Preheat the oven to 180°C / 160°C fan assisted / gas mark 4 / 350°F.
Line and grease 2 x 18cm (7 inch) round cake tins.
Melt the chocolate in a double boiler or a small bowl set over a pan of simmering water. Set aside whilst you prepare the rest of the batter.
Sift together the flour, cocoa, bicarbonate of soda, baking powder and salt in a medium sized mixing bowl then set aside.
Break the eggs into a large mixing bowl and add in the brown sugar, olive oil and vanilla extract. Whisk together until smooth.
Pour the melted chocolate into the rest of the wet ingredients.
Add in the flour mixture and mix to create a thick chocolate batter.
Boil water in a kettle then measure out the right amount into a medium sized jug. Whisk in the espresso powder until dissolved.
Pour the hot coffee mixture into the chocolate batter and mix until smoothly combined.
Divide the chocolate batter into your prepared cake tins and bake for 25 minutes. Remove from the oven when the sponge is just starting to pull away from the sides of the tins and an inserted skewer comes out clean.
Allow the sponges to rest for 5 minutes in the tin before carefully removing onto wire racks to completely cool before frosting.