A common way is to have a type map, with all supported types (different connectors/providers supports different types) explicitly mapped. Here is the type map for Dapper:
typeMap = new Dictionary<Type, DbType>();
typeMap[typeof(byte)] = DbType.Byte;
typeMap[typeof(sbyte)] = DbType.SByte;
typeMap[typeof(short)] = DbType.Int16;
typeMap[typeof(ushort)] = DbType.UInt16;
typeMap[typeof(int)] = DbType.Int32;
typeMap[typeof(uint)] = DbType.UInt32;
typeMap[typeof(long)] = DbType.Int64;
typeMap[typeof(ulong)] = DbType.UInt64;
typeMap[typeof(float)] = DbType.Single;
typeMap[typeof(double)] = DbType.Double;
typeMap[typeof(decimal)] = DbType.Decimal;
typeMap[typeof(bool)] = DbType.Boolean;
typeMap[typeof(string)] = DbType.String;
typeMap[typeof(char)] = DbType.StringFixedLength;
typeMap[typeof(Guid)] = DbType.Guid;
typeMap[typeof(DateTime)] = DbType.DateTime;
typeMap[typeof(DateTimeOffset)] = DbType.DateTimeOffset;
typeMap[typeof(byte[])] = DbType.Binary;
typeMap[typeof(byte?)] = DbType.Byte;
typeMap[typeof(sbyte?)] = DbType.SByte;
typeMap[typeof(short?)] = DbType.Int16;
typeMap[typeof(ushort?)] = DbType.UInt16;
typeMap[typeof(int?)] = DbType.Int32;
typeMap[typeof(uint?)] = DbType.UInt32;
typeMap[typeof(long?)] = DbType.Int64;
typeMap[typeof(ulong?)] = DbType.UInt64;
typeMap[typeof(float?)] = DbType.Single;
typeMap[typeof(double?)] = DbType.Double;
typeMap[typeof(decimal?)] = DbType.Decimal;
typeMap[typeof(bool?)] = DbType.Boolean;
typeMap[typeof(char?)] = DbType.StringFixedLength;
typeMap[typeof(Guid?)] = DbType.Guid;
typeMap[typeof(DateTime?)] = DbType.DateTime;
typeMap[typeof(DateTimeOffset?)] = DbType.DateTimeOffset;
typeMap[typeof(System.Data.Linq.Binary)] = DbType.Binary;
To get a relevant DbType, all you need to do is:
var type = typeMap[typeof(string)]; // returns DbType.String
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