### Abstract

In paper two the effects of log transmissivity and hydraulic head data on conditional predictions of concentration due to instantaneous point and nonpoint sources are examined. In this paper the same approach is used directly to estimate mass flow rate across a "compliance surface', cumulative mass release, and the probability distribution of travel times across this surface and the associated uncertainty. Contrary to some other methods in the literature, the approach requires neither a special theory for travel times nor a prior assumption about their probability distribution. It is shown how one can compute explicitly the second spatial moment of the conditional mean plume about its center of mass, the conditional mean second spatial moment of the actual plume about its center of mass, and the conditional covariance of the plume center of mass. These quantities and the effect of conditioning on some of them are illustrated by considering instantaneous point, line, and area sources in a two-dimensional, statistically homogeneous, isotropic, mildly varying log transmissivity field under uniform prior (unconditional) mean flow. -from Authors

Original language | English (US) |
---|---|

Pages (from-to) | 65-75 |

Number of pages | 11 |

Journal | Water Resources Research |

Volume | 31 |

Issue number | 1 |

State | Published - 1995 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Aquatic Science
- Environmental Science(all)
- Environmental Chemistry
- Water Science and Technology

### Cite this

**Eulerian-Lagrangian analysis of transport conditioned on hydraulic data 3. Spatial moments, travel time distribution, mass flow rate, and cumulative release across a compliance surface.** / Dongxiao Zhang, Zhang; Neuman, Shlomo P.

Research output: Contribution to journal › Article

*Water Resources Research*, vol. 31, no. 1, pp. 65-75.

}

TY - JOUR

T1 - Eulerian-Lagrangian analysis of transport conditioned on hydraulic data 3. Spatial moments, travel time distribution, mass flow rate, and cumulative release across a compliance surface

AU - Dongxiao Zhang, Zhang

AU - Neuman, Shlomo P

PY - 1995

Y1 - 1995

N2 - In paper two the effects of log transmissivity and hydraulic head data on conditional predictions of concentration due to instantaneous point and nonpoint sources are examined. In this paper the same approach is used directly to estimate mass flow rate across a "compliance surface', cumulative mass release, and the probability distribution of travel times across this surface and the associated uncertainty. Contrary to some other methods in the literature, the approach requires neither a special theory for travel times nor a prior assumption about their probability distribution. It is shown how one can compute explicitly the second spatial moment of the conditional mean plume about its center of mass, the conditional mean second spatial moment of the actual plume about its center of mass, and the conditional covariance of the plume center of mass. These quantities and the effect of conditioning on some of them are illustrated by considering instantaneous point, line, and area sources in a two-dimensional, statistically homogeneous, isotropic, mildly varying log transmissivity field under uniform prior (unconditional) mean flow. -from Authors

AB - In paper two the effects of log transmissivity and hydraulic head data on conditional predictions of concentration due to instantaneous point and nonpoint sources are examined. In this paper the same approach is used directly to estimate mass flow rate across a "compliance surface', cumulative mass release, and the probability distribution of travel times across this surface and the associated uncertainty. Contrary to some other methods in the literature, the approach requires neither a special theory for travel times nor a prior assumption about their probability distribution. It is shown how one can compute explicitly the second spatial moment of the conditional mean plume about its center of mass, the conditional mean second spatial moment of the actual plume about its center of mass, and the conditional covariance of the plume center of mass. These quantities and the effect of conditioning on some of them are illustrated by considering instantaneous point, line, and area sources in a two-dimensional, statistically homogeneous, isotropic, mildly varying log transmissivity field under uniform prior (unconditional) mean flow. -from Authors

UR - http://www.scopus.com/inward/record.url?scp=0028975074&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028975074&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0028975074

VL - 31

SP - 65

EP - 75

JO - Water Resources Research

JF - Water Resources Research

SN - 0043-1397

IS - 1

ER -