I suggest you look into array_filter()
. Also you want to use today's date at 12:00:00 for the comparisson, not the current time.
$array = array(
'1/10/2014',
'1/11/2014',
'1/12/2014',
'1/13/2014',
'1/14/2014'
);
$array = array_filter($array,function($date){
return strtotime($date) >= strtotime('today');
});
print_r($array); //Array ( [2] => 1/12/2014 [3] => 1/13/2014 [4] => 1/14/2014 )
*Note: PHP 5.3 needed for anonymous functions