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Generalising work of La Bret\`eche, Browning and Peyre and of the author, wedescribe the geometry required by Manin's principle and Peyre's conjecture fora family of conic bundle surfaces containing Ch\^atelet surfaces. Thesesurfaces $S_{a,F}$ are the conic bundle surfaces obtained as smooth minimalproper model of $$ Y^2-aZ^2=F(X,1) $$ with $a \in \mathbf{Z}$ squarefree and $F\in \mathbf{Z}[x_1,x_2]$ a binary form of \textit{even} degree $n$ withoutrepeated roots and whose irreducible factors over $\mathbf{Q}$ remainirreducible over $\mathbf{Q}\left( \sqrt{a} \right)$.

Description de torseurs quasi-versels pour une famille de surfaces fibr\'ees en coniques