Way too many quotes in there, you don't need them around the $_POST variable.
$list = array (
array($_POST['some_field'], 'ccc', 'dddd'),
array('123', '456', '789'),
array('"aaa"', '"bbb"')
);
You can append to the file by using 'a'
instead of 'w'
in your fopen
command:
$fp = fopen('file.csv', 'a');
See the manual here.