Index: DamEngine/branches/DamEngine 19.1/doc/Dam Engine - Functional Design/UseWBIPipingKernel.tex =================================================================== diff -u -r2707 -r2708 --- DamEngine/branches/DamEngine 19.1/doc/Dam Engine - Functional Design/UseWBIPipingKernel.tex (.../DamEngine 19.1 Obsolete/doc/Dam Engine - Functional Design/UseWBIPipingKernel.tex) (revision 2707) +++ DamEngine/branches/DamEngine 19.1/doc/Dam Engine - Functional Design/UseWBIPipingKernel.tex (.../DamEngine 19.1/doc/Dam Engine - Functional Design/UseWBIPipingKernel.tex) (revision 2708) @@ -10,45 +10,47 @@ \item Determiniation of the piping safety factor by dividing the required seepage length by the present seepage length. \end{enumerate} +Note that the seepage length is calculated by (XExit - XEntry) + DistanceToEntryPoint. XExit is the exit point (point where the uplift is located), XEntry is the location of the dike toe at riverside and DistanceToEntryPoint is an optional user defined value, default 0. + The use by DAM of these functions is described in following paragraphs. \section{Uplift (uplift safety)}\label{sec:Uplift} For the uplift calculation DAM uses the DAM uplift calculation described in \autoref{sec:UpliftCalculation} -This function of the kernel is decribed in paragraph 3.3 in \citep{PipingKernel_FunctionalDesign}. +%This function of the kernel is decribed in paragraph 3.3 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$_{exit}$ & 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) & \\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} +%\end{table} +% +%Output of the kernel for the uplift safety calculation is: +%\begin{itemize} + %\item Z$_u$ (limit state function value) + %\item FoS$_{u}$ (factor of safety) + %\item $\Delta \Phi _{c,u}$ (critical head difference for uplift) + %\item h$_{c,u}$(critical water level for uplift) + %\item D$_{cover,i}$ (effective thickness of the cover layer at exit point) + %\item $\gamma _{eff}$(effective stress at the exit point) + %\item h$_{exit}$(piezometric head at the exit point) +%\end{itemize} -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$_{exit}$ & 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) & \\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} -\end{table} - -Output of the kernel for the uplift safety calculation is: -\begin{itemize} - \item Z$_u$ (limit state function value) - \item FoS$_{u}$ (factor of safety) - \item $\Delta \Phi _{c,u}$ (critical head difference for uplift) - \item h$_{c,u}$(critical water level for uplift) - \item D$_{cover,i}$ (effective thickness of the cover layer at exit point) - \item $\gamma _{eff}$(effective stress at the exit point) - \item h$_{exit}$(piezometric head at the exit point) -\end{itemize} - \section{Heave}\label{sec:Heave} This function of the kernel is decribed in paragraph 3.4 in \citep{PipingKernel_FunctionalDesign}. @@ -60,9 +62,9 @@ \centering \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 & - & gradient at exit point & calculated based on the damping factor \\ \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 +D$_{cover}$ & m & total thickness of the cover sublayer & calulated, see \\ \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} @@ -90,12 +92,13 @@ \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 +h & m & river water level (above reference level NAP) & WaterHeight (when using scenarios) \\ \hline +h$_{exit}$ & m & phreatic level at the exit point (above reference level NAP) & calculated +\\ \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 +D$_{cover}$ & m & total thickness of the cover layer at the exit point & calculated \\ \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 @@ -105,8 +108,8 @@ 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 +D & m & thickness of the aquifer & calculated \\ \hline +L & m & seepage length & calculated \\ \hline \end{tabular} \caption{Input paramaters Internal erosion} \label{tab:InputParametersInternalErosion}