How to Pray When One Lacks Both Means of Purification or One of Them

His second question is: How does a prisoner pray when it is difficult for him to obtain water, and how does he purify himself from major ritual impurity if it befalls him?
Answer: The prisoner has different circumstances: if he is able to perform wudu and clean himself with stones, then praise be to Allah. If he is not able, he performs tayammum, and there is no blame on him for that. The point is that the situation of the prisoner requires detailed consideration.
The presenter: So he can purify himself to the extent of his ability.
The Shaykh: There is nothing wrong with that. If the prisoner has water and is able to access it, he performs wudu for minor ritual impurity and takes a full ritual bath for major ritual impurity, just like other people. If it is not possible, and he has no water and cannot access it, he purifies himself from ritual impurities using handkerchiefs or the like. He wipes with a handkerchief three times or more, or with a stone, or with a piece of wood, or with other dry, pure solids, until he cleans the area. He cleans the anus and the penis of the traces of urine and feces three times or more, not less than three, meaning an odd number, three or more, until he cleans the area. Then he performs the wudu for prayer. He wipes for the wudu of prayer if he obtains water, and he washes for major ritual impurity if he is in a state of major ritual impurity, using water. If water does not become available to him and he is prevented from accessing water, he performs tayammum with dust. He strikes the ground with his hands and wipes his face and his hands with the dust, intending it for major ritual impurity and intending it for minor ritual impurity. That is sufficient for him. One tayammum suffices for both, for both minor and major ritual impurity.
The presenter: What if he is also unable to access dust?
The Shaykh: If he is unable to do that, it is sufficient. He prays according to his circumstances [al-Taghabun:16] without water or tayammum [al-Taghabun:16].