The invention relates to a method for obtaining a structure made from a porous ceramic material containing at least 95% silicon carbide SiC, said method being characterised in that the structure is obtained from a mixture of SiC grains comprising at least: a first fraction of α-SiC grains having a median diameter of less than 5 micrometers, a second fraction of α-SiC grains having a median diameter which is at least twice that of the first fraction of α-SiC grains and is greater than or equal to 5 micrometers, and a fraction of β-SiC grains or at least one precursor of β-SiC grains. The invention also relates to the resulting porous structure.