{"paper":{"title":"Verification of reciprocity in anisotropic poroelastic wave simulation using symmetric Strang splitting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Symmetric Strang splitting preserves reciprocity to near machine precision in anisotropic poroelastic wave simulations.","cross_cats":["cs.NA","physics.flu-dyn","physics.geo-ph"],"primary_cat":"math.NA","authors_text":"Jose Carcione, Morten Jakobsen","submitted_at":"2026-05-14T08:48:20Z","abstract_excerpt":"Poroelastic wave simulations are important for many applications relating fluid flow and wave characteristics in porous rock formations. Reciprocity is a key physical property of wave propagation in porous media that is important for such applications, even when viscous dissipation is present. However, numerical poroelastic simulations often fail to reproduce reciprocal responses because the discretization does not preserve the balance between reversible wave dynamics and irreversible fluid-solid drag. To address this, we formulate the Biot equations in terms of a continuous evolution operator"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Using a symmetric second-order Strang-splitting scheme with half-step source injection and staggered pseudo-spectral discretization, we obtain cross-component reciprocity with a relative L2 misfit approaching machine precision.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The discrete operators exactly inherit the skew-adjoint property of the reversible wave subsystem and the self-adjoint non-positive property of the Darcy subsystem from the continuous evolution operator.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A symmetric second-order Strang-splitting scheme with staggered pseudo-spectral discretization for anisotropic poroelastic media achieves cross-component reciprocity to near machine precision.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Symmetric Strang splitting preserves reciprocity to near machine precision in anisotropic poroelastic wave simulations.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"2ca9ba5ebaf67a918f0af228c2b3e19a3875c686308c0b4665fe599c97668f2a"},"source":{"id":"2605.14576","kind":"arxiv","version":1},"verdict":{"id":"bd8b73a8-8db3-44d9-96d9-1c0eab522b87","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T01:31:28.332138Z","strongest_claim":"Using a symmetric second-order Strang-splitting scheme with half-step source injection and staggered pseudo-spectral discretization, we obtain cross-component reciprocity with a relative L2 misfit approaching machine precision.","one_line_summary":"A symmetric second-order Strang-splitting scheme with staggered pseudo-spectral discretization for anisotropic poroelastic media achieves cross-component reciprocity to near machine precision.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The discrete operators exactly inherit the skew-adjoint property of the reversible wave subsystem and the self-adjoint non-positive property of the Darcy subsystem from the continuous evolution operator.","pith_extraction_headline":"Symmetric Strang splitting preserves reciprocity to near machine precision in anisotropic poroelastic wave simulations."},"references":{"count":18,"sample":[{"doi":"","year":1995,"title":"Carcione, J. M., and Quiroga-Goode, G., 1995, Some aspects of the physics and numerical modeling of Biot compressional waves, J. Comput. Acous., 3, 261-280","work_id":"fc97fd55-d5b0-421f-a1b5-cf6d0b80e3d6","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1996,"title":"M., 1996, Wave propagation in anisotropic, satu- rated porous media: Plane-wave theory and numerical simula- tion:J","work_id":"30906d82-e7f7-4bfc-ac04-776895e0d57d","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2010,"title":"Carcione, J. M., C. Morency, and J. E. Santos, 2010, Computa- tional poroelasticity: A review:Geophysics, 75, 5, 75A229–75A243","work_id":"69fa8e78-d47d-460d-9452-c3451bb3f0bf","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2022,"title":"M., 2022,Wave Fields in Real Media, 4th ed.: Elsevier","work_id":"9b5ad5a4-dd56-48b8-873a-bd06757bf5dd","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.21203/rs.3.rs-","year":2025,"title":"Rfnet-4d++: Joint ob- ject reconstruction and flow estimation from 4d point clouds with cross-attention spatio-temporal features","work_id":"b1a1e72b-069c-4f6c-ba11-c1c3527be63f","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":18,"snapshot_sha256":"fd1754e3e01d46dc572b5fccecb0e45fe41abd8e73cc043b3d9001931094bc50","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"}