{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:LDNCCR5OMIWGGRC76VN7AIJORZ","short_pith_number":"pith:LDNCCR5O","schema_version":"1.0","canonical_sha256":"58da2147ae622c63445ff55bf0212e8e684bed78adaf81401c08ab1c2e7d50eb","source":{"kind":"arxiv","id":"1808.09997","version":1},"attestation_state":"computed","paper":{"title":"Upscaling of Solute Transport in Heterogeneous Media with Non-uniform Flow and Dispersion Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Paul Meakin, Zhijie Xu","submitted_at":"2018-08-29T18:17:27Z","abstract_excerpt":"An analytical and computational model for non-reactive solute transport in periodic heterogeneous media with arbitrary non-uniform flow and dispersion fields within the unit cell of length {\\epsilon} is described. The model lumps the effect of non-uniform flow and dispersion into an effective advection velocity Ve and an effective dispersion coefficient De. It is shown that both Ve and De are scale-dependent (dependent on the length scale of the microscopic heterogeneity, {\\epsilon}), dependent on the P\\'eclet number Pe, and on a dimensionless parameter {\\alpha} that represents the effects of "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1808.09997","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-08-29T18:17:27Z","cross_cats_sorted":[],"title_canon_sha256":"7cb270582b57bce61457265233116bb547e842d2a0138bab949411f622ad06d0","abstract_canon_sha256":"37cddced04fc0944a2c1d2d9588d88b2b8aeb1ce1c15ff9e5cfea379c6a12389"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:50.238213Z","signature_b64":"mJFrHDtRnuhVDoylyjBcWDw4ILuT+9jk/SKkkQK7tfYdMBBrCHObxP094cWp6nXfM8JXw7XximGBB8bvumCUCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58da2147ae622c63445ff55bf0212e8e684bed78adaf81401c08ab1c2e7d50eb","last_reissued_at":"2026-05-18T00:06:50.237530Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:50.237530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Upscaling of Solute Transport in Heterogeneous Media with Non-uniform Flow and Dispersion Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Paul Meakin, Zhijie Xu","submitted_at":"2018-08-29T18:17:27Z","abstract_excerpt":"An analytical and computational model for non-reactive solute transport in periodic heterogeneous media with arbitrary non-uniform flow and dispersion fields within the unit cell of length {\\epsilon} is described. The model lumps the effect of non-uniform flow and dispersion into an effective advection velocity Ve and an effective dispersion coefficient De. It is shown that both Ve and De are scale-dependent (dependent on the length scale of the microscopic heterogeneity, {\\epsilon}), dependent on the P\\'eclet number Pe, and on a dimensionless parameter {\\alpha} that represents the effects of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.09997","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1808.09997","created_at":"2026-05-18T00:06:50.237633+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.09997v1","created_at":"2026-05-18T00:06:50.237633+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.09997","created_at":"2026-05-18T00:06:50.237633+00:00"},{"alias_kind":"pith_short_12","alias_value":"LDNCCR5OMIWG","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_16","alias_value":"LDNCCR5OMIWGGRC7","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_8","alias_value":"LDNCCR5O","created_at":"2026-05-18T12:32:37.024351+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LDNCCR5OMIWGGRC76VN7AIJORZ","json":"https://pith.science/pith/LDNCCR5OMIWGGRC76VN7AIJORZ.json","graph_json":"https://pith.science/api/pith-number/LDNCCR5OMIWGGRC76VN7AIJORZ/graph.json","events_json":"https://pith.science/api/pith-number/LDNCCR5OMIWGGRC76VN7AIJORZ/events.json","paper":"https://pith.science/paper/LDNCCR5O"},"agent_actions":{"view_html":"https://pith.science/pith/LDNCCR5OMIWGGRC76VN7AIJORZ","download_json":"https://pith.science/pith/LDNCCR5OMIWGGRC76VN7AIJORZ.json","view_paper":"https://pith.science/paper/LDNCCR5O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.09997&json=true","fetch_graph":"https://pith.science/api/pith-number/LDNCCR5OMIWGGRC76VN7AIJORZ/graph.json","fetch_events":"https://pith.science/api/pith-number/LDNCCR5OMIWGGRC76VN7AIJORZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LDNCCR5OMIWGGRC76VN7AIJORZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LDNCCR5OMIWGGRC76VN7AIJORZ/action/storage_attestation","attest_author":"https://pith.science/pith/LDNCCR5OMIWGGRC76VN7AIJORZ/action/author_attestation","sign_citation":"https://pith.science/pith/LDNCCR5OMIWGGRC76VN7AIJORZ/action/citation_signature","submit_replication":"https://pith.science/pith/LDNCCR5OMIWGGRC76VN7AIJORZ/action/replication_record"}},"created_at":"2026-05-18T00:06:50.237633+00:00","updated_at":"2026-05-18T00:06:50.237633+00:00"}