PROBLEM$-1[5$ Marks$]$:

$($CLO$4$:SO$1)$

A target depth was set at $7500$ ft with a hole size of $6\mathrm{.}5$ inches. At this depth, the drilling crew noticed that there was a pit gain of $8$ bbls$.$ The well is shut$-$in$,$ and the drill pipe and annulus pressures were recorded as $600$ psi and $700$ psi $,$ respectively. The bottom$-$hole assembly consists of $550$ ft drill collars with an outside diameter of $4\mathrm{.}75$ inches. The drill pipe diameter is $3\mathrm{.}5$ inches. The mud weight is $10\mathrm{.}4$ ppg$.1bbl=5\mathrm{.}614f{t}^3.$

Identify the influx type.

Calculate the new mud weight including an overbalance of $200$ psi $?$