deletions | additions       diff --git a/section_Methodology_The_stochastic_inversion__.tex b/section_Methodology_The_stochastic_inversion__.tex  index 50be323..8f76a88 100644  --- a/section_Methodology_The_stochastic_inversion__.tex  +++ b/section_Methodology_The_stochastic_inversion__.tex 
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\section{Methodology}   The flowchart of the  stochastic inversionflowchart  that we propose is shown in Figure \ref{fig:workflow}. It is a three step approach. Firstly, many sets of initial realizations are simulated from available static data (well logs, deterministic elastic inversion, etc...) using a geostatistical cosimulation algorithm. Secondly, an optimization loop is applied to each set before modeling CO_2 injection in order to obtain a static model of petrophysical properties that maximize the match between computed and observed seismic  traces. Finally, the resulting models are then combined in an iterative history-matching loop where, for at  each step, we simulate CO_2 injection and transport, compute thecorresponding  elastic properties of the corresponding model,  and run a seismic forward model to calculate the mismatch between simulated and observed traces. In the following sections, we focus on each step of the algorithm.