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I endorse Brian's comments regarding the concentration on health aspects. However, judging by the appearance of the water, particularly in the first photo, it seems, at least in part to be sullage from bathing and clothes washing. Don't waste your time and effort and testing the water, you can be sure that it is contaminated and a health hazard and the problem should be addressed. There is a common conception that sullage is not harmful, which is not true.