From 85648a9eae6fe7d36079f1a820edf260e3f3d16a Mon Sep 17 00:00:00 2001
From: "Edgar P. Burkhart" <git@edgarpierre.fr>
Date: Thu, 17 Feb 2022 16:00:22 +0100
Subject: [PATCH] Biblio: submerged blocks equations

---
 biblio/chapters/literature.tex | 20 +++++++++++++++++++-
 1 file changed, 19 insertions(+), 1 deletion(-)

diff --git a/biblio/chapters/literature.tex b/biblio/chapters/literature.tex
index 2cd4b59..9c11206 100644
--- a/biblio/chapters/literature.tex
+++ b/biblio/chapters/literature.tex
@@ -439,11 +439,24 @@ porosity induced friction.
 \subsection{Models}
 
 \cite{nott1997extremely}
-\cite{nott2003waves}
+
+\cite{nott2003waves} Submerged boulder:
+\begin{equation}
+u^2 \ge \frac{2\left(\rho_s-\frac{\rho_s}{\rho_w}\right)ag}
+{C_d\left(\frac{ac}{b^2}\right)+C_l}
+\end{equation}
+
 \cite{imamura2008numerical}
 \cite{barbano2010large}
 \cite{nandasena2011numerical}
+
 \cite{nandasena2011reassessment}
+\begin{equation}
+u^2 \ge \frac{2\left(\frac{\rho_s}{\rho_w}-1\right) gc
+\left(\cos\theta+\frac{c}{b}\sin\theta\right)}
+{C_d\frac{c^2}{b^2}+C_l}
+\end{equation}
+
 \cite{buckley2012inverse}
 \cite{weiss2012mystery}
 \cite{nandasena2013boulder}
@@ -453,7 +466,12 @@ porosity induced friction.
 \cite{kennedy2016observations}
 \cite{kennedy2017extreme}
 \cite{weiss2017toward}
+
 \cite{bressan2018laboratory}
+\begin{equation}
+u^2 \ge \frac{2b_wW}{\rho_w\left(b_DC_DA_{wfs}+b_LC_LA_{wbs}\right)}
+\end{equation}
+
 \cite{lodhi2020role}
 \cite{oetjen2020significance}