A flow rate control valve and a method for injecting a fluid into an underground formation are provided. In accordance with the method, the fluid is transported in at least one injection pipe. The injection pipe has a main portion including a single tube. The flow rate control valve has at least ten fluid transport tubes that are arranged in parallel. A ratio of the cross-section of the main portion over the sum of the cross-sections of the fluid transport tubes is less than or equal to 5. A flow rate of the fluid circulating in the injection pipe is adjusted by distributing the fluid through all or only some of the fluid transport tubes. The fluid from the injection pipe is then injected into the underground formation.