{ "schemaVersion": 1, "updatedAt": "2026-10-09", "status": "DOUBLE_ACCELERATION_AUDIT_COMPLETE_CAUSE_UNRESOLVED", "solverCommit": "7a1c76454396f8dd2f5a67ea524ca372e2c91993", "precision": "double", "executedNewSolverRuns": false, "existingPublicReportsModified": false, "regionalValidation": false, "formalPassThreshold": null, "conclusion": "The double pair retains substantial raw acceleration sensitivity, especially Z24.26%. Difference energy lies overwhelmingly above the nominal1.128Hz mesh criterion and grows late; native traces satisfy the integrator identities, disfavoring a simple output/timing artifact. Temporal dispersion of high spatial modes is plausible, but cause and continuum accuracy remain unverified.", "scope": "Read original local doublea/doubleb outputs and inputs. No smoothing, inverse spectral filtering, solver execution, new build, server or existing-report modification.", "provenance": [ { "runId": "base", "dtSeconds": 0.001798, "samples": 13349, "runReportSha256": "92cf672d6c1e2e3fbe132c95dbc9fe1311d0bab3432dbfcad035a533153f06dc", "solverLogSha256": "60b768f07a8194d2c8db7135bba7d880e7b1342ba66d7c1cba8e75a622d0bd01", "executableSha256": "3b939953ed22eca12e3fd982cde5e7ded0ce64e145d01f0352e98635a1ca8c35", "inputFiles": [ { "name": "CMTSOLUTION", "sha256": "27c659f86b81b32c5b7b82a88bb6e3dc06e6f8c57bfa9d55817693328c8459ff" }, { "name": "Par_file", "sha256": "5823a6a19f159a8e9c5167a6e63f5506e417d11e324f1d329565026b77484ffa" }, { "name": "STATIONS", "sha256": "a80cc745ccbe0bca6b6e95f69151cdd41ce3c9f75ad40982864002fa6b4f9b91" }, { "name": "meshfem3D_files/Mesh_Par_file", "sha256": "4e977fa19cf6a28a21871a139c1b057cc565b532c8094c25d87d83d85eff0758" }, { "name": "meshfem3D_files/interfaces.dat", "sha256": "1c6796686a413b692145d6d7b087bd2ebd12c211b42a4949aeac4c74ad4bf61a" }, { "name": "meshfem3D_files/no_cavity.dat", "sha256": "4734d49a223ca1888a6ab52b195a4d8c25d34db0f8d8e01ae06cbb93c6d2dc5f" }, { "name": "meshfem3D_files/top.dat", "sha256": "5814f77df903010ca887bd877846d7f8cfb375de39c5b252fe8345ca4cfbacc2" }, { "name": "tomo_files/tomography_model.xyz", "sha256": "001d835439fb5b6136c303904f22d0cb585a57328ae132501c2955277a9dda82" } ], "files": [ { "name": "IV.EVRN.CXX.semd", "sha256": "1531e1aff53e5fd8f967831ab2068f58d86216c4472b45a8f85d106b2b86b304" }, { "name": "IV.EVRN.CXY.semd", "sha256": "fdbcff913f716c2809e8c114c1b68903e464bbfbd4f28aef5b9560fb2e50df83" }, { "name": "IV.EVRN.CXZ.semd", "sha256": "a4c2d8e6a4d880baa6b7ae03ea3de3fed1a95e6b8badbf2d9a4858f12931b93c" }, { "name": "IV.EVRN.CXX.semv", "sha256": "00c2ec7d29c83b59606d6d9429cc8964d7d1df0c3dc4d4117d9469616f6e35dd" }, { "name": "IV.EVRN.CXY.semv", "sha256": "a5985a52e87c9013094591d9235cfc1687776b61c45accae0c87b002112c87a7" }, { "name": "IV.EVRN.CXZ.semv", "sha256": "8233132962a82dd104995cc573bcb9b5a818e6e2334de7b7f9b304fd6aff43da" }, { "name": "IV.EVRN.CXX.sema", "sha256": "bcca6f3972f91c2d14925785af03f3973ff13733f2c520e171c6bae211c084ad" }, { "name": "IV.EVRN.CXY.sema", "sha256": "769d47268089dd29c6146bf003d3b1b2479641dadd3b92a85854482e91bd5301" }, { "name": "IV.EVRN.CXZ.sema", "sha256": "19ccd08d58770c6215a032f4c2619954aa0f0dfdd77457c139bacd6b946db4cf" } ] }, { "runId": "half-dt", "dtSeconds": 0.000899, "samples": 26697, "runReportSha256": "01a34d64c52be4dad62bab3d723b3c84b678555633754098a8c9919904e25750", "solverLogSha256": "681fe9d04057069a9651d9d53735299177b94d41fd464d9307aeca2a204ae9d9", "executableSha256": "3b939953ed22eca12e3fd982cde5e7ded0ce64e145d01f0352e98635a1ca8c35", "inputFiles": [ { "name": "CMTSOLUTION", "sha256": "27c659f86b81b32c5b7b82a88bb6e3dc06e6f8c57bfa9d55817693328c8459ff" }, { "name": "Par_file", "sha256": "f8fe735b3d0b9c53285fa97924f62bd0a60e7f0ff147cf7a8dd41845d0897444" }, { "name": "STATIONS", "sha256": "a80cc745ccbe0bca6b6e95f69151cdd41ce3c9f75ad40982864002fa6b4f9b91" }, { "name": "meshfem3D_files/Mesh_Par_file", "sha256": "4e977fa19cf6a28a21871a139c1b057cc565b532c8094c25d87d83d85eff0758" }, { "name": "meshfem3D_files/interfaces.dat", "sha256": "1c6796686a413b692145d6d7b087bd2ebd12c211b42a4949aeac4c74ad4bf61a" }, { "name": "meshfem3D_files/no_cavity.dat", "sha256": "4734d49a223ca1888a6ab52b195a4d8c25d34db0f8d8e01ae06cbb93c6d2dc5f" }, { "name": "meshfem3D_files/top.dat", "sha256": "5814f77df903010ca887bd877846d7f8cfb375de39c5b252fe8345ca4cfbacc2" }, { "name": "tomo_files/tomography_model.xyz", "sha256": "001d835439fb5b6136c303904f22d0cb585a57328ae132501c2955277a9dda82" } ], "files": [ { "name": "IV.EVRN.FXX.semd", "sha256": "ae3a08aa9905d89784775f304ecf79409708ac9cd1febe148f0c477a49d3c31a" }, { "name": "IV.EVRN.FXY.semd", "sha256": "d41b9dd6ff3285cd4d9b4c93caa6d3560da3910cfbcf5317cb13805cde180e6f" }, { "name": "IV.EVRN.FXZ.semd", "sha256": "ea1da2e05fbbfd67ec8b1615499a8977690cdf346dcfbcf95589cd7500145ad4" }, { "name": "IV.EVRN.FXX.semv", "sha256": "2a6b02013b89f8dfa34bef1bd26b760ea249c62ffd406cef91e903c30ff86ed9" }, { "name": "IV.EVRN.FXY.semv", "sha256": "39af5a4260e469908f3d2a29163406b13472cf461f563fae5b061ad582df449f" }, { "name": "IV.EVRN.FXZ.semv", "sha256": "49587d2d94bb191d2d4f6ff7d7a42ac584f6ce4818c775a1f8c1dcd610c8a525" }, { "name": "IV.EVRN.FXX.sema", "sha256": "9f3aa2e165b05c9f956559f182209b3d7018e45a3876e7af5c554ed8e037df8a" }, { "name": "IV.EVRN.FXY.sema", "sha256": "af1203d59f2f32439a0109f494f215a607aa3451facfffed1fa81f97872849d9" }, { "name": "IV.EVRN.FXZ.sema", "sha256": "be5122a9d295fe45888ba202ef22e154742facddd7729eb8de6502257934161b" } ] } ], "inputIdentity": { "parFileMatchesExceptDTAndNstep": true, "parFileByteIdentical": false, "inputManifestHashIdentical": true, "inputManifestSha256": "2c07290df5feab020557f3b68d68d22219ff9316344987cdc86338d75c5e4511", "allRequiredDataLocallyByteChecked": true, "dataFilesByteCompared": [ "CMTSOLUTION", "STATIONS", "meshfem3D_files/Mesh_Par_file", "meshfem3D_files/interfaces.dat", "meshfem3D_files/no_cavity.dat", "meshfem3D_files/top.dat", "tomo_files/tomography_model.xyz" ], "differentDataFiles": [], "missingLocalDataForFullCheck": [], "generatedStationsFilteredExcluded": true }, "rawNineComparisons": [ { "component": "X", "quantity": "displacement", "unit": "m", "baseFile": "IV.EVRN.CXX.semd", "halfDtFile": "IV.EVRN.FXX.semd", "baseSha256": "1531e1aff53e5fd8f967831ab2068f58d86216c4472b45a8f85d106b2b86b304", "halfDtSha256": "ae3a08aa9905d89784775f304ecf79409708ac9cd1febe148f0c477a49d3c31a", "baseSamples": 13349, "halfDtSamples": 26697, "comparedSamples": 13349, "relativeL2": 2.582624072318497e-06, "relativeL2Percent": 0.0002582624072318497, "correlation": 0.9999999999955741, "absoluteRmsDifference": 1.5552248708021395e-09, "basePeakAbs": 0.0015379326308643704, "halfDtPeakAbs": 0.0015379352620518792, "finite": true }, { "component": "Y", "quantity": "displacement", "unit": "m", "baseFile": "IV.EVRN.CXY.semd", "halfDtFile": "IV.EVRN.FXY.semd", "baseSha256": "fdbcff913f716c2809e8c114c1b68903e464bbfbd4f28aef5b9560fb2e50df83", "halfDtSha256": "d41b9dd6ff3285cd4d9b4c93caa6d3560da3910cfbcf5317cb13805cde180e6f", "baseSamples": 13349, "halfDtSamples": 26697, "comparedSamples": 13349, "relativeL2": 3.232676645958395e-07, "relativeL2Percent": 3.2326766459583954e-05, "correlation": 0.9999999999998619, "absoluteRmsDifference": 1.3095236082234402e-09, "basePeakAbs": 0.005866973610437725, "halfDtPeakAbs": 0.005866973393507225, "finite": true }, { "component": "Z", "quantity": "displacement", "unit": "m", "baseFile": "IV.EVRN.CXZ.semd", "halfDtFile": "IV.EVRN.FXZ.semd", "baseSha256": "a4c2d8e6a4d880baa6b7ae03ea3de3fed1a95e6b8badbf2d9a4858f12931b93c", "halfDtSha256": "ea1da2e05fbbfd67ec8b1615499a8977690cdf346dcfbcf95589cd7500145ad4", "baseSamples": 13349, "halfDtSamples": 26697, "comparedSamples": 13349, "relativeL2": 1.662743373178534e-05, "relativeL2Percent": 0.001662743373178534, "correlation": 0.9999999996911825, "absoluteRmsDifference": 3.259754368310812e-09, "basePeakAbs": 0.00039588877722157307, "halfDtPeakAbs": 0.00039589369522952106, "finite": true }, { "component": "X", "quantity": "velocity", "unit": "m/s", "baseFile": "IV.EVRN.CXX.semv", "halfDtFile": "IV.EVRN.FXX.semv", "baseSha256": "00c2ec7d29c83b59606d6d9429cc8964d7d1df0c3dc4d4117d9469616f6e35dd", "halfDtSha256": "2a6b02013b89f8dfa34bef1bd26b760ea249c62ffd406cef91e903c30ff86ed9", "baseSamples": 13349, "halfDtSamples": 26697, "comparedSamples": 13349, "relativeL2": 0.00037119486147871983, "relativeL2Percent": 0.037119486147871986, "correlation": 0.9999999308287563, "absoluteRmsDifference": 7.567823743679834e-08, "basePeakAbs": 0.0005367156821284695, "halfDtPeakAbs": 0.0005367984403749417, "finite": true }, { "component": "Y", "quantity": "velocity", "unit": "m/s", "baseFile": "IV.EVRN.CXY.semv", "halfDtFile": "IV.EVRN.FXY.semv", "baseSha256": "a5985a52e87c9013094591d9235cfc1687776b61c45accae0c87b002112c87a7", "halfDtSha256": "39af5a4260e469908f3d2a29163406b13472cf461f563fae5b061ad582df449f", "baseSamples": 13349, "halfDtSamples": 26697, "comparedSamples": 13349, "relativeL2": 0.00013831948511037415, "relativeL2Percent": 0.013831948511037416, "correlation": 0.9999999858112947, "absoluteRmsDifference": 5.9236664943556026e-08, "basePeakAbs": 0.0012444693940024984, "halfDtPeakAbs": 0.0012444486543692413, "finite": true }, { "component": "Z", "quantity": "velocity", "unit": "m/s", "baseFile": "IV.EVRN.CXZ.semv", "halfDtFile": "IV.EVRN.FXZ.semv", "baseSha256": "8233132962a82dd104995cc573bcb9b5a818e6e2334de7b7f9b304fd6aff43da", "halfDtSha256": "49587d2d94bb191d2d4f6ff7d7a42ac584f6ce4818c775a1f8c1dcd610c8a525", "baseSamples": 13349, "halfDtSamples": 26697, "comparedSamples": 13349, "relativeL2": 0.004292876810585351, "relativeL2Percent": 0.4292876810585351, "correlation": 0.999989401027798, "absoluteRmsDifference": 1.9591916446474126e-07, "basePeakAbs": 0.00010916615408110241, "halfDtPeakAbs": 0.0001091905215059049, "finite": true }, { "component": "X", "quantity": "acceleration", "unit": "m/s²", "baseFile": "IV.EVRN.CXX.sema", "halfDtFile": "IV.EVRN.FXX.sema", "baseSha256": "bcca6f3972f91c2d14925785af03f3973ff13733f2c520e171c6bae211c084ad", "halfDtSha256": "9f3aa2e165b05c9f956559f182209b3d7018e45a3876e7af5c554ed8e037df8a", "baseSamples": 13349, "halfDtSamples": 26697, "comparedSamples": 13349, "relativeL2": 0.028906893569594333, "relativeL2Percent": 2.890689356959433, "correlation": 0.9995821526986188, "absoluteRmsDifference": 3.994011391392721e-06, "basePeakAbs": 0.0005091945558753657, "halfDtPeakAbs": 0.0005089235826630842, "finite": true }, { "component": "Y", "quantity": "acceleration", "unit": "m/s²", "baseFile": "IV.EVRN.CXY.sema", "halfDtFile": "IV.EVRN.FXY.sema", "baseSha256": "769d47268089dd29c6146bf003d3b1b2479641dadd3b92a85854482e91bd5301", "halfDtSha256": "af1203d59f2f32439a0109f494f215a607aa3451facfffed1fa81f97872849d9", "baseSamples": 13349, "halfDtSamples": 26697, "comparedSamples": 13349, "relativeL2": 0.015960460270854016, "relativeL2Percent": 1.5960460270854016, "correlation": 0.9998726251904904, "absoluteRmsDifference": 2.9928495351564184e-06, "basePeakAbs": 0.0005424930459291385, "halfDtPeakAbs": 0.0005424851595159418, "finite": true }, { "component": "Z", "quantity": "acceleration", "unit": "m/s²", "baseFile": "IV.EVRN.CXZ.sema", "halfDtFile": "IV.EVRN.FXZ.sema", "baseSha256": "19ccd08d58770c6215a032f4c2619954aa0f0dfdd77457c139bacd6b946db4cf", "halfDtSha256": "be5122a9d295fe45888ba202ef22e154742facddd7729eb8de6502257934161b", "baseSamples": 13349, "halfDtSamples": 26697, "comparedSamples": 13349, "relativeL2": 0.24258916788101986, "relativeL2Percent": 24.258916788101985, "correlation": 0.9705634547487882, "absoluteRmsDifference": 1.188602615198029e-05, "basePeakAbs": 0.0001678650194671548, "halfDtPeakAbs": 0.00016844768566572996, "finite": true } ], "mesh": { "minimumResolvedPeriodSeconds": 0.8864667180093997, "nominalHighestResolvedFrequencyHz": 1.1280739363182686, "nominalCriterionIsNotSharpCutoff": true, "elements": 768, "gllNodes": 53361 }, "methods": { "rawPair": "Exact even-index selection from half-DT agrees in timestamps with base; interpolation discrepancy separately measured. All original samples retained.", "spectral": "Real FFT with one-sided multiplicities; bands fixed at nominal mesh frequency,5,10,20Hz and base Nyquist before inspecting results. Both raw rectangular and linear-detrended Hann diagnostics reported to expose leakage sensitivity; no trace reconstructed or acceptance threshold applied.", "spectralRelativeL2": "100*sqrt(sum(weight*abs(FFT(base)-FFT(half))^2) / sum(weight*abs(FFT(half))^2)) in each band; treatment applied identically to both.", "times": "Four-second bins fixed across full -8 to +16s record; cumulative raw squared difference quantiles are descriptive times, not onset or earthquake duration estimates.", "derivatives": "Float64 algebra at nominal DT; central first/second differences exclude endpoints. No differentiation of rounded time columns; native half-DT derivative taken before even-index comparison.", "newmarkIdentity": "v[i]-v[i-1] = DT/2*(a[i]+a[i-1]); central dv/dt = (a[i-1]+2*a[i]+a[i+1])/4; second central du/dt^2 = a[i] for this explicit Newmark scheme. Identities check output consistency, not physical accuracy.", "lag": "Central dv/dt checked against acceleration at lags -2,-1,0,1,2 samples on a common interior. No output shifted or corrected." }, "components": [ { "component": "X", "rawComparisonEvenSampleNoInterpolation": { "relativeL2Percent": 2.890689356959433, "rmsDifference": 3.994011391392721e-06, "correlation": 0.9995821526986188 }, "maxPairedTimeDifferenceSeconds": 0.0, "maxInterpolationVsExactEvenSampleDifferenceMps2": 0.0, "rawAccelerationDifferenceVsDifferenceOfVelocityDerivatives": { "relativeL2Percent": 0.6919539636734403, "rmsDifference": 2.7636265560749475e-08, "correlation": 0.9999771805863776 }, "spectralDiagnostics": [ { "treatment": "raw-rectangular", "frequencyBinHz": 0.041664059190962305, "nyquistHz": 278.0867630700779, "bands": [ { "lowerHzInclusive": 0, "upperHz": 1.1280739363182686, "bins": 28, "differenceEnergyFraction": 0.00027218163322171554, "referenceEnergyFraction": 0.9761473972024625, "spectralRelativeL2Percent": 0.0482695367680155 }, { "lowerHzInclusive": 1.1280739363182686, "upperHz": 5, "bins": 93, "differenceEnergyFraction": 0.0026381197610215153, "referenceEnergyFraction": 0.0009893940593176894, "spectralRelativeL2Percent": 4.720239423400701 }, { "lowerHzInclusive": 5, "upperHz": 10, "bins": 120, "differenceEnergyFraction": 0.9727796913951358, "referenceEnergyFraction": 0.022794835020389793, "spectralRelativeL2Percent": 18.88384575685051 }, { "lowerHzInclusive": 10, "upperHz": 20, "bins": 240, "differenceEnergyFraction": 0.023940340016318225, "referenceEnergyFraction": 6.670201840134334e-05, "spectralRelativeL2Percent": 54.764243480420696 }, { "lowerHzInclusive": 20, "upperHz": 278.0867630700779, "bins": 6194, "differenceEnergyFraction": 0.00036966719430276085, "referenceEnergyFraction": 1.6716994288858703e-06, "spectralRelativeL2Percent": 42.98607400800334 } ], "differenceEnergyAboveNominalMeshFrequencyFraction": 0.9997278183667782, "referenceEnergyAboveNominalMeshFrequencyFraction": 0.023852602797537713, "separatedDominantDifferenceBins": [ { "frequencyHz": 9.499405495539406, "differenceEnergyBinFraction": 0.11114198681868363 }, { "frequencyHz": 9.832717969067104, "differenceEnergyBinFraction": 0.08994300072710171 }, { "frequencyHz": 7.749515009518989, "differenceEnergyBinFraction": 0.056426483353276005 }, { "frequencyHz": 8.624460252529197, "differenceEnergyBinFraction": 0.01650644699720733 }, { "frequencyHz": 9.082764903629782, "differenceEnergyBinFraction": 0.01601539176661321 } ] }, { "treatment": "linear-detrend-Hann", "frequencyBinHz": 0.041664059190962305, "nyquistHz": 278.0867630700779, "bands": [ { "lowerHzInclusive": 0, "upperHz": 1.1280739363182686, "bins": 28, "differenceEnergyFraction": 9.96236496122446e-06, "referenceEnergyFraction": 0.9841921427815268, "spectralRelativeL2Percent": 0.005753933922377901 }, { "lowerHzInclusive": 1.1280739363182686, "upperHz": 5, "bins": 93, "differenceEnergyFraction": 0.002214309570498515, "referenceEnergyFraction": 0.00042073274170510233, "spectralRelativeL2Percent": 4.148963426513692 }, { "lowerHzInclusive": 5, "upperHz": 10, "bins": 120, "differenceEnergyFraction": 0.994003167604054, "referenceEnergyFraction": 0.015378618006093218, "spectralRelativeL2Percent": 14.539813053261275 }, { "lowerHzInclusive": 10, "upperHz": 20, "bins": 240, "differenceEnergyFraction": 0.0037725604604608247, "referenceEnergyFraction": 8.506470674796446e-06, "spectralRelativeL2Percent": 38.08614293041542 }, { "lowerHzInclusive": 20, "upperHz": 278.0867630700779, "bins": 6194, "differenceEnergyFraction": 2.5730648165771648e-14, "referenceEnergyFraction": 2.752643984938816e-17, "spectralRelativeL2Percent": 55.293481245259876 } ], "differenceEnergyAboveNominalMeshFrequencyFraction": 0.999990037635039, "referenceEnergyAboveNominalMeshFrequencyFraction": 0.015807857218473144, "separatedDominantDifferenceBins": [ { "frequencyHz": 7.749515009518989, "differenceEnergyBinFraction": 0.09377615237482749 }, { "frequencyHz": 9.499405495539406, "differenceEnergyBinFraction": 0.05949223043573294 }, { "frequencyHz": 9.832717969067104, "differenceEnergyBinFraction": 0.04446576461775175 }, { "frequencyHz": 8.666124311720159, "differenceEnergyBinFraction": 0.024579247420387675 }, { "frequencyHz": 9.04110084443882, "differenceEnergyBinFraction": 0.015852382597529305 } ] } ], "temporalDiagnostics": { "energyQuantileTimes": [ { "fraction": 0.001, "timeSeconds": -3.977874 }, { "fraction": 0.01, "timeSeconds": -1.7357680000000002 }, { "fraction": 0.1, "timeSeconds": 2.7772119999999987 }, { "fraction": 0.5, "timeSeconds": 10.663239999999998 }, { "fraction": 0.9, "timeSeconds": 14.922701999999997 }, { "fraction": 0.99, "timeSeconds": 15.976329999999997 } ], "fourSecondWindows": [ { "startSeconds": -8, "endSecondsExclusive": -4, "samples": 2225, "differenceEnergyFraction": 0.0009592497642356298, "relativeL2Percent": 3.1828985459903687, "rmsDifference": 3.0299433495522774e-07, "correlation": 0.9994936004034302, "baseRmsMps2": 9.535600955194085e-06, "halfDtRmsMps2": 9.519446836812392e-06 }, { "startSeconds": -4, "endSecondsExclusive": 0, "samples": 2225, "differenceEnergyFraction": 0.028405556146284854, "relativeL2Percent": 1.2057206893700099, "rmsDifference": 1.6488088368521362e-06, "correlation": 0.9998126822098201, "baseRmsMps2": 0.0001367452769136592, "halfDtRmsMps2": 0.00013674882179500798 }, { "startSeconds": 0, "endSecondsExclusive": 4, "samples": 2225, "differenceEnergyFraction": 0.12832226069269184, "relativeL2Percent": 1.1811920805662572, "rmsDifference": 3.5044483142090113e-06, "correlation": 0.9998685283881039, "baseRmsMps2": 0.0002966826658137792, "halfDtRmsMps2": 0.0002966874204345323 }, { "startSeconds": 4, "endSecondsExclusive": 8, "samples": 2224, "differenceEnergyFraction": 0.1444404362854091, "relativeL2Percent": 4.673264663491947, "rmsDifference": 3.71886719982691e-06, "correlation": 0.9976706752917456, "baseRmsMps2": 7.957982953295064e-05, "halfDtRmsMps2": 7.957750026184277e-05 }, { "startSeconds": 8, "endSecondsExclusive": 12, "samples": 2225, "differenceEnergyFraction": 0.29312157162526753, "relativeL2Percent": 16.89084685403036, "rmsDifference": 5.296543559602807e-06, "correlation": 0.9728726776475783, "baseRmsMps2": 3.133207602952357e-05, "halfDtRmsMps2": 3.1357477842142575e-05 }, { "startSeconds": 12, "endSecondsExclusive": 16, "samples": 2225, "differenceEnergyFraction": 0.4047509254861108, "relativeL2Percent": 30.862050589462456, "rmsDifference": 6.223899672014929e-06, "correlation": 0.9433018841762565, "baseRmsMps2": 2.0194880249567888e-05, "halfDtRmsMps2": 2.0166837760741726e-05 } ], "maxAbsDifference": 1.546473783353524e-05, "maxAbsDifferenceTimeSeconds": 15.925985999999998, "firstFiveSamples": { "timeSeconds": [ -8.0, -7.998202, -7.996404, -7.994606, -7.992808 ], "baseMps2": [ 0.0, 0.0, 0.0, 0.0, 0.0 ], "halfDtMps2": [ 0.0, 0.0, 0.0, 1.891327392910975e-39, 1.7741528690739947e-37 ] }, "lastFiveSamples": { "timeSeconds": [ 15.992511999999998, 15.994309999999999, 15.996108, 15.997906, 15.999703999999998 ], "baseMps2": [ -1.4884951811466425e-05, -1.6505809250438652e-05, -1.7861586503073945e-05, -1.8938099895510748e-05, -1.972469836626968e-05 ], "halfDtMps2": [ -3.4917455022817838e-06, -6.237551997255169e-06, -8.837212628496038e-06, -1.1262400754740889e-05, -1.3487052441512382e-05 ] } }, "temporalDispersionHeuristic": { "status": "ILLUSTRATION_NOT_CAUSAL_IDENTIFICATION", "assumedContinuousOscillatorFrequencyHz": 7.749515009518989, "formula": "omega_DT = (2/DT)*asin(DT*omega0/2), from u[n+1]-2u[n]+u[n-1] = -DT^2*omega0^2*u[n]", "angularFrequencyDifferenceRadPerSecond": 0.011675109905354475, "phaseDifferenceOverFullRecordRad": 0.28019918189597537, "limitation": "Treats difference peak as an approximate undamped oscillator frequency; mesh eigenvalues, source excitation and boundary damping not measured, so this cannot prove the observed cause." } }, { "component": "Y", "rawComparisonEvenSampleNoInterpolation": { "relativeL2Percent": 1.5960460270854013, "rmsDifference": 2.9928495351564184e-06, "correlation": 0.9998726251904904 }, "maxPairedTimeDifferenceSeconds": 0.0, "maxInterpolationVsExactEvenSampleDifferenceMps2": 0.0, "rawAccelerationDifferenceVsDifferenceOfVelocityDerivatives": { "relativeL2Percent": 0.7445312789551335, "rmsDifference": 2.2284329180530907e-08, "correlation": 0.999973275821084 }, "spectralDiagnostics": [ { "treatment": "raw-rectangular", "frequencyBinHz": 0.041664059190962305, "nyquistHz": 278.0867630700779, "bands": [ { "lowerHzInclusive": 0, "upperHz": 1.1280739363182686, "bins": 28, "differenceEnergyFraction": 2.1644897305885308e-06, "referenceEnergyFraction": 0.9892902773299632, "spectralRelativeL2Percent": 0.002360811466347401 }, { "lowerHzInclusive": 1.1280739363182686, "upperHz": 5, "bins": 93, "differenceEnergyFraction": 0.00446002367554156, "referenceEnergyFraction": 0.0004917201978191365, "spectralRelativeL2Percent": 4.80678801542097 }, { "lowerHzInclusive": 5, "upperHz": 10, "bins": 120, "differenceEnergyFraction": 0.9305309881575593, "referenceEnergyFraction": 0.010163629396924462, "spectralRelativeL2Percent": 15.271666143858036 }, { "lowerHzInclusive": 10, "upperHz": 20, "bins": 240, "differenceEnergyFraction": 0.06499452885249175, "referenceEnergyFraction": 5.3954449921825096e-05, "spectralRelativeL2Percent": 55.394950269999775 }, { "lowerHzInclusive": 20, "upperHz": 278.0867630700779, "bins": 6194, "differenceEnergyFraction": 1.2294824676708867e-05, "referenceEnergyFraction": 4.186253714206211e-07, "spectralRelativeL2Percent": 8.649555876547693 } ], "differenceEnergyAboveNominalMeshFrequencyFraction": 0.9999978355102692, "referenceEnergyAboveNominalMeshFrequencyFraction": 0.010709722670036845, "separatedDominantDifferenceBins": [ { "frequencyHz": 9.166093022011706, "differenceEnergyBinFraction": 0.10230926780831402 }, { "frequencyHz": 9.832717969067104, "differenceEnergyBinFraction": 0.052277064141177464 }, { "frequencyHz": 8.624460252529197, "differenceEnergyBinFraction": 0.04955864408024463 }, { "frequencyHz": 8.832780548484008, "differenceEnergyBinFraction": 0.04741784432696899 }, { "frequencyHz": 10.041038265021916, "differenceEnergyBinFraction": 0.03267079595100277 } ] }, { "treatment": "linear-detrend-Hann", "frequencyBinHz": 0.041664059190962305, "nyquistHz": 278.0867630700779, "bands": [ { "lowerHzInclusive": 0, "upperHz": 1.1280739363182686, "bins": 28, "differenceEnergyFraction": 8.216455915274878e-08, "referenceEnergyFraction": 0.991593838589994, "spectralRelativeL2Percent": 0.0003137498933294497 }, { "lowerHzInclusive": 1.1280739363182686, "upperHz": 5, "bins": 93, "differenceEnergyFraction": 0.0047219342537342885, "referenceEnergyFraction": 0.000307395842353692, "spectralRelativeL2Percent": 4.271881580284001 }, { "lowerHzInclusive": 5, "upperHz": 10, "bins": 120, "differenceEnergyFraction": 0.9787393518321206, "referenceEnergyFraction": 0.008087954031791113, "spectralRelativeL2Percent": 11.990089361099617 }, { "lowerHzInclusive": 10, "upperHz": 20, "bins": 240, "differenceEnergyFraction": 0.016538631749584542, "referenceEnergyFraction": 1.0811535861430102e-05, "spectralRelativeL2Percent": 42.62990098647484 }, { "lowerHzInclusive": 20, "upperHz": 278.0867630700779, "bins": 6194, "differenceEnergyFraction": 1.4551266842785528e-15, "referenceEnergyFraction": 4.3467775384442926e-17, "spectralRelativeL2Percent": 6.306304360938202 } ], "differenceEnergyAboveNominalMeshFrequencyFraction": 0.999999917835441, "referenceEnergyAboveNominalMeshFrequencyFraction": 0.008406161410006278, "separatedDominantDifferenceBins": [ { "frequencyHz": 9.124428962820744, "differenceEnergyBinFraction": 0.12278274503905715 }, { "frequencyHz": 8.624460252529197, "differenceEnergyBinFraction": 0.050862074686455136 }, { "frequencyHz": 5.541319872397986, "differenceEnergyBinFraction": 0.03500690494160194 }, { "frequencyHz": 8.832780548484008, "differenceEnergyBinFraction": 0.027359337681960014 }, { "frequencyHz": 9.791053909876142, "differenceEnergyBinFraction": 0.018011839792771395 } ] } ], "temporalDiagnostics": { "energyQuantileTimes": [ { "fraction": 0.001, "timeSeconds": -4.056986 }, { "fraction": 0.01, "timeSeconds": -1.8508400000000007 }, { "fraction": 0.1, "timeSeconds": 1.1715979999999995 }, { "fraction": 0.5, "timeSeconds": 9.88111 }, { "fraction": 0.9, "timeSeconds": 15.339838 }, { "fraction": 0.99, "timeSeconds": 15.866651999999998 } ], "fourSecondWindows": [ { "startSeconds": -8, "endSecondsExclusive": -4, "samples": 2225, "differenceEnergyFraction": 0.0010380470237119736, "relativeL2Percent": 4.0672686591067615, "rmsDifference": 2.3618524128800046e-07, "correlation": 0.9991711804483581, "baseRmsMps2": 5.813071341829268e-06, "halfDtRmsMps2": 5.806974190386297e-06 }, { "startSeconds": -4, "endSecondsExclusive": 0, "samples": 2225, "differenceEnergyFraction": 0.04722982653290286, "relativeL2Percent": 0.7373962482707765, "rmsDifference": 1.5931344078899547e-06, "correlation": 0.9999399561206717, "baseRmsMps2": 0.00021606212543878376, "halfDtRmsMps2": 0.0002160486185854509 }, { "startSeconds": 0, "endSecondsExclusive": 4, "samples": 2225, "differenceEnergyFraction": 0.1468125078813097, "relativeL2Percent": 0.7347487425858606, "rmsDifference": 2.80883204317713e-06, "correlation": 0.9999725226073357, "baseRmsMps2": 0.0003822840485013223, "halfDtRmsMps2": 0.00038228470229044296 }, { "startSeconds": 4, "endSecondsExclusive": 8, "samples": 2224, "differenceEnergyFraction": 0.13217435838263106, "relativeL2Percent": 2.0619759690428365, "rmsDifference": 2.665725729779908e-06, "correlation": 0.9996688120736669, "baseRmsMps2": 0.0001292392902294203, "halfDtRmsMps2": 0.0001292801550455183 }, { "startSeconds": 8, "endSecondsExclusive": 12, "samples": 2225, "differenceEnergyFraction": 0.37018756873038233, "relativeL2Percent": 12.83836573253394, "rmsDifference": 4.460208463988073e-06, "correlation": 0.9885313108142622, "baseRmsMps2": 3.481587869958667e-05, "halfDtRmsMps2": 3.474124788862632e-05 }, { "startSeconds": 12, "endSecondsExclusive": 16, "samples": 2225, "differenceEnergyFraction": 0.3025576914490619, "relativeL2Percent": 28.973383482213833, "rmsDifference": 4.032258268093193e-06, "correlation": 0.9462306464194777, "baseRmsMps2": 1.3734590803279418e-05, "halfDtRmsMps2": 1.3917112133515627e-05 } ], "maxAbsDifference": 1.5808042362113205e-05, "maxAbsDifferenceTimeSeconds": 11.981174, "firstFiveSamples": { "timeSeconds": [ -8.0, -7.998202, -7.996404, -7.994606, -7.992808 ], "baseMps2": [ 0.0, 0.0, 0.0, 0.0, 0.0 ], "halfDtMps2": [ 0.0, 0.0, 0.0, 5.042019692637098e-39, 4.6911651084915295e-37 ] }, "lastFiveSamples": { "timeSeconds": [ 15.992511999999998, 15.994309999999999, 15.996108, 15.997906, 15.999703999999998 ], "baseMps2": [ 1.0583828678818823e-05, 1.074571014028499e-05, 1.0930697548899991e-05, 1.1140133756336634e-05, 1.137472265268383e-05 ], "halfDtMps2": [ 1.2258355673670065e-05, 1.2192336766825253e-05, 1.2130622337157416e-05, 1.2078165580871802e-05, 1.2039401804084694e-05 ] } }, "temporalDispersionHeuristic": { "status": "ILLUSTRATION_NOT_CAUSAL_IDENTIFICATION", "assumedContinuousOscillatorFrequencyHz": 9.124428962820744, "formula": "omega_DT = (2/DT)*asin(DT*omega0/2), from u[n+1]-2u[n]+u[n-1] = -DT^2*omega0^2*u[n]", "angularFrequencyDifferenceRadPerSecond": 0.019064947222126705, "phaseDifferenceOverFullRecordRad": 0.4575530901066631, "limitation": "Treats difference peak as an approximate undamped oscillator frequency; mesh eigenvalues, source excitation and boundary damping not measured, so this cannot prove the observed cause." } }, { "component": "Z", "rawComparisonEvenSampleNoInterpolation": { "relativeL2Percent": 24.258916788101985, "rmsDifference": 1.188602615198029e-05, "correlation": 0.9705634547487882 }, "maxPairedTimeDifferenceSeconds": 0.0, "maxInterpolationVsExactEvenSampleDifferenceMps2": 0.0, "rawAccelerationDifferenceVsDifferenceOfVelocityDerivatives": { "relativeL2Percent": 0.5361727424296767, "rmsDifference": 6.37273153391123e-08, "correlation": 0.9999873190750964 }, "spectralDiagnostics": [ { "treatment": "raw-rectangular", "frequencyBinHz": 0.041664059190962305, "nyquistHz": 278.0867630700779, "bands": [ { "lowerHzInclusive": 0, "upperHz": 1.1280739363182686, "bins": 28, "differenceEnergyFraction": 3.723796673429739e-07, "referenceEnergyFraction": 0.6392966601960592, "spectralRelativeL2Percent": 0.018514550252110795 }, { "lowerHzInclusive": 1.1280739363182686, "upperHz": 5, "bins": 93, "differenceEnergyFraction": 0.00011956257820837698, "referenceEnergyFraction": 0.0041166385933061045, "spectralRelativeL2Percent": 4.134258899188313 }, { "lowerHzInclusive": 5, "upperHz": 10, "bins": 120, "differenceEnergyFraction": 0.951163743342146, "referenceEnergyFraction": 0.3477802840431498, "spectralRelativeL2Percent": 40.11867393195382 }, { "lowerHzInclusive": 10, "upperHz": 20, "bins": 240, "differenceEnergyFraction": 0.04833791063299918, "referenceEnergyFraction": 0.008784062302476307, "spectralRelativeL2Percent": 56.90725512971127 }, { "lowerHzInclusive": 20, "upperHz": 278.0867630700779, "bins": 6194, "differenceEnergyFraction": 0.00037841106697899325, "referenceEnergyFraction": 2.23548650082531e-05, "spectralRelativeL2Percent": 99.80844596072012 } ], "differenceEnergyAboveNominalMeshFrequencyFraction": 0.9999996276203326, "referenceEnergyAboveNominalMeshFrequencyFraction": 0.3607033398039404, "separatedDominantDifferenceBins": [ { "frequencyHz": 9.832717969067104, "differenceEnergyBinFraction": 0.26817453715461564 }, { "frequencyHz": 9.541069554730369, "differenceEnergyBinFraction": 0.041220891537199905 }, { "frequencyHz": 10.041038265021916, "differenceEnergyBinFraction": 0.01448239024134807 }, { "frequencyHz": 9.166093022011706, "differenceEnergyBinFraction": 0.014030567343473261 }, { "frequencyHz": 8.624460252529197, "differenceEnergyBinFraction": 0.01077630504557597 } ] }, { "treatment": "linear-detrend-Hann", "frequencyBinHz": 0.041664059190962305, "nyquistHz": 278.0867630700779, "bands": [ { "lowerHzInclusive": 0, "upperHz": 1.1280739363182686, "bins": 28, "differenceEnergyFraction": 5.706487101068346e-09, "referenceEnergyFraction": 0.7973656979289073, "spectralRelativeL2Percent": 0.0011218944774300003 }, { "lowerHzInclusive": 1.1280739363182686, "upperHz": 5, "bins": 93, "differenceEnergyFraction": 0.00016847018541924424, "referenceEnergyFraction": 0.0019549605126230178, "spectralRelativeL2Percent": 3.89304027479623 }, { "lowerHzInclusive": 5, "upperHz": 10, "bins": 120, "differenceEnergyFraction": 0.9833884558067804, "referenceEnergyFraction": 0.1990763495845039, "spectralRelativeL2Percent": 29.474678940834476 }, { "lowerHzInclusive": 10, "upperHz": 20, "bins": 240, "differenceEnergyFraction": 0.016443068301299196, "referenceEnergyFraction": 0.0016029919739654413, "spectralRelativeL2Percent": 42.4738981234156 }, { "lowerHzInclusive": 20, "upperHz": 278.0867630700779, "bins": 6194, "differenceEnergyFraction": 1.3979402746723131e-14, "referenceEnergyFraction": 5.27510676094561e-16, "spectralRelativeL2Percent": 68.26923657297452 } ], "differenceEnergyAboveNominalMeshFrequencyFraction": 0.999999994293513, "referenceEnergyAboveNominalMeshFrequencyFraction": 0.20263430207109287, "separatedDominantDifferenceBins": [ { "frequencyHz": 9.499405495539406, "differenceEnergyBinFraction": 0.13025088919326167 }, { "frequencyHz": 9.832717969067104, "differenceEnergyBinFraction": 0.11652369968991211 }, { "frequencyHz": 8.624460252529197, "differenceEnergyBinFraction": 0.035641207112411324 }, { "frequencyHz": 9.166093022011706, "differenceEnergyBinFraction": 0.017146241059814864 }, { "frequencyHz": 10.041038265021916, "differenceEnergyBinFraction": 0.012884539528610751 } ] } ], "temporalDiagnostics": { "energyQuantileTimes": [ { "fraction": 0.001, "timeSeconds": -1.9605180000000004 }, { "fraction": 0.01, "timeSeconds": 1.570753999999999 }, { "fraction": 0.1, "timeSeconds": 6.837095999999999 }, { "fraction": 0.5, "timeSeconds": 12.083659999999998 }, { "fraction": 0.9, "timeSeconds": 15.487274 }, { "fraction": 0.99, "timeSeconds": 15.890025999999999 } ], "fourSecondWindows": [ { "startSeconds": -8, "endSecondsExclusive": -4, "samples": 2225, "differenceEnergyFraction": 0.00011236290967862517, "relativeL2Percent": 5.8818816367975115, "rmsDifference": 3.0860824782882455e-07, "correlation": 0.9982764430965921, "baseRmsMps2": 5.258535975259687e-06, "halfDtRmsMps2": 5.246760592701275e-06 }, { "startSeconds": -4, "endSecondsExclusive": 0, "samples": 2225, "differenceEnergyFraction": 0.005321154752567144, "relativeL2Percent": 7.253277925333506, "rmsDifference": 2.1237284503863327e-06, "correlation": 0.9954906406478299, "baseRmsMps2": 2.931794246932243e-05, "halfDtRmsMps2": 2.927956811042346e-05 }, { "startSeconds": 0, "endSecondsExclusive": 4, "samples": 2225, "differenceEnergyFraction": 0.034987070313230444, "relativeL2Percent": 8.375049507088544, "rmsDifference": 5.445651305246412e-06, "correlation": 0.9934296158650131, "baseRmsMps2": 6.498446951473815e-05, "halfDtRmsMps2": 6.502231778614892e-05 }, { "startSeconds": 4, "endSecondsExclusive": 8, "samples": 2224, "differenceEnergyFraction": 0.134268845049933, "relativeL2Percent": 13.659982525772127, "rmsDifference": 1.0670414326154214e-05, "correlation": 0.9886836273280185, "baseRmsMps2": 7.810351724831115e-05, "halfDtRmsMps2": 7.811440685244266e-05 }, { "startSeconds": 8, "endSecondsExclusive": 12, "samples": 2225, "differenceEnergyFraction": 0.3189560127473269, "relativeL2Percent": 40.78613166190104, "rmsDifference": 1.644225718915727e-05, "correlation": 0.9169542172824906, "baseRmsMps2": 4.038736776001769e-05, "halfDtRmsMps2": 4.031335289518578e-05 }, { "startSeconds": 12, "endSecondsExclusive": 16, "samples": 2225, "differenceEnergyFraction": 0.5063545542272638, "relativeL2Percent": 52.353485051249294, "rmsDifference": 2.0716834687942617e-05, "correlation": 0.8619460465049213, "baseRmsMps2": 3.946628455106635e-05, "halfDtRmsMps2": 3.9571070899411414e-05 } ], "maxAbsDifference": 4.3646088858519753e-05, "maxAbsDifferenceTimeSeconds": 15.591558, "firstFiveSamples": { "timeSeconds": [ -8.0, -7.998202, -7.996404, -7.994606, -7.992808 ], "baseMps2": [ 0.0, 0.0, 0.0, 0.0, 0.0 ], "halfDtMps2": [ 0.0, 0.0, 0.0, 9.433188151439181e-39, 8.643634461568842e-37 ] }, "lastFiveSamples": { "timeSeconds": [ 15.992511999999998, 15.994309999999999, 15.996108, 15.997906, 15.999703999999998 ], "baseMps2": [ 1.3790291121700987e-05, 1.0366578011396218e-05, 6.934611440717805e-06, 3.5408840859670423e-06, 2.3082057006751853e-07 ], "halfDtMps2": [ 3.2933394070025985e-05, 3.0253346697018377e-05, 2.729517623894521e-05, 2.4101268493580533e-05, 2.0716577797594346e-05 ] } }, "temporalDispersionHeuristic": { "status": "ILLUSTRATION_NOT_CAUSAL_IDENTIFICATION", "assumedContinuousOscillatorFrequencyHz": 9.499405495539406, "formula": "omega_DT = (2/DT)*asin(DT*omega0/2), from u[n+1]-2u[n]+u[n-1] = -DT^2*omega0^2*u[n]", "angularFrequencyDifferenceRadPerSecond": 0.021516039863548997, "phaseDifferenceOverFullRecordRad": 0.5163785879773762, "limitation": "Treats difference peak as an approximate undamped oscillator frequency; mesh eigenvalues, source excitation and boundary damping not measured, so this cannot prove the observed cause." } } ], "sameRunDerivativeDiagnostics": [ { "runId": "base", "component": "X", "dtSeconds": 0.001798, "centralDvDtVsRawAcceleration": { "relativeL2Percent": 0.026197679589153762, "rmsDifference": 3.619896326322375e-08, "correlation": 0.9999999664024406 }, "centralDuDtVsRawVelocity": { "relativeL2Percent": 2.080438305335902e-11, "rmsDifference": 4.241856505845483e-17, "correlation": 1.0 }, "centralSecondDisplacementDerivativeVsRawAcceleration": { "relativeL2Percent": 5.814627336454648e-08, "rmsDifference": 8.034432233792252e-14, "correlation": 0.9999999999999996 }, "newmarkWeightedAccelerationIdentity": { "relativeL2Percent": 1.1180992645228538e-11, "rmsDifference": 1.544888557810839e-17, "correlation": 0.999999999999999 }, "newmarkTrapezoidalVelocityIncrementIdentity": { "relativeL2Percent": 2.207675994154122e-11, "rmsDifference": 3.0503120628900056e-17, "correlation": 1.0 }, "integerLagTests": [ { "lagSamples": -2, "lagSeconds": -0.003596, "relativeL2Percent": 2.4634986808813073, "rmsDifference": 3.4044717060894245e-06, "correlation": 0.9996965201376679 }, { "lagSamples": -1, "lagSeconds": -0.001798, "relativeL2Percent": 1.233092526704682, "rmsDifference": 1.7040928317649773e-06, "correlation": 0.9999239649824261 }, { "lagSamples": 0, "lagSeconds": 0.0, "relativeL2Percent": 0.026190128301538097, "rmsDifference": 3.619390499305975e-08, "correlation": 0.9999999664218069 }, { "lagSamples": 1, "lagSeconds": 0.001798, "relativeL2Percent": 1.2331057197594413, "rmsDifference": 1.7041130418147414e-06, "correlation": 0.9999239633352119 }, { "lagSamples": 2, "lagSeconds": 0.003596, "relativeL2Percent": 2.463595769539599, "rmsDifference": 3.404613706433531e-06, "correlation": 0.9996964957755298 } ], "bestIntegerLagSamples": 0 }, { "runId": "half-dt", "component": "X", "dtSeconds": 0.000899, "centralDvDtVsRawAcceleration": { "relativeL2Percent": 0.006545890094305432, "rmsDifference": 9.044839555956702e-09, "correlation": 0.9999999979026136 }, "centralDuDtVsRawVelocity": { "relativeL2Percent": 4.20053945579991e-11, "rmsDifference": 8.564425229119214e-17, "correlation": 1.0 }, "centralSecondDisplacementDerivativeVsRawAcceleration": { "relativeL2Percent": 2.2842829077666844e-07, "rmsDifference": 3.15632742125289e-13, "correlation": 1.0 }, "newmarkWeightedAccelerationIdentity": { "relativeL2Percent": 2.2100487397776978e-11, "rmsDifference": 3.0537246715271415e-17, "correlation": 1.0 }, "newmarkTrapezoidalVelocityIncrementIdentity": { "relativeL2Percent": 4.273877672032514e-11, "rmsDifference": 5.905328783100449e-17, "correlation": 1.0 }, "integerLagTests": [ { "lagSamples": -2, "lagSeconds": -0.001798, "relativeL2Percent": 1.233724400411062, "rmsDifference": 1.7048361915087653e-06, "correlation": 0.9999238884317992 }, { "lagSamples": -1, "lagSeconds": -0.000899, "relativeL2Percent": 0.6170419508685834, "rmsDifference": 8.526665515926345e-07, "correlation": 0.9999809610498792 }, { "lagSamples": 0, "lagSeconds": 0.0, "relativeL2Percent": 0.006545390988865991, "rmsDifference": 9.044825090109778e-09, "correlation": 0.9999999979029313 }, { "lagSamples": 1, "lagSeconds": 0.000899, "relativeL2Percent": 0.6170530525948493, "rmsDifference": 8.526820836240145e-07, "correlation": 0.9999809603647162 }, { "lagSamples": 2, "lagSeconds": 0.001798, "relativeL2Percent": 1.2338024518232023, "rmsDifference": 1.704944817470361e-06, "correlation": 0.9999238787871414 } ], "bestIntegerLagSamples": 0 }, { "runId": "base", "component": "Y", "dtSeconds": 0.001798, "centralDvDtVsRawAcceleration": { "relativeL2Percent": 0.01562413477604822, "rmsDifference": 2.929967275779809e-08, "correlation": 0.999999987908766 }, "centralDuDtVsRawVelocity": { "relativeL2Percent": 6.809589946673146e-11, "rmsDifference": 2.9164908889186764e-16, "correlation": 1.0 }, "centralSecondDisplacementDerivativeVsRawAcceleration": { "relativeL2Percent": 2.921800747410824e-07, "rmsDifference": 5.479202976017826e-13, "correlation": 0.9999999999999997 }, "newmarkWeightedAccelerationIdentity": { "relativeL2Percent": 1.836940545971696e-11, "rmsDifference": 3.444730921756681e-17, "correlation": 1.0 }, "newmarkTrapezoidalVelocityIncrementIdentity": { "relativeL2Percent": 3.554161219721e-11, "rmsDifference": 6.664757934709031e-17, "correlation": 1.0 }, "integerLagTests": [ { "lagSamples": -2, "lagSeconds": -0.003596, "relativeL2Percent": 1.5564093734841737, "rmsDifference": 2.919143873363753e-06, "correlation": 0.9998788728281834 }, { "lagSamples": -1, "lagSeconds": -0.001798, "relativeL2Percent": 0.7789482076669989, "rmsDifference": 1.4609666313700503e-06, "correlation": 0.9999696603975794 }, { "lagSamples": 0, "lagSeconds": 0.0, "relativeL2Percent": 0.015624086399596511, "rmsDifference": 2.9303965858741773e-08, "correlation": 0.9999999879088437 }, { "lagSamples": 1, "lagSeconds": 0.001798, "relativeL2Percent": 0.7789482467013099, "rmsDifference": 1.4609670702347626e-06, "correlation": 0.9999696603934375 }, { "lagSamples": 2, "lagSeconds": 0.003596, "relativeL2Percent": 1.5564102445757892, "rmsDifference": 2.9191469720061387e-06, "correlation": 0.9998788726568679 } ], "bestIntegerLagSamples": 0 }, { "runId": "half-dt", "component": "Y", "dtSeconds": 0.000899, "centralDvDtVsRawAcceleration": { "relativeL2Percent": 0.003909786878393073, "rmsDifference": 7.33190633310556e-09, "correlation": 0.9999999992428786 }, "centralDuDtVsRawVelocity": { "relativeL2Percent": 1.3644765191484552e-10, "rmsDifference": 5.843831011786837e-16, "correlation": 0.9999999999999992 }, "centralSecondDisplacementDerivativeVsRawAcceleration": { "relativeL2Percent": 1.1681904699007007e-06, "rmsDifference": 2.1906726302326625e-12, "correlation": 1.0 }, "newmarkWeightedAccelerationIdentity": { "relativeL2Percent": 3.59133680475021e-11, "rmsDifference": 6.734700823346722e-17, "correlation": 0.9999999999999999 }, "newmarkTrapezoidalVelocityIncrementIdentity": { "relativeL2Percent": 6.998163953294578e-11, "rmsDifference": 1.3123177189952967e-16, "correlation": 0.9999999999999996 }, "integerLagTests": [ { "lagSamples": -2, "lagSeconds": -0.001798, "relativeL2Percent": 0.7798817688821333, "rmsDifference": 1.4625980702520012e-06, "correlation": 0.9999695878766001 }, { "lagSamples": -1, "lagSeconds": -0.000899, "relativeL2Percent": 0.3900339138090697, "rmsDifference": 7.314735606627012e-07, "correlation": 0.999992393345722 }, { "lagSamples": 0, "lagSeconds": 0.0, "relativeL2Percent": 0.003909785164150001, "rmsDifference": 7.332451351835639e-09, "correlation": 0.9999999992428787 }, { "lagSamples": 1, "lagSeconds": 0.000899, "relativeL2Percent": 0.39003385726673606, "rmsDifference": 7.314735685253773e-07, "correlation": 0.9999923933476824 }, { "lagSamples": 2, "lagSeconds": 0.001798, "relativeL2Percent": 0.7798815550333009, "rmsDifference": 1.4625981248210754e-06, "correlation": 0.999969587887028 } ], "bestIntegerLagSamples": 0 }, { "runId": "base", "component": "Z", "dtSeconds": 0.001798, "centralDvDtVsRawAcceleration": { "relativeL2Percent": 0.1665310374731072, "rmsDifference": 8.158195563284262e-08, "correlation": 0.9999990897467592 }, "centralDuDtVsRawVelocity": { "relativeL2Percent": 3.14540144560583e-11, "rmsDifference": 1.4356024653660774e-17, "correlation": 0.9999999999999992 }, "centralSecondDisplacementDerivativeVsRawAcceleration": { "relativeL2Percent": 5.412000781777633e-08, "rmsDifference": 2.6512871976504257e-14, "correlation": 0.9999999999999994 }, "newmarkWeightedAccelerationIdentity": { "relativeL2Percent": 7.170448949323555e-12, "rmsDifference": 3.509301910360767e-18, "correlation": 1.0 }, "newmarkTrapezoidalVelocityIncrementIdentity": { "relativeL2Percent": 1.354455439773287e-11, "rmsDifference": 6.6318533054706745e-18, "correlation": 0.9999999999999996 }, "integerLagTests": [ { "lagSamples": -2, "lagSeconds": -0.003596, "relativeL2Percent": 12.472741590097813, "rmsDifference": 6.111157930139054e-06, "correlation": 0.9922130734899448 }, { "lagSamples": -1, "lagSeconds": -0.001798, "relativeL2Percent": 6.247062271172131, "rmsDifference": 3.0608264583383457e-06, "correlation": 0.9980469399781122 }, { "lagSamples": 0, "lagSeconds": 0.0, "relativeL2Percent": 0.16653069934497575, "rmsDifference": 8.159394025705306e-08, "correlation": 0.999999089758983 }, { "lagSamples": 1, "lagSeconds": 0.001798, "relativeL2Percent": 6.247194254032042, "rmsDifference": 3.0608985572647837e-06, "correlation": 0.9980468560526055 }, { "lagSamples": 2, "lagSeconds": 0.003596, "relativeL2Percent": 12.473695671596573, "rmsDifference": 6.111659571437025e-06, "correlation": 0.9922118496394626 } ], "bestIntegerLagSamples": 0 }, { "runId": "half-dt", "component": "Z", "dtSeconds": 0.000899, "centralDvDtVsRawAcceleration": { "relativeL2Percent": 0.04164373225594613, "rmsDifference": 2.0405028408346122e-08, "correlation": 0.9999999431864909 }, "centralDuDtVsRawVelocity": { "relativeL2Percent": 6.23369420860902e-11, "rmsDifference": 2.845096361029977e-17, "correlation": 1.0 }, "centralSecondDisplacementDerivativeVsRawAcceleration": { "relativeL2Percent": 2.1721787225988346e-07, "rmsDifference": 1.0643466889619499e-13, "correlation": 1.0 }, "newmarkWeightedAccelerationIdentity": { "relativeL2Percent": 1.4158351710601918e-11, "rmsDifference": 6.935759323224071e-18, "correlation": 0.9999999999999994 }, "newmarkTrapezoidalVelocityIncrementIdentity": { "relativeL2Percent": 2.7337755332224365e-11, "rmsDifference": 1.3393371060973708e-17, "correlation": 0.9999999999999998 }, "integerLagTests": [ { "lagSamples": -2, "lagSeconds": -0.001798, "relativeL2Percent": 6.250163394966747, "rmsDifference": 3.0626899270078455e-06, "correlation": 0.9980460007321087 }, { "lagSamples": -1, "lagSeconds": -0.000899, "relativeL2Percent": 3.1264193875085695, "rmsDifference": 1.5320093596654605e-06, "correlation": 0.9995111009865751 }, { "lagSamples": 0, "lagSeconds": 0.0, "relativeL2Percent": 0.041643612073393746, "rmsDifference": 2.040632587526969e-08, "correlation": 0.9999999431859252 }, { "lagSamples": 1, "lagSeconds": 0.000899, "relativeL2Percent": 3.1264219706760445, "rmsDifference": 1.5320254774023744e-06, "correlation": 0.9995110981669172 }, { "lagSamples": 2, "lagSeconds": 0.001798, "relativeL2Percent": 6.25027186993049, "rmsDifference": 3.06280259599846e-06, "correlation": 0.9980459017205647 } ], "bestIntegerLagSamples": 0 } ], "inputAndLogEvidence": { "source": "Point moment tensor, quasi-Heaviside, half duration4s, zero time shift; source element308 xi=-0.99852370573 eta=-0.57157948333 gamma=0.49273236608.", "receiver": "EVRN elastic free-surface receiver, element750, gamma=1.00000000000423, output rotation identity.", "attenuation": false, "stacey": true, "pml": false, "lddrk": false, "outputSampleEveryStep": true, "actualParFileSettings": { "ATTENUATION": ".false.", "STACEY_ABSORBING_CONDITIONS": ".true.", "PML_CONDITIONS": ".false.", "USE_LDDRK": ".false.", "NTSTEP_BETWEEN_OUTPUT_SAMPLE": "1" }, "sourceTimeFunctionDoubleFileAvailableLocally": false, "note": "Actual double STF output not downloaded; no assertion about a measured double source spectrum. Source proximity to element face is descriptive, not proof of artifact." }, "sourceEvidence": [ { "url": "https://github.com/SPECFEM/specfem3d/blob/7a1c76454396f8dd2f5a67ea524ca372e2c91993/src/specfem3D/update_displacement_scheme.f90#L28-L37", "finding": "Official explicit Newmark recurrence gives the velocity and displacement consistency identities used here." }, { "url": "https://github.com/SPECFEM/specfem3d/blob/7a1c76454396f8dd2f5a67ea524ca372e2c91993/src/specfem3D/write_seismograms.f90", "finding": "Receiver quantities share recorded sample times; numerical diagnostics independently test potential integer-sample mismatch." } ], "evidenceVsHypotheses": [ { "statement": "Measured double-precision acceleration sensitivity remains 1.596–24.259% L2 between two DT values.", "type": "EVIDENCE", "implication": "The double build alone does not establish acceleration convergence." }, { "statement": "Exact even-index half-DT sampling reproduces the interpolation comparison; native output times align to less than1e-12s. Receiver traces satisfy Newmark velocity and displacement identities to numerical roundoff.", "type": "EVIDENCE", "implication": "A simple interpolation, ASCII second-derivative or integer-sample output mismatch is disfavoured. This checks consistency, not continuum accuracy." }, { "statement": "Spectral energy partitions and derivative identities are reported per component below; high-frequency difference can coexist with much closer displacement.", "type": "EVIDENCE", "implication": "Derivative amplification must be considered; disagreement is not judged by displacement alone." }, { "statement": "Temporal phase dispersion of high-frequency spatial modes can accumulate over this record under explicit Newmark.", "type": "HYPOTHESIS_NOT_PROVEN", "support": "Raw error energy grows late and clusters around7.75–9.50Hz; the undamped oscillator heuristic below permits appreciable phase separation at these frequencies even for these small DT values.", "test": "Third DT at same mesh, fixed input and double precision; compare raw error-ratio spectra and phase growth. A dt-squared ratio would support temporal truncation but would not validate those spatial modes." }, { "statement": "Spatial modes/ringing from a point source and coarse mesh, including source near an element face, may contribute.", "type": "HYPOTHESIS_NOT_PROVEN", "test": "Matched spatial refinement holding physical source, receiver, domain, materials, boundary prescription, duration and DT pair constant; inspect raw spectra and nominal mesh-band change." }, { "statement": "Source startup and nearby absorbing boundaries may contribute to late high-frequency response.", "type": "HYPOTHESIS_NOT_PROVEN", "test": "Separate controlled source-start-time or boundary-distance experiment after temporal/spatial controls; do not change both simultaneously." }, { "statement": "Two DT values cannot establish asymptotic error order or which waveform is closer to the continuum solution.", "type": "LIMITATION", "test": "A third DT at unchanged mesh/precision supplies a ratio check; residual outside mesh bandwidth still needs spatial refinement." } ], "nextDiscriminatingChecksProposedNotExecuted": [ "Third double DT at fixed mesh and physical inputs; compare all nine raw traces and error-ratio spectra with these same definitions, without choosing a pass band after inspecting results.", "Spatial refinement with a matched temporal pair and regenerated mesh/databases; hold event, materials, source support, receiver, boundaries and duration fixed, and report both raw and nominal-band diagnostics.", "Only then isolate source startup or boundary-distance effects with one-factor controls if high-frequency discrepancy remains." ], "limitations": [ "No measured waveform or regional geology validation; no PGA or amplitude validity claim.", "Nominal mesh resolution is a solver criterion, not proof that all sub-cutoff frequencies are accurate or that higher frequencies are physical.", "Finite 24s record: rectangular and tapered spectra have leakage/window effects; the band metrics cannot replace full raw comparisons.", "No new analytic benchmark executed by this audit; parent independently evaluates double build benchmark.", "Constant rho2600 and half-duration4s remain assumptions; no intrinsic attenuation Q." ], "reproduction": { "script": "work/analyse_etna_double_acceleration.py", "numpyVersion": "2.5.3", "scriptSha256": "e5f80978c17f941fb8a5e48432c8bbd50f3a65538e414cd5f831123d61347946", "provenanceHelperScript": "work/analyse_etna_precision.py", "provenanceHelperSha256": "45efd11c57e781b4ca237e7325c8fdbbce97f979e7d0e811f4f6ef10054b967c", "inputsReadOnly": true }, "protectedExistingReports": [ { "name": "etna-preflight.json", "sha256": "a77291d65c8be5abacc8528d817f4e5af0c049648ee1f3e54bb292a040cb1810", "unchanged": true }, { "name": "etna-precision.json", "sha256": "fbb584d96d99c3d290f1d30fec70104f99fe7dec399b99e27481b2a8348f2081", "unchanged": true }, { "name": "acceleration-audit.json", "sha256": "a50ed86a8cf83ee1b3812a532517aa97947b6eda1e349697c70b2763a9adcb7c", "unchanged": true } ] }