Dig a trench deep enough to contain your brush pile. Start small -- a small fire is easier to manage than a large one. Dig your trench in your garden's location to save labor and make it easier to incorporate the biochar into the soil later.
Loosen the soil at the bottom of the trench with a pitchfork or shovel. This technique, called "double digging," encourages plant roots to grow deeper and results in a healthier, more productive garden.
Dump your brush into the trench and arrange the materials so that there's some airflow between them.
Light your brush with matches or a lighter. You may need to use smaller twigs as kindling to get the fire going.
Watch the fire closely. The key to producing the best biochar is in the color of the smoke. Initially, the fire will produce white smoke, which is mostly water vapor. The white smoke transitions to a yellowish color as the resins and sugars in the wood burn. Finally, the smoke will grow thinner and more of a grayish blue.
Cover the fire with about 1 inch of soil after the smoke changes to grayish blue. This restricts the oxygen supply and puts a damper on the fire.
Put out the fire with water once the wood has smoldered into charcoal chunks.
Dig the biochar into your soil. Add compost and fertilizer if desired. Dig and turn the soil thoroughly to make sure everything is well-incorporated.