Index: DamEngine/trunk/doc/Dam Engine - Functional Design/REQDataGenerationWater.tex =================================================================== diff -u -r1279 -r1552 --- DamEngine/trunk/doc/Dam Engine - Functional Design/REQDataGenerationWater.tex (.../REQDataGenerationWater.tex) (revision 1279) +++ DamEngine/trunk/doc/Dam Engine - Functional Design/REQDataGenerationWater.tex (.../REQDataGenerationWater.tex) (revision 1552) @@ -23,6 +23,7 @@ \end{enumerate} \section{Schematisation of the phreatic plane}\label{sec:PhreaPlane} + There are currently two different approaches to the schematisation of the position of the phreatic plane: : \begin{enumerate} \item ExpertKnowledgeRRD Index: DamEngine/trunk/doc/Dam Engine - Functional Design/UseWBIPipingKernel.tex =================================================================== diff -u -r1544 -r1552 --- DamEngine/trunk/doc/Dam Engine - Functional Design/UseWBIPipingKernel.tex (.../UseWBIPipingKernel.tex) (revision 1544) +++ DamEngine/trunk/doc/Dam Engine - Functional Design/UseWBIPipingKernel.tex (.../UseWBIPipingKernel.tex) (revision 1552) @@ -1,23 +1,158 @@ -\chapter{Use of WBI piping kernel} -\label{sec:UseDAMPipingKernel} +\chapter{Use of WBI piping kernel} \label{sec:UseWBIPipingKernel} Functional designs -The functional design of the WBI piping kernel is described in \citep{WBIFOPipingKernel} +The functional design of the WBI piping kernel is described in \citep{PipingKernel_FunctionalDesign}. The WBI use of the piping kernel consists of three sub failure mechanisms: uplift, heave and backward erosion. The complete calculation is done by: \begin{enumerate} \item The calculation of the uplift safety by determining the vertical balance of weight of the subsoil and the waterpressure at the top of the aquifer. \item The calculation of heave by checking the maximal gradient over the vertical waterflow at the uplift location. Heave is the vertical sand transport through the horizontal pipes towards the location of uplift breaching (the exit location.)The thickness layer is the distance where over heave occurs. -\item Checking the presence of sufficient horizontal seepage length (kwelweglengte) -\item Determiniation of the piping safety factor by dividing the required seepage length by the present seepage length. +\item The calculation of internal erosion with Sellmeijer revised. +%\item Checking the presence of sufficient horizontal seepage length (kwelweglengte) +%\item Determiniation of the piping safety factor by dividing the required seepage length by the present seepage length. \end{enumerate} -\textit{\textcolor[rgb]{0.65,0.16,0}UpliftCriterionPiping} +The use by DAM of these functions is described in following paragraphs. +\section{Uplift (uplift safety)}\label{sec:Uplift} +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) & \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 +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 + \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}. +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 +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) & \textit{\textcolor[rgb]{0.65,0.16,0}{PolderLevel}} \\ \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} + +\section{Internal erosion (backward erosion)}\label{sec:InternalErosion} + +The kernel facilitates the models Bligh, Sellmeijer both in original as revised (WTI2011)form. For now the use by DAM is restricted to Sellmeijer revised (WTI 2011) +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) &\textit{\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:PiezHeadUpliftLocation} \\ \hline +m$_{p}$ & - & model factor piping & ? \\ \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} + + +%\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{Determination of Soil related parameters} \label{sec:DeterminationSoilParameters} + Index: DamEngine/trunk/doc/Dam Engine - Functional Design/DAM Engine - Functional Design.pdf =================================================================== diff -u -r1542 -r1552 Binary files differ