{"id":"W2198422793","doi":"10.1007/s10409-015-0526-2","title":"Effect of quadratic pressure gradient term on a one-dimensional moving boundary problem based on modified Darcy’s law","year":2015,"lang":"en","type":"article","venue":"Acta Mechanica Sinica","topic":"Hydraulic Fracturing and Reservoir Analysis","field":"Engineering","cited_by":21,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"National Science and Technology Major Project; China Scholarship Council; China Postdoctoral Science Foundation; National Natural Science Foundation of China","keywords":"Pressure gradient; Darcy's law; Mathematics; Quadratic equation; Mathematical analysis; Boundary value problem; Laplace transform; Adverse pressure gradient; Flow (mathematics); Applied mathematics; Boundary (topology); Mechanics; Porous medium; Boundary layer; Physics; Geometry; Flow separation; Materials science","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008766547,0.0006611352,0.001365231,0.000485299,0.0006959251,0.001157387,0.000908211,0.001715719,0.00353729],"category_scores_gemma":[0.003004471,0.0002789441,0.0005769996,0.000333275,0.001380238,0.001087657,0.001101762,0.0009623574,0.0001632642],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003457901,"about_ca_system_score_gemma":0.000670148,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00393986,"about_ca_topic_score_gemma":0.001703494,"domain_scores_codex":[0.9997303,0.0001203733,0.00001176106,0.00003552518,0.00006056087,0.00004150404],"domain_scores_gemma":[0.9988244,0.0007500782,0.00007399414,0.00006107851,0.0001657497,0.0001247636],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0009272181,0.00041522,0.00107892,0.0005197263,0.00007075196,0.0008858803,0.0002557404,0.8449769,0.05421349,0.07340646,0.001946601,0.02130317],"study_design_scores_gemma":[0.0000260683,0.00005689748,0.0002477149,0.000005748886,0.000008422116,0.00002432374,0.00001883585,0.9961823,0.001964768,0.001273798,0.0001814294,0.000009734596],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6503696,0.00106625,0.3197833,0.00157986,0.0007703706,0.0001168234,0.0000782125,0.0005333046,0.02570226],"genre_scores_gemma":[0.9677151,0.0002440636,0.02488015,0.0001396254,0.00006744743,0.00003348642,0.00004494245,0.0001735432,0.006701635],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00393986,"threshold_uncertainty_score":0.01183343,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0141514136240151,"score_gpt":0.2380250059951781,"score_spread":0.223873592371163,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}