Item talk:Q237647
From geokb
{
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In dynamic imaging, each tomogram is typically inverted independently, under the assumption that data sets are collected quickly relative to changes in the imaged property (e.g., attenuation or velocity); however, such \u201csnapshot\u201d tomograms may contain large errors if the imaged property changes significantly during data collection. Acquisition of less data over a shorter time interval could ameliorate the problem, but the resulting decrease in ray density and angular coverage could degrade model resolution. To address these problems, we propose a new sequential approach for time\u2010lapse tomographic inversion. The method uses space\u2010time parameterization and regularization to combine data collected at multiple times and to account for temporal variation. The inverse algorithm minimizes the sum of weighted squared residuals and a measure of solution complexity based on an a priori space\u2010time covariance function and a spatiotemporally variable mean. We demonstrate our approach using a synthetic 2\u2010D time\u2010lapse (x,z,t) data set based loosely on a field experiment in which difference\u2010attenuation radar tomography was used to monitor the migration of a saline tracer in fractured rock. We quantitatively show the benefits of space\u2010time inversion by comparing results for snapshot and time\u2010lapse inversion schemes. Inversion over both space and time results in superior estimation error, model resolution, and data reproduction compared to conventional snapshot inversion. Finally, we suggest strategies to improve time\u2010lapse cross\u2010hole inversions using ray\u2010based inversion constraints and a modified survey design in which different sets of rays are collected in alternating time steps.", "description": "13 p.", "publisher": { "@type": "Organization", "name": "Society of Exploration Geophysicists" }, "author": [ { "@type": "Person", "name": "Day-Lewis, Frederick D. daylewis@usgs.gov", "givenName": "Frederick D.", "familyName": "Day-Lewis", "email": "daylewis@usgs.gov", "identifier": { "@type": "PropertyValue", "propertyID": "ORCID", "value": "0000-0003-3526-886X", "url": "https://orcid.org/0000-0003-3526-886X" }, "affiliation": [ { "@type": "Organization", "name": "WMA - Earth System Processes Division", "url": "https://www.usgs.gov/mission-areas/water-resources" }, { "@type": "Organization", "name": "OGW Branch of Geophysics", "url": "https://www.usgs.gov/mission-areas/water-resources" }, { "@type": "Organization", "name": "Office of Ground 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