Let $S$ be an Enriques surface, i.e. a quotient of a K3 surface by a free involution. Enriques surfaces arise as elliptic fibrations $S\rightarrow \mathbb{P}^1$ with 12 singular fibers and 2 double points. 

> **Claim** There exist elliptic surfaces $S_1, S_2$ such that 
we can degenerate the elliptic fibration $S\rightarrow \mathbb{P}^1$ to get 
$$
S_1 \cup_E S_2 \rightarrow \mathbb{P}^1
$$
wherethe intersection $E$ is a common elliptic fiber. 

**Question**
How can I prove this claim? 

More precisely, the elliptic surfaces $S_1, S_2$ are obtained as follows:

Let $E\times \mathbb{P}^1$ be the product of elliptic curve and a projective line. Let $t$ denote the translation by a 2-torsion point on $E$, and let $\iota$ be an involution of $\mathbb{P}^1$. Then $(t_2,\iota)$ is a fixed point free involution on $E\times \mathbb{P}^1$, and we define
$$
S_1:=(E\times \mathbb{P}^1)/\langle (t_2,\iota) \rangle. 
$$
By projecting right, $S_1\rightarrow \mathbb{P}^1/\langle \iota \rangle$ is an elliptic fibration with no singular fibers and 2 double fibers. 

Let $S_2$ be the blow-up of $\mathbb{P}^2$ in 9 points. $S_2$ admits an elliptic fibration 
$S_2\rightarrow \mathbb{P}^1$ with 12 singular fibers and no double fibers.