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