Index: DamEngine/trunk/doc/Dam Engine - Functional Design/UseWBIPipingKernel.tex
===================================================================
diff -u -r1552 -r1557
--- DamEngine/trunk/doc/Dam Engine - Functional Design/UseWBIPipingKernel.tex	(.../UseWBIPipingKernel.tex)	(revision 1552)
+++ DamEngine/trunk/doc/Dam Engine - Functional Design/UseWBIPipingKernel.tex	(.../UseWBIPipingKernel.tex)	(revision 1557)
@@ -25,14 +25,15 @@
 		\begin{tabular}{|p{20mm}|p{20mm}|p{50mm}|p{50mm}|} \hline
 \textbf{Symbol}& \textbf{Unit}  & \textbf{Description} & \textbf{Value in DAM}  \\ \hline
 h$_{exit}$		 & m	 & phreatic level at the exit point (above reference level NAP)     & calculated, see \autoref{sec:PiezHeadUpliftLocation}    \\ \hline
-$\Phi _{polder}$ & m & piezometric head in the hinterland (above reference level NAP) & \textit{\textcolor[rgb]{0.65,0.16,0}{PolderLevel}} \\ \hline
-$\Phi _{(exit)}$         & m     & piezometric head at the exit point (above reference level NAP)  & calculated, see \autoref{sec:PiezHeadUpliftLocation} \\  \hline
+$\Phi _{polder}$ & m & piezometric head in the hinterland (above reference level NAP) & \textit{\textcolor[rgb]{0.65,0.16,0}{HeadPl2}}\ \\ \hline
+$\Phi _{exit}$         & m     & piezometric head at the exit point (above reference level NAP)  & calculated, see \autoref{sec:PiezHeadUpliftLocation} \\  \hline
 r$_{exit}$               &       & damping factor at the exit point  &  calculated, see \autoref{sec:PiezHeadUpliftLocation}  \\ \hline
 m$_{u}$        & -   & model factor uplift &   ?    \\ \hline
 D$_{cover,i}$	    & m    & thickness of the cover sublayer i at the exit point &  calculated, see \autoref{sec:DeterminationSoilParameters}   \\ \hline
 $\sigma_{eff}$ &	kN/m$^{2}$ & effective vertical stress at the bottom of the cover layer & calculated, see \autoref{sec:DeterminationSoilParameters}  \\ \hline
 $\gamma_{eff,cover,i}$   & kN/m$^{3}$ & effective volumetric weight of cover sublayer i  & calculated, see \autoref{sec:DeterminationSoilParameters} \\ \hline
 $\gamma_{water}$  & kN/m$^{3}$  & volumetric weight of water &  9.81  \\ \hline
+$\gamma$          & m     & leakage length on the landside of the dike (hinterland)    & New input for DAM \\ \hline
 		\end{tabular}
 	\caption{Input paramaters}
 	\label{tab:InputParametersUplift}
@@ -63,7 +64,7 @@
 i$_{c,h}$                & -     & critical exit gradient & calculated based on the damping factor\\ \hline
 D$_{cover}$	    & m     & total thickness of the cover sublayer &  calulated, see \autoref{sec:DeterminationSoilParameters}   \\ \hline	
 h$_{exit}$ & m NAP & piezometric head at the exit point & output kernel 	\\ \hline	
-$\Phi _{polder}$ & m & piezometric head in the hinterland (above reference level NAP) & \textit{\textcolor[rgb]{0.65,0.16,0}{PolderLevel}} \\ \hline	
+$\Phi _{polder}$ & m & piezometric head in the hinterland (above reference level NAP) & c\textit{\textcolor[rgb]{0.65,0.16,0}{HeadPl2}}\\ \hline	
 		\end{tabular}
 	\caption{Input paramaters Heave}
 	\label{tab:InputParametersHeave}
@@ -122,37 +123,16 @@
 \end{itemize}
 
 
-%\begin{table*}[h]
-	%\centering
-		%\begin{tabular}{|p{20mm}|p{20mm}|p{50mm}|p{50mm}|} \hline
-			%Symbol            & Unit  & Description                                   &Value in DAM               \\ \hline
-%$\Phi _{(X)}$            & m     & piezometric head at a horizontal coordinate x                 &                                  \\ \hline
-%$\Phi _{(toe)}$          & m     & piezometric head at the levee toe (above reference level NAP) &                                  \\ \hline
-%r$_{toe}$                &       & damping factor at the levee toe  &                                                               \\ \hline
-%m$_{u}$                  &       & model factor uplift            &                                                                 \\ \hline
-%m$_{p}$                  &       & model factor piping (applied with Sellmeijer models)   &                                         \\ \hline
-%D$_{cover,i}$	           & m     & thickness of the cover layer of sublayer i&                                                      \\ \hline
-%$\gamma_{eff,cover,i}$   & kN/m$^{3}$    & effective volumetric weight of cover sublayer i  &                                       \\ \hline
-%$\gamma_{wate}$          & kN/m$^{3}$    & volumetric weight of water (= 9.81) &                                                    \\ \hline
-%D$_{cover}$              & m     & total thickness of the cover layer at the exit point   &                                         \\ \hline
-%ic,h                     & -     & critical exit gradient       &                                                                   \\ \hline
-%C$_{creep}$              & -     & Bligh’s creep factor         &                                                                   \\ \hline
-%d$_{50}$                 & m     & median the aquifer’s grain size distribution (for use with Bligh)    &                           \\ \hline
-%$\eta$                   & -     & White’s drag coefficient (= 0.25)         &                                                      \\ \hline
-%L$_{horizontal}$       & m     & horiziontal seepage length (Lane)  &                                                               \\ \hline
-%L$_{vertical}$         & m     & vertical seepage length (Lane)    &                                                                \\ \hline
-%CLane                  & -     & creep factor for Lane’s rule      &                                                                \\ \hline
-%$\gamma$               & m     & leakage length on the landside of the dike (hinterland)    &                                   
-		%\end{tabular}
-	%\caption{Input paramaters}
-	%\label{tab:InputParametersUplift}
-%\end{table*}
 
-\section{Piezometric head an uplift location}\label{sec:PiezHeadUpliftLocation}
-The kernel needs the piezometric head in the aquifer.
-The aquifer is indicated in DAM by the material parameter 'Is aquifer'. For the initial schematisation of the piezometric heads for the stability calculation see \autoref{sec:InitialPiezoHeads}.
-For piping the 
+\section{Piezometric head and uplift location}\label{sec:PiezHeadUpliftLocation}
+The kernel needs the piezometric head in the aquifer. Herefore the demping factor r$_{toe}$ is required input. This is the damping factor defined by formula 3.1 in functional design kernel. In the WBI software this is an user defined input paramater. In DAM r$_{toe}$ can be calculated from the DAM input \textit{\textcolor[rgb]{0.65,0.16,0}{DampingFactorPl3}} (or \textit{\textcolor[rgb]{0.65,0.16,0}{DampingFactorPl4}} if PL4 is present): 
 
+\begin{align} \label{eq_dempingsfactor}
+% if PL2 and Phi polder are not the same r_{toe}= \frac{(h- (\textit{\textcolor[rgb]{0.65,0.16,0}{DampingFactorPl3}} * (h - \textit{\textcolor[rgb]{0.65,0.16,0}{HeadPl2}})))-\Phi _{polder}}{ h - \Phi _{polder}}
+r_{toe} = 1 - \textit{\textcolor[rgb]{0.65,0.16,0}{DampingFactorPl3}}
+\end{align}
 
-\section{Determination of Soil related parameters} \label{sec:DeterminationSoilParameters}
+In the WBI piping kernel is an assumption made for the distribution ot the piezomeric head in the aquifer at different x locations. This requires a leakage length $\lambda$. This is a user defined parameter (new to DAM).
 
+\section{Determination of soil parameters}\label{sec:DeterminationSoilParameters}
+The kernel requires
