Based on your comment above, it's fairly straight forward to retrieve the value from the select. In the controller method that handles the route this form is posted to simply use:
$input = Input::get(); or $input = Input::all();
This will retrieve all input values as an array of key/value pairs, with the key being the name of your field/input. If you have set the names of the inputs to match the column names in your database, then you're good to go.
You can also just retrieve the select value on it's own using:
$selectId = Input::get('Select_id'); or $selectId = Input::only('Select_id');
If you wanted to get all input except for the 'Select_id' field, you can use:
$input = Input::except('Select_id');
Once you have your input, you can then use this to create a record in your database.