\name{setup.compaction.1D} \alias{setup.compaction.1D} \title{ Calculates Advective Velocities of the Pore Water and Solid Phase in a Water Saturated Sediment assuming Steady State Compaction } \description{ This function calculates the advective velocities of the pore water and the solid phase in a sediment based on the assumption of steady state compaction. The velocities of the pore water (\code{u}) and the solid phase (\code{v}) are calculated in the middle (\code{mid}) of the grid cells and the interfaces (\code{int}). One needs to specify the porosity at the interface (\code{por.0}), the porosity at infinite depth (\code{por.inf}), the porosity profile (\code{por.grid}) encoded as a 1D grid property (see \code{\link{setup.prop.1D}}, as well as the advective velocity of the solid phase at one particular depth (either at the sediment water interface (\code{v.0}) or at infinite depth (\code{v.inf})). } \usage{setup.compaction.1D(v.0 = NULL, v.inf = NULL, por.0, por.inf, por.grid)} \arguments{ \item{v.0 }{advective velocity of the solid phase at the sediment-water interface (also referred to as the sedimentation velocity); if \code{NULL} then \code{v.inf} must not be \code{NULL} [L/T] } \item{v.inf }{advective velocity of the solid phase at infinite depth (also referred to as the burial velocity); if \code{NULL} then \code{v.0} must not be \code{NULL} [L/T] } \item{por.0 }{porosity at the sediment-water interface } \item{por.inf }{porosity at infinite depth } \item{por.grid }{porosity profile specified as a 1D grid property (see \code{\link{setup.prop.1D}} for details on the structure of this list) } } \value{ A list containing: \item{u }{list with pore water advective velocities at the middle of the grid cells (\code{mid}) and at the grid cell interfaces (\code{int}). } \item{v }{list with solid phase advective velocities at the middle of the grid cells (\code{mid}) and at the grid cell interfaces (\code{int}). } } \author{ Filip Meysman , Karline Soetaert } \examples{ # setup of the 1D grid L <-10 grid <- setup.grid.1D(x.up=0,L=L,N=20) # attaching an exponential porosity profile to the 1D grid # this uses the "p.exp" profile function por.grid <- setup.prop.1D(func=p.exp,grid=grid,y.0=0.9,y.inf=0.5,x.att=3) # calculate the advective velocities dummy <- setup.compaction.1D(v.0=1, por.0=0.9, por.inf=0.5, por.grid=por.grid) u.grid <-dummy$u v.grid <-dummy$v # plotting the results par(mfrow=c(2,1),cex.main=1.2,cex.lab=1.2) matplot(por.grid$int,grid$x.int,pch=19,ylim=c(L,0), xlim=c(0,1), xlab="",ylab="depth [cm]",main=expression("porosity"),axes=FALSE) abline(h = 0) axis(pos=0, side=2) axis(pos=0, side=3) matplot(u.grid$int,grid$x.int,type="l",lwd=2,col="blue",ylim=c(L,0), xlim=c(0,max(u.grid$int,v.grid$int)), xlab="",ylab="depth [cm]",main=expression("advective velocity [cm yr-1]"), axes=FALSE) abline(h = 0) axis(pos=0, side=2) axis(pos=0, side=3) lines(v.grid$int,grid$x.int,lwd="2",col="red") legend(x="bottomright", legend=c("pore water","solid phase"), col=c("blue","red"),lwd=c(2,2)) } \references{ Meysman, F. J. R., Boudreau, B. P., Middelburg, J. J. (2005) Modeling Reactive Transport in Sediments Subject to Bioturbation and Compaction. Geochimica Et Cosmochimica Acta 69, 3601-3617 } \keyword{utilities}