Scavenge fires occurs when the oil and carbon particles from the engine cylinder accumulates in the scavenge space. This partially burned oil and carbon particles are generated as a result of numerous factors. The chief among these factors are leaky or defective injector, improper setting of fuel timing, usage of low grade of fuel, insufficient supply of scavenge air, chocked exhaust, overloading of the engine, piston rings leakage, defect in cylinder liner and improper lubrication.
These carbon particles along with the half burned oil gets concentrated in the scavenge spaces where they get heated due to high temperatures. This mixture in presence of a limited supply of air and an ignition source can lead to massive fires. This ignition can be high temperature particles or a spark from the leaky piston rings. In this way the initiation of scavenge fire occurs.
Take a look at the sketch below and you will clearly understand the scavenge system setup on ships. The diagram is clearly labelled and self descriptive

click to enlarge