Hi. Although there are always a lot of variations between a typical kanji (漢字) and its kana (仮名), in my personal point of view, the name would possibly be, Minazuki Naoki = 水無月　直樹、where 水 = みず ＝》み (mi) 無 = な (na) 月 = つき ＝》づき (zuki) [i.e., sound change from clear to muddy at the beginning after certain combinations] 直 = なお (nao) 樹 = き (ki) Take care, and good day. / 気をつけて。良い 一日を。