Use this css for search type 1 and 2.

#adv-search-1 #search_location {
display:none;
} 

.map_icon {
position: relative;
display: none;
}

.adv-search-1 {
width: 149%;
}

No location field in search over header

No location field in Half Map filters

Remove location for Advanced Search shortcode:

.adv_search_sh {
display: none;
}

.map_icon,
#search_location_filter_shortcode {
display: none;
}