16-Civ-B5 Water Supply and Wastewater Treatment · May 2018
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
Paper format. National Examination, May 2018 — 16-Civ-B5 Water Supply and Wastewater Engineering. Three hours, closed book, one two-sided aid sheet and an approved Casio or Sharp calculator permitted. Question 1 is compulsory and candidates attempt any three of Questions 2–5; every question carries 25 marks. Marks are shown at the end of each question and the paper explicitly invites candidates to state any assumptions they make. All five questions are worked below, because the set is a study resource rather than a three-hour sitting.
Reference texts.
Question text not reproduced: the examination questions are © Engineers and Geoscientists BC. Open the official past paper (linked at the top of this page) to read the question, then follow the worked solution below.
Given. A gravimetric suspended-solids determination on a sludge sample, with the four weighings and the sample volume listed below.
| Quantity | Symbol | Value |
|---|---|---|
| Sample volume filtered | V | 25 mL = 0.025 L |
| Clean filter paper | m1 | 1.1234 g |
| Filter + solids, dried at 105 °C | m2 | 1.2345 g |
| Residue after ignition at 550 °C | m3 | 0.0234 g (see note) |
Find. The total suspended solids, the volatile suspended solids and the fixed suspended solids, each expressed in mg/L.
Approach. Total suspended solids are the mass gained by the filter on drying, divided by the volume filtered; ignition at 550 °C burns off the organic fraction and the paper itself, so what remains is the fixed (inorganic) residue; volatile solids are the difference.
Check: unit typo in the source. The paper states the residue after ignition as "0.0234 mg/L", which cannot be a weighing — every other quantity in the sentence is a mass in grams, and a concentration cannot be produced by a balance. The residue is taken as 0.0234 g. This reading is also physically self-consistent: cellulose filter paper is itself combustible, so after ignition at 550 °C the crucible holds only the inorganic ash of the sample, and 0.0234 g against 0.1111 g of total solids gives a volatile fraction of 79 per cent, which is exactly what a municipal sludge should show. (Standard Methods therefore specifies a glass-fibre filter, not paper, for this determination — noted in part (ii).) Solving instead with 0.0234 mg/L read literally would give a fixed fraction of 0.0005 per cent, which is not a real sludge.
Standard Methods specifies 550 ± 50 °C precisely because that temperature is hot enough to burn organic matter completely but not hot enough to decompose the mineral fraction. At 900 °C several additional losses occur and all of them bias the result the same way. Carbonates decompose, principally
$$\mathrm{CaCO_3\xrightarrow{\ \sim 825\,{}^{\circ}\text{C}\ }CaO+CO_2\uparrow}$$with magnesium carbonate going even earlier, so 44 g of carbon dioxide is driven off per 100 g of calcium carbonate present. Magnesium hydroxide and other hydroxides dehydrate; ammonium salts, and chlorides such as magnesium and calcium chloride, volatilise; and some of the crystallisation water bound in the mineral matrix is expelled. The consequence is that the ignition residue is too light, so the fixed suspended solids are underestimated, and because volatile solids are obtained by difference the volatile suspended solids are correspondingly overestimated. Total suspended solids, which are measured before ignition, are unaffected. A chemically precipitated or lime-conditioned sludge, rich in calcium carbonate, could show an apparent volatile fraction inflated by ten percentage points or more, which would in turn make a digester look better fed and less stabilised than it really is. There is also a practical consequence: 900 °C exceeds the rated service temperature of ordinary porcelain crucibles and glass-fibre filter discs, so the test may have to be repeated in any case. The correct response is to discard the result and repeat the ignition on a fresh, correctly dried sample at 550 °C.
A high-rate digester is a heated, continuously fed and completely mixed anaerobic reactor in which sewage sludge is stabilised in the absence of oxygen. It is distinguished from the older standard-rate digester by three deliberate design choices: the contents are mixed, so the whole tank volume is active rather than stratifying into scum, supernatant, digesting and settled zones; the contents are heated to a controlled mesophilic temperature of about 35 °C; and the feed is thickened and applied continuously or in frequent small doses rather than intermittently. Those three choices cut the required retention time from 30–60 days to 15–20 days for the same volatile-solids destruction, and correspondingly cut the tank volume, which is where the economics of the process live.
Principle — the four-stage anaerobic food chain. Stabilisation proceeds through a sequence of microbial groups that must remain in balance. In hydrolysis, extracellular enzymes break particulate proteins, carbohydrates and lipids into soluble amino acids, sugars and fatty acids; this is the rate-limiting step for a particulate feed such as sewage sludge. In acidogenesis, fermentative bacteria convert those monomers into volatile fatty acids, alcohols, hydrogen and carbon dioxide. In acetogenesis, the longer-chain acids are oxidised to acetate, hydrogen and carbon dioxide, a reaction that is only thermodynamically favourable if the hydrogen partial pressure is kept very low. Finally, in methanogenesis, two distinct archaeal groups produce methane, the acetoclastic route
$$\mathrm{CH_3COOH\rightarrow CH_4+CO_2}$$which accounts for roughly 70 per cent of the gas, and the hydrogenotrophic route
$$\mathrm{4\,H_2+CO_2\rightarrow CH_4+2\,H_2O}$$which consumes the hydrogen and so keeps the acetogens running. The methanogens are the slow, sensitive link in the chain: they grow with a minimum doubling time of the order of days, are inhibited below about pH 6.6, and are poisoned by free ammonia, sulphide and heavy metals. Every feature of the reactor design exists to protect them.
Working. Thickened raw sludge at 4–6 per cent total solids is fed continuously to the mixed volume, and an equal volume of digested sludge is withdrawn from the conical floor, so that the solids retention time equals the hydraulic retention time — there is no biomass recycle, which is why the retention time cannot be reduced below the methanogens' washout limit of roughly ten days without risking souring. Mixing is by recirculated digester gas injected through lances or a draft tube, by mechanical draft-tube impellers, or by external pumped recirculation; it must turn the contents over every 20 to 30 minutes to keep the solids in suspension, prevent a scum blanket forming under the cover, and distribute the incoming feed so that no pocket of the tank sees a local overload of volatile acids. Heat is added by passing recirculated sludge through an external spiral or tube-in-tube heat exchanger fed with hot water from the biogas boiler or engine jacket; the heat load is the sum of raising the incoming sludge from ambient (near 5 °C in a Canadian winter) to 35 °C plus the tank's fabric losses, and holding the temperature steady to within about ±0.5 °C per day matters more than the absolute value, because methanogens tolerate a temperature far better than they tolerate a change in it.
The gas produced collects under a floating or membrane cover that also provides short-term storage and maintains a slight positive pressure so that no air can be drawn into an explosive mixture. Typical performance for a 15-day mesophilic digestion of a mixed primary and waste-activated sludge is 45–55 per cent destruction of volatile solids, yielding roughly 0.9–1.1 m3 of biogas per kilogram of volatile solids destroyed at 60–70 per cent methane, i.e. an energy content of about 22–26 MJ/m3. That gas ordinarily covers the digester's own heating demand and a useful share of the plant's electrical load through a combined heat and power unit. Because the contents are mixed there is no supernatant layer to decant — the whole withdrawal goes to dewatering — and the digested product is a stabilised, largely deodorised biosolid with a much reduced pathogen count and improved dewaterability. Routine control is by monitoring the volatile acid to alkalinity ratio (kept below about 0.3 by adding alkalinity if necessary), gas production rate and methane fraction, pH, and temperature; a falling methane fraction with rising volatile acids is the classic early signature of organic overload, and the response is to cut the feed rate rather than to add more.
| Quantity | Expression | Result |
|---|---|---|
| Total suspended solids | (1.2345 − 1.1234)/0.025 | 4444 mg/L |
| Fixed suspended solids | 0.0234/0.025 | 936 mg/L |
| Volatile suspended solids | TSS − FSS | 3508 mg/L |
| Volatile fraction | 3508/4444 | 79 % (undigested sludge) |
| Ignition at 900 °C | carbonate decomposition, salt volatilisation | FSS under-reported, VSS over-reported; TSS unaffected |
| High-rate digester | mixed, heated 35 °C, continuous feed | SRT = HRT 15–20 d; 45–55 % VS destruction |