The spelling of the word "cadwell" can be explained using the International Phonetic Alphabet (IPA). The first syllable is pronounced with a "k" sound, represented by the IPA symbol /k/. The second syllable has a "d" sound, represented by /d/. The following "w" sound is denoted by /w/, and the final syllable has a "ell" sound, represented by /ɛl/. Therefore, the correct spelling of the word is "Cadwell," with no variations in the placement or spelling of its letters.