Index: DamEngine/trunk/doc/Dam Engine - Functional Design/FODAMPipingKernel.tex
===================================================================
diff -u -r1557 -r2220
--- DamEngine/trunk/doc/Dam Engine - Functional Design/FODAMPipingKernel.tex	(.../FODAMPipingKernel.tex)	(revision 1557)
+++ DamEngine/trunk/doc/Dam Engine - Functional Design/FODAMPipingKernel.tex	(.../FODAMPipingKernel.tex)	(revision 2220)
@@ -7,9 +7,22 @@
 \begin{enumerate}
 	\item Sellmeijer 4 krachten model
 	\item Sellmeijer (VNK)
+	\item Sellmeijer revised(WBI)
 	\item Bligh
 \end{enumerate}
 
+
+\section{Rekenregel van Bligh}
+\label{sec:RekenregelVanBligh}
+Hier wordt gebruik gemaakt van de standaard piping regel van Bligh met een creep factor van 18:
+
+\begin{figure}[H]
+	\centering
+		\includegraphics[width=0.2\textwidth]{pictures/piping7.png}
+	\label{fig:piping7}
+\end{figure}
+
+
 \section{Sellmeijer 4 krachten model}
 \label{sec:Sellmeijer4KrachtenModel}
 
@@ -57,12 +70,82 @@
 	\label{fig:piping6}
 \end{figure}
 
-\section{Rekenregel van Bligh}
-\label{sec:RekenregelVanBligh}
-Hier wordt gebruik gemaakt van de standaard piping regel van Bligh met een creep factor van 18:
+\section{Sellmeijer revised (WBI)}\label{sec:SellmeijerRevised}
 
-\begin{figure}[H]
+Sellmeijer revised (WBI) consists of three sub failure mechanisms: uplift, heave and backward erosion. 
+
+\subsection{Uplift (uplift safety)}\label{sec:Uplift}
+For the uplift calculation DAM uses the DAM uplift calculation described in \autoref{sec:UpliftCalculation}
+
+\subsection{Heave}\label{sec:Heave}
+This function of the kernel is decribed in paragraph 3.4 in \citep{PipingKernel_FunctionalDesign}.
+
+In DAM is assumed that heave always occurs, until the connection to the WBI piping kernel is extended to the complete version (also adeptions in DAM UI)
+
+Input of the kernel consists of:
+
+\begin{table}[H]
 	\centering
-		\includegraphics[width=0.2\textwidth]{pictures/piping7.png}
-	\label{fig:piping7}
-\end{figure}
\ No newline at end of file
+		\begin{tabular}{|p{20mm}|p{20mm}|p{50mm}|p{50mm}|} \hline
+\textbf{Symbol}            & \textbf{Unit}  & \textbf{Description}    &\textbf{Value in DAM   }            \\ \hline
+i                 & -     & gradient at exit point & calculated based on the damping factor, see \autoref{sec:PipingWaterpressures} \\ \hline
+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) & {\textcolor[rgb]{0.65,0.16,0}{HeadPl2}}\\ \hline
+		\end{tabular}
+	\caption{Input paramaters Heave}
+	\label{tab:InputParametersHeave}
+\end{table}
+
+Output of the kernel for the heave calculation is:
+\begin{itemize}
+	\item Z$_h$ (limit state function value)
+	\item FoS$_{h}$ (factor of safety)
+	\item h$_{c,h}$(critical water level for heave)
+	\item h$_{exit}$(piezometric head at the exit point)
+	\item i (gradient at exit point)
+\end{itemize}
+
+\subsection{Internal erosion (backward erosion)}\label{sec:InternalErosion}
+
+This function of the kernel is decribed in paragraph 3.5 in \citep{PipingKernel_FunctionalDesign}.
+
+Input of the kernel consists of:
+
+\begin{table}[H]
+	\centering
+		\begin{tabular}{|p{20mm}|p{20mm}|p{50mm}|p{50mm}|} \hline
+\textbf{Symbol}& \textbf{Unit}  & \textbf{Description} & \textbf{Value in DAM}  \\ \hline
+h              & m   & river water level (above reference level NAP) &\textcolor[rgb]{0.65,0.16,0}{BoezemLevelTp} or WaterHeight (when using scenarios) \\ \hline
+h$_{exit}$		 & m	 & phreatic level at the exit point (above reference level NAP)     & calculated, see \autoref{sec:PhreaPlane} \\ \hline
+m$_{p}$        & -   & model factor piping &   1.0    \\ \hline
+$\gamma_{water}$  & kN/m$^{3}$  & volumetric weight of water &  9.81  \\ \hline
+r$_{c}$				 & -   & reduction factor providing the fraction of the blanket thickness by which the total head difference is reduced due to hydraulic resistance in the vertical exit channels & 0.3 \\ \hline
+D$_{cover}$    & m     & total thickness of the cover layer at the exit point   & calculated, see \autoref{sec:DeterminationSoilParameters} \\ \hline
+$\gamma_{sub,particals}$ & kN/m$^{3}$  & submerged volumetric weight of sand particles   &       16.5                               \\ \hline
+$\theta_{Sellmeijer,rev.}$  & deg   & bedding angle for Sellmeijer original &      37                                               \\ \hline
+$\eta$                   & -     & White’s drag coefficient        &   0.25                                         					      \\ \hline
+d$_{70}$                 & m     & 70\%-fractile of the aquifer’s grain size distribution   &  from soilmaterials.mdb               \\ \hline
+d$_{70m}$                & m     & d70-reference value in Sellmeijer, revised    &    2.08E-4                                       \\ \hline
+$\kappa$                 & m$^{2}$     & intrinsic permeability      & calculated with  k, $\nu_{water}$ and g                      \\ \hline
+k                        & m/s         & hydraulic conductivity (Darcy)          & from soilmaterials.mdb                           \\ \hline
+$\nu_{water}$          & m$^{2}$ /s  & kinematic viscosity of water at 10 degrees Celsius   &  1.33 E-6                             \\ \hline
+g                      & m/s$^{2}$   & gravitational constant       & 9.81                                                          \\ \hline
+D				  			       & m		 & thickness of the aquifer	& calculated, see \autoref{sec:DeterminationSoilParameters}  							\\ \hline
+L                      & m     & seepage length                 &  calculated, see \autoref{sec:DeterminationSoilParameters}        \\ \hline
+		\end{tabular}
+	\caption{Input paramaters Internal erosion}
+	\label{tab:InputParametersInternalErosion}
+\end{table}
+
+Output of the kernel for the internal erosion calculation is:
+
+\begin{itemize}
+	\item Z$_p$ (limit state function value)
+	\item FoS$_{p}$ (factor of safety)
+	\item h$_{c,p}$(critical water level for uplift)
+	\item $\Delta$ H$_{c}$ (critical head difference)
+	\item h - $_{exit}$- r$_{c}$D$_{cover}$(reduced head drop this the head drop which is reduced by the head drop over the exit channel)
+\end{itemize}
+
