New underground cavities of drilling method

The invention relates to a drilling method of cavities in subsurface formations comprising a discharge step of the drill cuttings to implement an aqueous fluid in the form of a foam obtained by mixing: - an aqueous composition ( ci) comprising per 100% by mass: - from 0.5% by mass to 25% by mass of a compound of formula (I): wherein n represents an integer equal to 1 or 2, R represents an aliphatic hydrocarbon radical, linear or branched, saturated or unsaturated eight to eighteen carbon atoms, M represents a monovalent cation and M ', identical to or different from M, represents a hydrogen atom or a monovalent cation; or a mixture of compounds of formula (I), and - from 75% to 99.5% by mass of water, - with a gas or mixture of gases selected from air, nitrogen dioxide or carbon.