Birmingham - Bus & Train Day Ticket?

[The Gauge]

Is there a day ticket I can buy for travelling around Birmingham by bus and train?

I'm staying at Somers Wood caravan site at Meriden Covernty soon and I will want to go into Birmingham city centre on one of the days.
There's an X1 bus goes from near the caravan site to Birmingham International train station, where I can then get a train to New St. Then the same to return back to the site.

Can I buy a day ticket to cover all my bus & train travel for that day?