@article{fdi:010072455,
  title = {{A} generalized semi-analytical solution for the dispersive henry problem : effect of stratification and anisotropy on seawater intrusion},
  author = {{F}ahs, {M}. and {K}oohbor, {B}. and {B}elfort, {B}. and {A}taie-{A}shtiani, {B}. and {S}immons, {C}. {T}. and {Y}ounes, {A}nis and {A}ckerer, {P}.},
  editor = {},
  language = {{ENG}},
  abstract = {{T}he {H}enry problem ({HP}) continues to play a useful role in theoretical and practical studies related to seawater intrusion ({SWI}) into coastal aquifers. {T}he popularity of this problem is attributed to its simplicity and precision to the existence of semi-analytical ({SA}) solutions. {T}he first {SA} solution has been developed for a high uniform diffusion coefficient. {S}everal further studies have contributed more realistic solutions with lower diffusion coefficients or velocity-dependent dispersion. {A}ll the existing {SA} solutions are limited to homogenous and isotropic domains. {T}his work attempts to improve the realism of the {SA} solution of the dispersive {HP} by extending it to heterogeneous and anisotropic coastal aquifers. {T}he solution is obtained using the {F}ourier series method. {A} special hydraulic conductivity-depth model describing stratified heterogeneity is used for mathematical convenience. {A}n efficient technique is developed to solve the flow and transport equations in the spectral space. {W}ith this technique, we show that the {HP} can be solved in the spectral space with the salt concentration as primary unknown. {S}everal examples are generated, and the {SA} solutions are compared against an in-house finite element code. {T}he results provide high-quality data assessed by quantitative indicators that can be effectively used for code verification in realistic configurations of heterogeneity and anisotropy. {T}he {SA} solution is used to explain contradictory results stated in the previous works about the effect of anisotropy on the saltwater wedge. {I}t is also used to investigate the combined influence of stratification and anisotropy on relevant metrics characterizing {SWI}. {A}t a constant gravity number, anisotropy leads to landward migration of the saltwater wedge, more intense saltwater flux, a wider mixing zone and shallower groundwater discharge zone to the sea. {T}he influence of stratified heterogeneity is more pronounced in highly anisotropic aquifers. {T}he stratification rate and anisotropy have complementary effects on all {SWI} metrics, except for the depth of the discharge zone.},
  keywords = {seawater intrusion ; {H}enry problem ; {F}ourier series solution ; anisotropy ; and stratification},
  booktitle = {},
  journal = {{W}ater},
  volume = {10},
  numero = {2},
  pages = {art. 230 [23 p.]},
  ISSN = {2073-4441},
  year = {2018},
  DOI = {10.3390/w10020230},
  URL = {https://www.documentation.ird.fr/hor/fdi:010072455},
}