ITMIN ITMAX 6. HTAB1 HTABN imodel 7. THR THS ALPHA N KS L (Repeat item 7 NMAT times.) 8. PROPR [PROINF] [PRINT TIMES, must be repeated PROpr times] FOR EACH PROFILE 9. [IZ] 10. SINKF WLAYER LINITW NOMAT 11. NUMNP 12. N Z(n) H MAT BETA (Repeat item 11 NUMNP times.) 13. [P0 P2H P2L P3 r2h r2l POPTM] (Read when SINKF 0.) 14. MAXAL hcrits 15. tatm Prec rsoil rroot hcrita (Repeat item 14 MAXAL times.)

EXPLANATION OF VARIABLES Text NPUNSP NUNSFOP IUNSFCB IUNSFpr NMAT MAXNP MAXATM Zonarr MaxIt Character variable (199 characters) that starts in column 2. Any characters can be included in Text. The # character must be in column 1. Text is printed when the file is read. Number of unsaturated flow profiles. Unsaturated flux option code. The flux is either applied to the first layer in each vertical column or to the highest active layer. 1; Unsaturated flux is applied to layer one. 2; Unsaturated flux is applied to the highest active layer in each vertical column. Flag and a unit number. If IUNSFCB > 0, it is the unit number to which cell-by-cell flow terms will be written when SAVE BUDGET or a non-zero value for IUNSFCB is specified in Output Control. If IUNSFCB 0, cell-by-cell flow terms will not be written. Output flag. The possible values of IUNSFpr and their meanings are as follows: If IUNSFpr = 0, then only input is printed. If IUNSFpr = 1, then an echo of input and the fluxes from the UNSF package are printed at the end of each time period. If IUNSFpr = 2, then no input is echoed but fluxes are printed at the end of each time step. Total number of soil materials in the model domain. Materials are identified by the material number, MatNum. Maximum number of nodal points in a HYDRUS profile. Maximum number of atmospheric data. Name of the zone array to be used to define the cells that are associated with each profile. The name ALL means that there is no zone array and one HYDRUS profile is used for all MODFLOW grid cells. The name EACH means that the HYDRUS profile is used for each MODFLOW grid cell. Maximum number of iterations allowed during any unsaturated flow calculation time step, while solving the nonlinear Richards' equation using a modified Picard method. The suggested value is 20. 2

TolTh TolH DT DTMIN DTMAX DMUL DMUL2 ITMIN ITMAX HTAB1 Absolute water content tolerance for nodes in the unsaturated flow model (the suggested initial value is 0.0001). TolTh represents the maximum desired absolute change in the value of the water content between two successive iterations during a time step. If the numerical solution does not converge, the user may try to relax these criteria, or use finer discretization. Absolute pressure head tolerance for nodes in the saturated flow model (its recommended initial value is 0.1cm). TolH represents the maximum desired absolute change in the value of the pressure head between two successive iterations during a particular time step. If the numerical solution does not converge, the user may try to relax these criteria, or use finer discretization. Initial time increment, Δt [T]. Initial time step should be estimated with respect to the problem being solved. For problems with high pressure gradients (e.g. infiltration into and initially dry soil), Δt should be relatively small. Minimum permitted time increment for the unsaturated zone model, Δt min [T]. Maximum permitted time increment for the unsaturated zone model, Δt max [T]. Dimensionless number to multiply Δt for the next time step when the number of required iterations at a particular time step is less than or equal to ITMIN. The recommended value ranges between 1.0 and 1.3. Dimensionless number to multiply Δt for the next time step when the number of required iterations at a particular time step is less than or equal to ITMAX. Usually DMUL2 is less than 1.0, and the recommended value is 0.7. Lower optimal iteration range. When the number of iterations necessary to reach convergence for water flow is less than or equal to this number, the time step is multiplied by a dimensionless number DMUL. Recommended value is 3. Upper optimal iteration range. When the number of iterations necessary to reach convergence for water flow is higher than this number, the time step is multiplied by a dimensionless number DMUL2. Recommended value is 7. Absolute value of the upper limit [L] of the pressure head interval below which a table of hydraulic properties will be generated internally for each material (HTAB1 must be greater than 0.0; e.g. 0.001cm). 3

HTABN imodel THR THS ALPHA N L KS PROPR Absolute value of the lower limit [L] of the pressure head interval for which a table of hydraulic properties will be generated internally for each material (e.g. 1000m). If the absolute value of the pressure head during program execution lies outside of the interval [HATB1, HTABN], then appropriate values for the hydraulic properties are computed directly from the hydraulic functions (i.e. without interpolation in the table). Soil hydraulic properties model: = 0; van Genuchten = 1; van Genuchten with air entry value of 2 cm = 2; Brooks and Corey Residual water content. Saturated water content. Inverse of the air-entry value (or bubbling pressure) Pore size distribution index Pore-connectivity parameter Saturated hydraulic conductivity. A flag that allows for printing HYDRUS profile information at selected print times. The profiles are printed in profile.out. 0; Profile information not printed. >0; Profile information printed for PROPR number of times. PROINF A flag that indicates what kind of profile information has to be printed,. This is required only if PROPR >0. 0; pressure heads at each node is printed. >0; water contents are printed. PRINT TIMES A line with the times (number of times=propr) at which the profile information needs to be printed. IZ SINKF WLAYER Zone number that defines the cells associated with the profile. These values are omitted if Zonarr is specified as ALL or EACH. The HYDRUS Profile starts with a cell at column 1 and row 1 and moves to column 2 and row 1. Root water uptake flag. If SINKF 0, water extraction from the root zone occurs. If SINKF < 0, no water extraction from the root zone. Water accumulation flag. 4

If WLAYER 0, water can accumulate at the surface (There is no surface runoff). If WLAYER < 0, any excess water on the soil surface will be immediately removed (It is assumed to runoff). LINITW NOMAT NUMNP N Z(n) H Initial condition flag. If LINITW 0, the initial condition is given in terms of water content. If LINITW < 0, the initial condition is given in terms of pressure head. Number of soil materials in the profile. Number of nodal points. Nodal number. Nodes are numbered sequentially from 1 to NumNP (total number of nodes) from the soil surface to the bottom of the soil profile. Z-coordinate of node n. Z=0 at the sea level. Initial value of the pressure head at node n expressed in terms of height of a column of water. MAT Index for material whose hydraulic properties are assigned to node n. BETA P0 P2H P2L P3 r2h r2l Value of water uptake distribution, b(z) [L -1 ], in the soil root zone at the node n. Set beta (n) equal to zero if node n lies outside the root zone. b(z) is the normalized water uptake distribution in the equation (39). Value of the pressure head below which the roots start to extract water from the soil. Required if SINKF 0. Value of the limiting pressure head at which the roots cannot extract water at the maximum rate (assuming a potential transpiration rate of r2h). Required if SINKF 0. Value of the limiting pressure head at which the roots cannot extract water at the maximum rate (assuming a potential transpiration rate of r2l). Required if SINKF 0. Value of the pressure head below which root water uptake ceases (usually equal to the wilting point). Required if SINKF 0. Highest potential transpiration rate [LT -1 ]. Required if SINKF 0. Lowest potential transpiration rate [LT -1 ]. Required if SINKF 0. 5

POPTM MAXAL Value of the pressure head below which roots start to extract water at the maximum possible rate. Required if SINKF 0. Number of atmospheric data records. hcrits Maximum allowed pressure head at the soil surface (usually 0.0). tatm Prec rsoil rroot hcrita Time for which the i-th atmospheric data record is provided [T]. Time is specified relative to the start of the MODLOFW simulation. Precipitation rate [L/T]. Prec, rsoil, and rroot are always positive. If a negative value is entered, the absolute value will be used. Potential evaporation rate in absolute value [L/T]. Potential transpiration rate in absolute value [L/T]. Absolute value of the minimum allowed pressure head at the soil surface [L] (defined from equilibrium conditions between soil water and atmospheric vapor). 6