The name Asiel occurs only one time in the Bible. He's mentioned in a genealogy of Simeon as the father of Seraiah (1 Chronicles 4:35).
The name Asiel consists of two elements:
2) The name Asiel ends with (El), the common abbreviation of Elohim, the genus God.
For a meaning of the name Asiel, NOBS Study Bible Name List reads God Has Made.
Jones' Dictionary of Old Testament Proper Names suggests Created Of God.
(El), the common abbreviation of 
