{"abstract":"Radii are 6.3 times too large and stress drops 250 times too small.","category":"Seismic magnitude estimation","checks":8,"contract":"Seismic moment N*m, corner frequency Hz, shear velocity km/s; non-positive input returns None. r = 2.34 beta / (2 pi fc) in m; stress drop = 7/16 M0 / r^3 Pa. Return [r rounded 0.1 m, stress drop in MPa rounded 0.001].","contract_signature":"m0_nm, fc_hz, beta_kms","evaluation_group":"w2-seismic_magnitude_estimation-brune-stress-drop","failed_approach":"Using pi instead of 2 pi doubles the radius.","family":"w2-seismic_magnitude_estimation-brune-stress-drop-angular-corner-frequency","id":"FA-71681","implementations":{"attempt":{"sha256":"85d6bed8f5efc5fa7508cc39be32ebd07b31bab8ac75fadb9df6dd05d3c56328","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nN = 1\nobservations = []\ndef solve(m0_nm, fc_hz, beta_kms):\n    if min(m0_nm, fc_hz, beta_kms) <= 0:\n        return None\n    r = 2.34 * beta_kms * 1000.0 / (math.pi * fc_hz)\n    ds = 7.0 / 16.0 * m0_nm / r ** 3\n    return [round(r, 1), round(ds / 1e6, 3)]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[['M0 1.0e+12 fc 0.5 beta 3.2', [1000000000000.0, 0.5, 3.2], [2383.5, 0.0]], ['M0 1.0e+12 fc 0.5 beta 3.5', [1000000000000.0, 0.5, 3.5], [2607.0, 0.0]], ['M0 1.0e+12 fc 2.0 beta 3.2', [1000000000000.0, 2.0, 3.2], [595.9, 0.002]], ['M0 1.0e+12 fc 2.0 beta 3.5', [1000000000000.0, 2.0, 3.5], [651.7, 0.002]], ['M0 1.0e+12 fc 10.0 beta 3.2', [1000000000000.0, 10.0, 3.2], [119.2, 0.258]], ['M0 1.0e+12 fc 10.0 beta 3.5', [1000000000000.0, 10.0, 3.5], [130.3, 0.198]], ['M0 3.5e+14 fc 0.5 beta 3.2', [350000000000000.0, 0.5, 3.2], [2383.5, 0.011]], ['M0 3.5e+14 fc 0.5 beta 3.5', [350000000000000.0, 0.5, 3.5], [2607.0, 0.009]]], [['M0 1.0e+12 fc 2.0 beta 3.5', [1000000000000.0, 2.0, 3.5], [651.7, 0.002]], ['M0 3.5e+14 fc 0.5 beta 3.2', [350000000000000.0, 0.5, 3.2], [2383.5, 0.011]], ['M0 3.5e+14 fc 0.5 beta 3.5', [350000000000000.0, 0.5, 3.5], [2607.0, 0.009]], ['M0 3.5e+14 fc 2.0 beta 3.2', [350000000000000.0, 2.0, 3.2], [595.9, 0.724]], ['M0 3.5e+14 fc 2.0 beta 3.5', [350000000000000.0, 2.0, 3.5], [651.7, 0.553]], ['M0 3.5e+14 fc 10.0 beta 3.2', [350000000000000.0, 10.0, 3.2], [119.2, 90.467]], ['M0 3.5e+14 fc 10.0 beta 3.5', [350000000000000.0, 10.0, 3.5], [130.3, 69.141]], ['M0 2.0e+17 fc 0.5 beta 3.2', [2e+17, 0.5, 3.2], [2383.5, 6.462]]], [['M0 1.0e+12 fc 0.5 beta 3.2', [1000000000000.0, 0.5, 3.2], [2383.5, 0.0]], ['M0 3.5e+14 fc 0.5 beta 3.2', [350000000000000.0, 0.5, 3.2], [2383.5, 0.011]], ['M0 3.5e+14 fc 10.0 beta 3.5', [350000000000000.0, 10.0, 3.5], [130.3, 69.141]], ['M0 2.0e+17 fc 2.0 beta 3.2', [2e+17, 2.0, 3.2], [595.9, 413.562]], ['M0 2.0e+17 fc 2.0 beta 3.5', [2e+17, 2.0, 3.5], [651.7, 316.072]], ['M0 2.0e+17 fc 10.0 beta 3.2', [2e+17, 10.0, 3.2], [119.2, 51695.192]], ['M0 2.0e+17 fc 10.0 beta 3.5', [2e+17, 10.0, 3.5], [130.3, 39508.992]], ['zero corner', [100000000000000.0, 0, 3.5], None]], [['M0 1.0e+12 fc 2.0 beta 3.2', [1000000000000.0, 2.0, 3.2], [595.9, 0.002]], ['M0 1.0e+12 fc 2.0 beta 3.5', [1000000000000.0, 2.0, 3.5], [651.7, 0.002]], ['M0 1.0e+12 fc 10.0 beta 3.2', [1000000000000.0, 10.0, 3.2], [119.2, 0.258]], ['M0 1.0e+12 fc 10.0 beta 3.5', [1000000000000.0, 10.0, 3.5], [130.3, 0.198]], ['M0 3.5e+14 fc 0.5 beta 3.2', [350000000000000.0, 0.5, 3.2], [2383.5, 0.011]], ['M0 3.5e+14 fc 0.5 beta 3.5', [350000000000000.0, 0.5, 3.5], [2607.0, 0.009]], ['M0 3.5e+14 fc 2.0 beta 3.5', [350000000000000.0, 2.0, 3.5], [651.7, 0.553]], ['M0 2.0e+17 fc 10.0 beta 3.2', [2e+17, 10.0, 3.2], [119.2, 51695.192]]], [['M0 1.0e+12 fc 2.0 beta 3.5', [1000000000000.0, 2.0, 3.5], [651.7, 0.002]], ['M0 3.5e+14 fc 2.0 beta 3.5', [350000000000000.0, 2.0, 3.5], [651.7, 0.553]], ['M0 3.5e+14 fc 10.0 beta 3.2', [350000000000000.0, 10.0, 3.2], [119.2, 90.467]], ['M0 3.5e+14 fc 10.0 beta 3.5', [350000000000000.0, 10.0, 3.5], [130.3, 69.141]], ['M0 2.0e+17 fc 0.5 beta 3.2', [2e+17, 0.5, 3.2], [2383.5, 6.462]], ['M0 2.0e+17 fc 0.5 beta 3.5', [2e+17, 0.5, 3.5], [2607.0, 4.939]], ['M0 2.0e+17 fc 2.0 beta 3.2', [2e+17, 2.0, 3.2], [595.9, 413.562]], ['M0 2.0e+17 fc 2.0 beta 3.5', [2e+17, 2.0, 3.5], [651.7, 316.072]]]]\nfor label, args, expected in fixtures[N - 1]:\n    check(label, solve(*args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"broken":{"sha256":"71e808589b63c80675ae4f9ce8e8b4384cf458f5ab25b69731dde3d995da9295","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nN = 1\nobservations = []\ndef solve(m0_nm, fc_hz, beta_kms):\n    if min(m0_nm, fc_hz, beta_kms) <= 0:\n        return None\n    r = 2.34 * beta_kms * 1000.0 / fc_hz\n    ds = 7.0 / 16.0 * m0_nm / r ** 3\n    return [round(r, 1), round(ds / 1e6, 3)]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[['M0 1.0e+12 fc 0.5 beta 3.2', [1000000000000.0, 0.5, 3.2], [2383.5, 0.0]], ['M0 1.0e+12 fc 0.5 beta 3.5', [1000000000000.0, 0.5, 3.5], [2607.0, 0.0]], ['M0 1.0e+12 fc 2.0 beta 3.2', [1000000000000.0, 2.0, 3.2], [595.9, 0.002]], ['M0 1.0e+12 fc 2.0 beta 3.5', [1000000000000.0, 2.0, 3.5], [651.7, 0.002]], ['M0 1.0e+12 fc 10.0 beta 3.2', [1000000000000.0, 10.0, 3.2], [119.2, 0.258]], ['M0 1.0e+12 fc 10.0 beta 3.5', [1000000000000.0, 10.0, 3.5], [130.3, 0.198]], ['M0 3.5e+14 fc 0.5 beta 3.2', [350000000000000.0, 0.5, 3.2], [2383.5, 0.011]], ['M0 3.5e+14 fc 0.5 beta 3.5', [350000000000000.0, 0.5, 3.5], [2607.0, 0.009]]], [['M0 1.0e+12 fc 2.0 beta 3.5', [1000000000000.0, 2.0, 3.5], [651.7, 0.002]], ['M0 3.5e+14 fc 0.5 beta 3.2', [350000000000000.0, 0.5, 3.2], [2383.5, 0.011]], ['M0 3.5e+14 fc 0.5 beta 3.5', [350000000000000.0, 0.5, 3.5], [2607.0, 0.009]], ['M0 3.5e+14 fc 2.0 beta 3.2', [350000000000000.0, 2.0, 3.2], [595.9, 0.724]], ['M0 3.5e+14 fc 2.0 beta 3.5', [350000000000000.0, 2.0, 3.5], [651.7, 0.553]], ['M0 3.5e+14 fc 10.0 beta 3.2', [350000000000000.0, 10.0, 3.2], [119.2, 90.467]], ['M0 3.5e+14 fc 10.0 beta 3.5', [350000000000000.0, 10.0, 3.5], [130.3, 69.141]], ['M0 2.0e+17 fc 0.5 beta 3.2', [2e+17, 0.5, 3.2], [2383.5, 6.462]]], [['M0 1.0e+12 fc 0.5 beta 3.2', [1000000000000.0, 0.5, 3.2], [2383.5, 0.0]], ['M0 3.5e+14 fc 0.5 beta 3.2', [350000000000000.0, 0.5, 3.2], [2383.5, 0.011]], ['M0 3.5e+14 fc 10.0 beta 3.5', [350000000000000.0, 10.0, 3.5], [130.3, 69.141]], ['M0 2.0e+17 fc 2.0 beta 3.2', [2e+17, 2.0, 3.2], [595.9, 413.562]], ['M0 2.0e+17 fc 2.0 beta 3.5', [2e+17, 2.0, 3.5], [651.7, 316.072]], ['M0 2.0e+17 fc 10.0 beta 3.2', [2e+17, 10.0, 3.2], [119.2, 51695.192]], ['M0 2.0e+17 fc 10.0 beta 3.5', [2e+17, 10.0, 3.5], [130.3, 39508.992]], ['zero corner', [100000000000000.0, 0, 3.5], None]], [['M0 1.0e+12 fc 2.0 beta 3.2', [1000000000000.0, 2.0, 3.2], [595.9, 0.002]], ['M0 1.0e+12 fc 2.0 beta 3.5', [1000000000000.0, 2.0, 3.5], [651.7, 0.002]], ['M0 1.0e+12 fc 10.0 beta 3.2', [1000000000000.0, 10.0, 3.2], [119.2, 0.258]], ['M0 1.0e+12 fc 10.0 beta 3.5', [1000000000000.0, 10.0, 3.5], [130.3, 0.198]], ['M0 3.5e+14 fc 0.5 beta 3.2', [350000000000000.0, 0.5, 3.2], [2383.5, 0.011]], ['M0 3.5e+14 fc 0.5 beta 3.5', [350000000000000.0, 0.5, 3.5], [2607.0, 0.009]], ['M0 3.5e+14 fc 2.0 beta 3.5', [350000000000000.0, 2.0, 3.5], [651.7, 0.553]], ['M0 2.0e+17 fc 10.0 beta 3.2', [2e+17, 10.0, 3.2], [119.2, 51695.192]]], [['M0 1.0e+12 fc 2.0 beta 3.5', [1000000000000.0, 2.0, 3.5], [651.7, 0.002]], ['M0 3.5e+14 fc 2.0 beta 3.5', [350000000000000.0, 2.0, 3.5], [651.7, 0.553]], ['M0 3.5e+14 fc 10.0 beta 3.2', [350000000000000.0, 10.0, 3.2], [119.2, 90.467]], ['M0 3.5e+14 fc 10.0 beta 3.5', [350000000000000.0, 10.0, 3.5], [130.3, 69.141]], ['M0 2.0e+17 fc 0.5 beta 3.2', [2e+17, 0.5, 3.2], [2383.5, 6.462]], ['M0 2.0e+17 fc 0.5 beta 3.5', [2e+17, 0.5, 3.5], [2607.0, 4.939]], ['M0 2.0e+17 fc 2.0 beta 3.2', [2e+17, 2.0, 3.2], [595.9, 413.562]], ['M0 2.0e+17 fc 2.0 beta 3.5', [2e+17, 2.0, 3.5], [651.7, 316.072]]]]\nfor label, args, expected in fixtures[N - 1]:\n    check(label, solve(*args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"}},"limitations":"Stipulated deterministic teaching model of a seismological magnitude procedure; constants and tables are fixed by the contract and no claim of agency or standards conformance is made. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.","method":"Deterministic executable model with adversarial boundary fixtures.","provenance":{"created_by":"Failure Map","dependencies":"Python standard library","family":"w2-seismic_magnitude_estimation-brune-stress-drop-angular-corner-frequency","generated_at":"2026-09-29T14:48:31.758473+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Stress drop characterises source physics and ground-motion scaling.","root_cause":"The 2 pi factor of the Brune radius is omitted.","sha256":"ccb8f2dbddee938810ea67e750b2ee968ea8f978271a622c962ca22238752892","title":"Brune source radius and stress drop: angular corner frequency · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verified":true,"visibility":"public","verification":{"attempt":{"elapsed_ms":37.814,"exit_code":1,"observations":[{"actual":[4767.0,0.0],"check":"M0 1.0e+12 fc 0.5 beta 3.2","expected":[2383.5,0.0],"passed":false},{"actual":[5213.9,0.0],"check":"M0 1.0e+12 fc 0.5 beta 3.5","expected":[2607.0,0.0],"passed":false},{"actual":[1191.8,0.0],"check":"M0 1.0e+12 fc 2.0 beta 3.2","expected":[595.9,0.002],"passed":false},{"actual":[1303.5,0.0],"check":"M0 1.0e+12 fc 2.0 beta 3.5","expected":[651.7,0.002],"passed":false},{"actual":[238.4,0.032],"check":"M0 1.0e+12 fc 10.0 beta 3.2","expected":[119.2,0.258],"passed":false},{"actual":[260.7,0.025],"check":"M0 1.0e+12 fc 10.0 beta 3.5","expected":[130.3,0.198],"passed":false},{"actual":[4767.0,0.001],"check":"M0 3.5e+14 fc 0.5 beta 3.2","expected":[2383.5,0.011],"passed":false},{"actual":[5213.9,0.001],"check":"M0 3.5e+14 fc 0.5 beta 3.5","expected":[2607.0,0.009],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"M0 1.0e+12 fc 0.5 beta 3.2\", \"actual\": [4767.0, 0.0], \"expected\": [2383.5, 0.0], \"passed\": false}, {\"check\": \"M0 1.0e+12 fc 0.5 beta 3.5\", \"actual\": [5213.9, 0.0], \"expected\": [2607.0, 0.0], \"passed\": false}, {\"check\": \"M0 1.0e+12 fc 2.0 beta 3.2\", \"actual\": [1191.8, 0.0], \"expected\": [595.9, 0.002], \"passed\": false}, {\"check\": \"M0 1.0e+12 fc 2.0 beta 3.5\", \"actual\": [1303.5, 0.0], \"expected\": [651.7, 0.002], \"passed\": false}, {\"check\": \"M0 1.0e+12 fc 10.0 beta 3.2\", \"actual\": [238.4, 0.032], \"expected\": [119.2, 0.258], \"passed\": false}, {\"check\": \"M0 1.0e+12 fc 10.0 beta 3.5\", \"actual\": [260.7, 0.025], \"expected\": [130.3, 0.198], \"passed\": false}, {\"check\": \"M0 3.5e+14 fc 0.5 beta 3.2\", \"actual\": [4767.0, 0.001], \"expected\": [2383.5, 0.011], \"passed\": false}, {\"check\": \"M0 3.5e+14 fc 0.5 beta 3.5\", \"actual\": [5213.9, 0.001], \"expected\": [2607.0, 0.009], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":38.867,"exit_code":1,"observations":[{"actual":[14976.0,0.0],"check":"M0 1.0e+12 fc 0.5 beta 3.2","expected":[2383.5,0.0],"passed":false},{"actual":[16380.0,0.0],"check":"M0 1.0e+12 fc 0.5 beta 3.5","expected":[2607.0,0.0],"passed":false},{"actual":[3744.0,0.0],"check":"M0 1.0e+12 fc 2.0 beta 3.2","expected":[595.9,0.002],"passed":false},{"actual":[4095.0,0.0],"check":"M0 1.0e+12 fc 2.0 beta 3.5","expected":[651.7,0.002],"passed":false},{"actual":[748.8,0.001],"check":"M0 1.0e+12 fc 10.0 beta 3.2","expected":[119.2,0.258],"passed":false},{"actual":[819.0,0.001],"check":"M0 1.0e+12 fc 10.0 beta 3.5","expected":[130.3,0.198],"passed":false},{"actual":[14976.0,0.0],"check":"M0 3.5e+14 fc 0.5 beta 3.2","expected":[2383.5,0.011],"passed":false},{"actual":[16380.0,0.0],"check":"M0 3.5e+14 fc 0.5 beta 3.5","expected":[2607.0,0.009],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"M0 1.0e+12 fc 0.5 beta 3.2\", \"actual\": [14976.0, 0.0], \"expected\": [2383.5, 0.0], \"passed\": false}, {\"check\": \"M0 1.0e+12 fc 0.5 beta 3.5\", \"actual\": [16380.0, 0.0], \"expected\": [2607.0, 0.0], \"passed\": false}, {\"check\": \"M0 1.0e+12 fc 2.0 beta 3.2\", \"actual\": [3744.0, 0.0], \"expected\": [595.9, 0.002], \"passed\": false}, {\"check\": \"M0 1.0e+12 fc 2.0 beta 3.5\", \"actual\": [4095.0, 0.0], \"expected\": [651.7, 0.002], \"passed\": false}, {\"check\": \"M0 1.0e+12 fc 10.0 beta 3.2\", \"actual\": [748.8, 0.001], \"expected\": [119.2, 0.258], \"passed\": false}, {\"check\": \"M0 1.0e+12 fc 10.0 beta 3.5\", \"actual\": [819.0, 0.001], \"expected\": [130.3, 0.198], \"passed\": false}, {\"check\": \"M0 3.5e+14 fc 0.5 beta 3.2\", \"actual\": [14976.0, 0.0], \"expected\": [2383.5, 0.011], \"passed\": false}, {\"check\": \"M0 3.5e+14 fc 0.5 beta 3.5\", \"actual\": [16380.0, 0.0], \"expected\": [2607.0, 0.009], \"passed\": false}], \"passed\": false}\n"}},"member_only":{"stages":["fixed"],"fields":["implementations.fixed","verification.fixed","harness","repair"],"note":"The verified repair, its recorded checks, the repair description, and the scoring harness are available to members."}}