Removing inorganic scale and other acid-soluble materials in the presence of a particulate pack can sometimes result in unwanted alterations to the particulate pack. Methods for removing inorganic scale can comprise: introducing a descaling agent comprising an N-(phosphonoalkyl)iminodiacetic acid or any salt thereof into a wellbore in fluid communication with a particulate pack, an inorganic scale being present in the wellbore or in the particulate pack; contacting the descaling agent with the particulate pack and the inorganic scale; and removing at least a portion of the inorganic scale using the N-(phosphonoalkyl)iminodiacetic acid or any salt thereof without substantially affecting the particulate pack.