Civil Engineering 2021 Paper II 50 marks Calculate

Paper II — Q8

(a) From the basin map of a given watershed with drainage area 3000 km², the length of the mainstream (L) is measured as 125 km…

(a)

From the basin map of a given watershed with drainage area 3000 km², the length of the mainstream (L) is measured as 125 km. The distance (Lc) from the outlet to a point on the stream nearest the centroid of the watershed area is measured as 90 km. The regional constant C₁ for the watershed is 0·75 and C₂ = 2·75.

From the unit hydrograph derived for the watershed, the following are determined : rainfall duration tR = 12 h, basin lag tpR = 34 h and peak discharge qpR = 135 m³/s. cm.

Determine the coefficients Ct and Cp for the synthetic unit hydrograph of the watershed. 20 marks

(b)

Describe municipal solid waste sanitary landfill with a schematic diagram showing its various components. 15 marks

(c)

Briefly describe the process for the award of environmental clearance for a project according to the EIA Act 2006. 15 marks

हिंदी में प्रश्न पढ़ें
(a)

3000 km² अपवाह क्षेत्र के दिए गए एक जल-विभाजक के द्रोणी (बेसिन) मानचित्र से मुख्य धारा की लंबाई (L) 125 km मापी जाती है। धारा पर एक बिंदु, जो जल-विभाजक क्षेत्र के केन्द्रक से समीपतम है, की निगम से दूरी (Lc) 90 km मापी जाती है। जल-विभाजक के लिए क्षेत्रीय नियतांक C₁ = 0·75 एवं C₂ = 2·75 हैं ।

जल-विभाजक के लिए बनाए गए एकांक जलालेख से निम्नलिखित ज्ञात किए गए हैं : वर्षा अवधि tR = 12 h, द्रोणी काल पश्चाता (बेसिन लैग), tpR = 34 h एवं चरम निस्सरण, qpR = 135 m³/s. cm.

जलविभाजक के संश्लेषिक एकांक जलालेख के लिए गुणांक Ct एवं Cp निर्धारित कीजिए । (20 अंक)

(b)

शहरी ठोस अपशिष्ट स्वच्छ भू-भराव का, एक योजनाबद्ध चित्र से, इसके विभिन्न अंगों को दर्शाते हुए, वर्णन कीजिए । (15 अंक)

(c)

ई.आई.ए. अधिनियम 2006 के अनुसार एक परियोजना को पर्यावरणीय स्वीकृति प्रदान करने की प्रक्रिया का संक्षेप में वर्णन कीजिए । (15 अंक)

Q8 of the 2021 UPSC Mains Civil Engineering Paper II, as printed
The question as printed in the 2021 Civil Engineering paper

Model answer

Drafted with AI by UPSC Answer Check against this question's marking rubric, to the expected length. UPSC does not publish answers for Mains — this is one way to score well, not an official key. How we build rubrics and answers.

(a) Snyder's coefficients Ct and Cp

Snyder's synthetic unit hydrograph (SI units): t_p = C₁·Ct·(L·Lc)^0.3 and q_p = C₂·Cp·A/t_p, where t_p is the basin lag for the standard duration t_r = t_p/5.5, and q_p is the peak for that duration.

The given hydrograph has t_R = 12 h, which is not the standard duration, so the lag is first converted:

t_pR = t_p + (t_R − t_r)/4, with t_r = t_p/5.5

34 = t_p + (12 − t_p/5.5)/4 = t_p(1 − 1/22) + 3

t_p = 31 × 22/21 = 32.48 h (so t_r = 5.9 h).

Ct = t_p/[C₁(L·Lc)^0.3]. L·Lc = 125 × 90 = 11,250 km², and 11,250^0.3 = 16.42, so

Ct = 32.48/(0.75 × 16.42) = 2.64.

The peak is converted to the standard duration using q_pR = q_p·(t_p/t_pR):

q_p = 135 × 34/32.48 = 141.3 m³/s per cm.

Cp = q_p·t_p/(C₂·A) = 141.3 × 32.48/(2.75 × 3,000) = 4,590/8,250 = 0.556.

Ct ≈ 2.64 and Cp ≈ 0.56.

(b) Municipal solid waste sanitary landfill

A sanitary landfill is an engineered site where municipal solid waste is spread, compacted in layers (cells) and covered with soil at the end of each day, so that it does not harm public health or the environment. A schematic cross-section from bottom to top shows the following components.

  • Natural ground and a liner system: compacted clay (about 0.6 to 1 m) with an HDPE geomembrane and a protective geotextile, which stops leachate reaching groundwater.
  • Leachate collection layer: a granular drainage blanket with perforated pipes laid to a slope, leading to a sump, pumping and a leachate treatment plant.
  • Waste cells: compacted waste in lifts of about 2 to 3 m, each with a daily soil cover (about 15 cm) to limit odour, vermin, litter and fires, and an intermediate cover.
  • Gas collection system: vertical wells and horizontal headers drawing methane and CO₂ to a flare or an energy plant.
  • Final cover: a clay or geomembrane barrier, a drainage layer and topsoil with vegetation, which reduces rain infiltration.
  • Surface drainage: diversion drains and a sedimentation pond to keep runoff away from the waste.
  • Monitoring and support works: groundwater monitoring wells, gas probes, a buffer zone, fencing, a weighbridge and an access road.
Diagram: Sanitary landfill: schematic cross-section

After closure the site is monitored for leachate, gas, settlement and groundwater for many years. Site selection and design follow the Solid Waste Management Rules, 2016.

(c) Award of environmental clearance

There is no separate "EIA Act 2006"; the process is laid down in the EIA Notification, 2006, issued under the Environment (Protection) Act, 1986. Its stages are:

  • Categorisation: listed projects are Category A (appraised by the central Expert Appraisal Committee, EAC, and cleared by MoEFCC) or Category B (appraised by the State Expert Appraisal Committee, SEAC, and cleared by the State Environment Impact Assessment Authority, SEIAA).
  • Application: the proponent applies with Form 1, a pre-feasibility report and a conceptual plan, now online through the PARIVESH portal.
  • Screening (Category B only): SEAC decides whether the project is B1, needing an EIA report, or B2, which does not.
  • Scoping: for Category A and B1, the EAC/SEAC fixes the Terms of Reference for the EIA study.
  • EIA report and EMP: the proponent, through an accredited consultant, collects baseline data, predicts impacts and prepares the EIA report and Environmental Management Plan.
  • Public consultation: the State Pollution Control Board holds a public hearing (to be completed within 45 days) after local notice, and the report is revised for the concerns raised. Some projects are exempt.
  • Appraisal: the EAC/SEAC examines the final report and the hearing record, normally within 60 days, and recommends clearance with conditions or rejection.
  • Decision: the regulatory authority, MoEFCC or SEIAA, normally decides within 45 days of the recommendation, and grants clearance with specific conditions and a validity period or rejects it with reasons. Compliance reports then follow.

How this answer will be evaluated

What earns full marks: Part (a) uses Snyder's method correctly with all steps shown; Part (b) has a clear, labelled diagram with all components explained; Part (c) outlines the full EIA process with correct institutional roles.

Evaluation rubric

Each sub-part is marked on its own, against the marks and word limit printed on the paper.

  1. (a) Determine coefficients Ct and Cp for the synthetic unit hydrograph. 20 marks

    calculate— given → formula → substitution → result with units → interpretation

    Must cover

    • Identify Snyder's method using constants C1 and C2
    • Convert the given t_pR to the standard lag t_p using t_pR = t_p + (t_R − t_r)/4 with t_r = t_p/5.5
    • Adjust the peak to the standard duration: q_p = q_pR × t_pR/t_p
    • Compute Ct = t_p/[C₁(L·Lc)^0.3] and Cp = q_p·t_p/(C₂A), about 2.64 and 0.56

    Loses marks

    • Using SCS method instead of Snyder's method
    • Omitting the calculation of theoretical lag or peak
    • Final values without showing the ratio calculation

    Earns more

    • Correct substitution of L, Lc, and Area values
    • Explicit statement of Snyder's lag and peak formulas
    • Units carried through every calculation step
    • Final values for Ct and Cp clearly stated

    Extra mark

    • Checking the standard duration t_r = t_p/5.5 against the given t_R
    • Comparison of theoretical vs observed values
  2. (b) Describe municipal solid waste sanitary landfill with a schematic diagram. 15 marks

    describe— define → structure or process in order → labelled diagram → significance

    Must cover

    • Define sanitary landfill and its purpose
    • List key components: liner, leachate, gas, cover
    • Provide a labelled schematic cross-section (liner, leachate system, gas wells, cover)
    • Explain the function of each major component

    Loses marks

    • Missing the schematic diagram
    • Diagram without labels or key components
    • Description without explaining component functions

    Earns more

    • Mention of daily and final cover layers
    • Description of leachate collection and treatment
    • Mention of landfill gas collection system
    • Reference to environmental protection measures

    Extra mark

    • Mention of specific liner materials (e.g., HDPE)
    • Reference to the Solid Waste Management Rules, 2016
  3. (c) Briefly describe the process for award of environmental clearance under EIA Act 2006. 15 marks

    describe— define → structure or process in order → labelled diagram → significance

    Must cover

    • State that the process is governed by the EIA Notification, 2006 under the Environment (Protection) Act, 1986
    • Describe the screening and scoping stages
    • Explain the role of Expert Appraisal Committee (EAC)
    • Outline the final clearance by MoEFCC

    Loses marks

    • Omitting the role of EAC or MoEFCC
    • Treating a separate 'EIA Act 2006' as an actual statute
    • Missing the public consultation stage

    Earns more

    • Mention of public consultation/hearing process
    • Description of Environmental Impact Assessment (EIA) report
    • Reference to State Level Environment Impact Assessment Authority
    • Mention of conditions attached to clearance

    Extra mark

    • Reference to specific categories of projects (A/B)
    • Mention of timelines (45-day public hearing, 60-day appraisal, 45-day decision)
What "Calculate" is asking you to do

Apply the standard formula or schedule to data the question has already supplied — a table of readings, cost records, a balance sheet — and produce the number. The method is rarely in doubt; the marks sit in the named intermediate quantities, each of which has to appear as a labelled line.

Structure that answers it

Data as given → formula or standard treatment, named → substitution → each intermediate, labelled → result with units

Where marks are lost

Omitting an intermediate the marking scheme pays for separately, or rounding at an intermediate line so the final figure drifts. In commerce and accountancy, any figure in a statement that no numbered working note supports is treated as unearned.

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