{"uid":"cap_t2iDnWz_Lr27IJuEBOIMM","slug":"theis-confined-aquifer-multi-well-pumping-recovery-superposition-572abb4e","name":"Theis Confined Aquifer Multi-Well Pumping & Recovery Superposition","description":"Compute explicit pumping and recovery drawdown superposition in an ideal aquifer.","url":"https://detect.halowerk.com/v1/F-TD2000-GEO-INDUSTRY-B008/theis-confined-aquifer-multiwell-pumping-recovery-superposition?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"artifact":{"type":"object","required":["theis"],"properties":{"theis":{"type":"object","required":["data","claim"],"properties":{"data":{"type":"object","required":["transmissivity","storativity","wells","queries"],"properties":{"wells":{"type":"array","items":{"type":"object","required":["position","pumping_steps"],"properties":{"position":{"type":"array","items":{"type":"number","maximum":10000,"minimum":-10000},"maxItems":2,"minItems":2},"pumping_steps":{"type":"array","items":{"type":"object","required":["time","rate_change"],"properties":{"time":{"type":"number","maximum":100000000,"minimum":0},"rate_change":{"type":"number","maximum":10000,"minimum":-10000}},"additionalProperties":false},"maxItems":32,"minItems":1}},"additionalProperties":false},"maxItems":16,"minItems":1},"queries":{"type":"array","items":{"type":"object","required":["position","time"],"properties":{"time":{"type":"number","maximum":100000000,"minimum":0},"position":{"type":"array","items":{"type":"number","maximum":10000,"minimum":-10000},"maxItems":2,"minItems":2}},"additionalProperties":false},"maxItems":32,"minItems":1},"storativity":{"type":"number","maximum":1,"minimum":1e-8},"transmissivity":{"type":"number","maximum":10000,"minimum":0.000001}},"additionalProperties":false},"claim":{}},"additionalProperties":false}},"additionalProperties":false}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.003","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.003/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.003","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.003","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_YhqDDvP_uFUF1RM7nvhED","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.003","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes explicit drawdown and recovery at arbitrary observation points in a confined aquifer by superposing Theis solutions across multiple pumping wells with piecewise-constant pumping rate histories.","exampleAgentPrompt":"Calculate the drawdown superposition in a confined aquifer with transmissivity 500 m²/day and storativity 0.0001, with two pumping wells at positions (0,0) and (200,0) — the first pumping at a rate change of 1000 m³/day starting at t=0, the second at 500 m³/day starting at t=1000 — and give me the drawdown at observation point (100,50) at time t=5000 days.","exampleUseCases":[{"title":"Well interference assessment for new wellfield","prompt":"I have a confined aquifer with transmissivity 300 m²/day and storativity 0.0002. I want to place three wells at (0,0), (150,0), and (75,130), each starting to pump at 800 m³/day from t=0. What's the total drawdown at the centroid point (75,43) at t=10000 days?"},{"title":"Pumping test recovery analysis","prompt":"We ran a pumping test in a confined aquifer — transmissivity 450 m²/day, storativity 0.00005. One well at (0,0) pumped 1200 m³/day from t=0 to t=86400, then stopped (rate change of -1200 at t=86400). Can you compute the residual drawdown at an observation point (50,0) at t=172800 days to analyze the recovery?"},{"title":"Multi-step pumping schedule drawdown forecast","prompt":"For a confined aquifer with transmissivity 1000 m²/day and storativity 0.001, I have a single well at (0,0) with a stepped pumping schedule: 500 m³/day starting at t=0, increasing by 300 m³/day at t=2000, then decreasing by 200 m³/day at t=8000. What is the drawdown at (100,0) at t=15000 days?"}],"resultDescription":"Returns superposed drawdown values (in meters or consistent units) at each queried observation position and time, computed by applying the Theis well function to each pumping step of each well and summing contributions via the principle of superposition, including both pumping-induced drawdown and recovery phases.","failureModes":["Transmissivity or storativity out of allowed range returns validation error","Well or query positions outside ±10000 coordinate bounds rejected","More than 16 wells or 32 pumping steps per well exceeds schema limits","More than 32 query points per request returns error","Zero or negative transmissivity causes numerical instability","Query time of zero with active pumping may produce undefined Theis function value","Malformed artifact/claim structure causes request rejection"],"whenToPreferThis":"Use this endpoint when you need analytically exact drawdown or recovery calculations in a homogeneous, isotropic confined aquifer under the Theis assumptions, especially for multi-well interference or stepped pumping histories. Prefer this over numerical groundwater models when the aquifer is confined, laterally infinite, and you need fast, deterministic answers without discretizing a grid. Best suited for pumping test analysis, wellfield design screening, and regulatory drawdown estimation.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-11-04T06:39:51.947Z","isFirstParty":false,"canonicalSlug":"theis-confined-aquifer-multi-well-pumping-recovery-superposition-572abb4e"}