Here is a solution that should output a newly indexed array.
$result = array_deflate( explode( $delim, $array) );
function array_deflate( $arr, $emptyval='' ){
    $ret=[];
    for($i=0,$L=count($arr); $i<$L; ++$i)
        if($arr[$i] !== $emptyval) $ret[]=$arr[$i];
    return $ret;
}
While fairly similar to some other suggestion, this implementation has the benefit of generic use. For arrays with non-string elements, provide a typed empty value as the second argument. 
array_deflate( $objArray, new stdClass() );
array_deflate( $databaseArray, NULL );
array_deflate( $intArray, NULL );
array_deflate( $arrayArray, [] );
array_deflate( $assocArrayArray, [''=>NULL] );
array_deflate( $processedArray, new Exception('processing error') );
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With an optional filter argument..
function array_deflate( $arr, $trigger='', $filter=NULL, $compare=NULL){
    $ret=[];
    if ($filter === NULL) $filter = function($el) { return $el; };
    if ($compare === NULL) $compare = function($a,$b) { return $a===$b; };
    for($i=0,$L=count($arr); $i<$L; ++$i)
        if( !$compare(arr[$i],$trigger) ) $ret[]=$arr[$i];
        else $filter($arr[$i]);
    return $ret;
}
With usage..
function targetHandler($t){ /* .... */ }    
array_deflate( $haystack, $needle, targetHandler );
Turning array_deflate into a way of processing choice elements and removing them from your array. Also nicer is to turn the if statement into a comparison function that is also passed as an argument in case you get fancy.
array_inflate being the reverse, would take an extra array as the first parameter which matches are pushed to while non-matches are filtered.
function array_inflate($dest,$src,$trigger='', $filter=NULL, $compare=NULL){
    if ($filter === NULL) $filter = function($el) { return $el; };
    if ($compare === NULL) $compare = function($a,$b) { return $a===$b; };
    for($i=0,$L=count($src); $i<$L; ++$i)
        if( $compare(src[$i],$trigger) ) $dest[]=$src[$i];
        else $filter($src[$i]);
    return $dest;
}
With usage..
$smartppl=[];    
$smartppl=array_inflate( $smartppl,
                         $allppl,
                         (object)['intelligence'=>110],
                         cureStupid,
                         isSmart);
function isSmart($a,$threshold){
    if( isset($a->intellgence) )    //has intelligence?
        if( isset($threshold->intellgence) )    //has intelligence?
            if( $a->intelligence >= $threshold->intelligence )
                return true;
            else return INVALID_THRESHOLD; //error
        else return INVALID_TARGET; //error
    return false;
}
function cureStupid($person){
    $dangerous_chemical = selectNeurosteroid();
    applyNeurosteroid($person, $dangerous_chemical);
    if( isSmart($person,(object)['intelligence'=>110]) ) 
        return $person;
    else 
        lobotomize($person);
    return $person;
}
Thus providing an ideal algorithm for the world's educational problems. Aaand I'll stop there before I tweak this into something else..