First of all you need at least the rank of 'Novice' in the Tibian explorer society. Pay a visit to the NPC 'Angus' in Port hope and join the society, he will then ask you to bring him a dwarven pickaxe (easiest way is to buy it from the market).
If you don't want to buy the pickaxe from the market or it is currently not available this is the easiest way to obtain it
"You can ask Uzgod in Kazordoon for a dwarven pickaxe, to which he will reply that he will exchange one for his beloved Family Brooch (you must talk to him before you can get it). Go to Dwacatra, near the main gate, and search for a hole in the center of the prison. Down there are 3 Dwarf Soldiers and 1 Dwarf Guard. Kill them and find the Family Brooch in the sealed door on the south. Go back to Uzgod and turn in the brooch to receive the pickaxe.
If you choose to go to Dwacatra you will need a Shovel and Key 3802."
Turn in the pickaxe to Angus and you are now a member with the Novice rank of the explorer society.
You can now talk to Wyrdin (located in the middle of Edron Ivory towers) and ask him for a mission, he will then send you to retrieve some research notes from Timothy in Yalahar (north of depot). Talk to Captain Max in Liberty bay (east of the boat, on another boat) which will ask you for 500gp for a ride to Yalahar. Grab the notes from Timothy and bring them back to Wyrdin for a 500 gp reward, (you do not need to bring back the research notes for any further advancement in any other quest).