{"uid":"cap_MC2p6i1CVlhblTOjciJXd","slug":"zoeppritz-p-sv-displacement-traction-interface-scattering-solver-b4a9fcfb","name":"Zoeppritz P/SV Displacement-Traction Interface Scattering Solver","description":"Resolve all reflected/transmitted P/SV coefficients of a supplied interface.","url":"https://detect.halowerk.com/v1/F-TD2000-GEO-INDUSTRY-B006/zoeppritz-psv-displacement-traction-interface-scattering?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"artifact":{"type":"object","required":["zoeppritz"],"properties":{"zoeppritz":{"type":"object","required":["data","claim"],"properties":{"data":{"type":"object","required":["upper","lower","incidence_degrees"],"properties":{"lower":{"type":"object","required":["p_velocity","s_velocity","density"],"properties":{"density":{"type":"number","maximum":10000,"minimum":1},"p_velocity":{"type":"number","maximum":100000,"minimum":10},"s_velocity":{"type":"number","maximum":100000,"minimum":1}},"additionalProperties":false},"upper":{"type":"object","required":["p_velocity","s_velocity","density"],"properties":{"density":{"type":"number","maximum":10000,"minimum":1},"p_velocity":{"type":"number","maximum":100000,"minimum":10},"s_velocity":{"type":"number","maximum":100000,"minimum":1}},"additionalProperties":false},"incidence_degrees":{"type":"number","maximum":75,"minimum":0}},"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_VKxP29P5a2jTBXPW37TL8","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 all reflected and transmitted P/SV wave coefficients (displacement and traction) at a seismic interface using Zoeppritz equations for a given incidence angle and layer properties.","exampleAgentPrompt":"Solve the full Zoeppritz P/SV scattering coefficients at a rock interface where the upper layer has Vp=2500 m/s, Vs=1200 m/s, density=2.1 g/cc and the lower layer has Vp=3200 m/s, Vs=1800 m/s, density=2.4 g/cc, at an incidence angle of 25 degrees.","exampleUseCases":[{"title":"AVO analysis for reservoir characterization","prompt":"I need the full set of reflected and transmitted P/SV coefficients at a shale-sand boundary — upper layer Vp=2800, Vs=1400, density=2.2 and lower layer Vp=3500, Vs=2000, density=2.5 — at an incidence angle of 20 degrees, for my AVO analysis."},{"title":"Seismic modeling at a water-bottom interface","prompt":"Can you compute the Zoeppritz P/SV displacement and traction scattering at a water-seafloor interface? Water layer: Vp=1500, Vs=0.001, density=1.03; seafloor sediment: Vp=1800, Vs=600, density=1.8; incidence angle is 15 degrees."},{"title":"Wave mode conversion study at crustal boundary","prompt":"For a study on P-to-SV mode conversion at a mid-crustal discontinuity, give me all reflected and transmitted coefficients — upper crust Vp=6000, Vs=3500, density=2.7 and lower crust Vp=7000, Vs=4000, density=3.0 — at 40 degrees incidence."}],"resultDescription":"Returns the complete set of reflected and transmitted P and SV wave coefficients (both displacement and traction representations) for a planar interface between two elastic half-spaces, computed via the Zoeppritz formulation for the specified incidence angle and layer elastic parameters.","failureModes":["Incidence angle outside 0–75 degree range returns validation error","Layer velocities or densities outside allowed min/max bounds cause schema rejection","Zero or near-zero S-velocity in a layer may produce numerical instability or degenerate results","Missing required fields (upper/lower velocities, density, incidence angle) returns 400 Bad Request","Invalid claim object causes authentication/authorization failure","Network timeout or service unavailability returns 5xx error"],"whenToPreferThis":"Choose this endpoint when you need the complete, exact Zoeppritz P/SV reflection and transmission coefficient set — including both displacement and traction components — for a planar elastic interface at a specific incidence angle. It is preferable over approximate reflectivity methods (Shuey, Aki-Richards) when full-wavefield accuracy is required, especially at large angles or for mode-converted SV waves. Best suited for geophysical modeling, AVO analysis, seismic wave partitioning studies, and synthetic seismogram generation.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-11-04T06:40:51.324Z","isFirstParty":false,"canonicalSlug":"zoeppritz-p-sv-displacement-traction-interface-scattering-solver-b4a9fcfb"}