- Method for estimating a depth pressure and/or permeability profile of a geological formation , a well extending in the geological formation between a first end and a second end , said method comprising equipping the well with an inner tube extending between the first end of the well and towards the second end of the well, said tube defining an inner space and an annular space in fluid communication towards the second end of the well, wherein said method further comprises: - the annular space of the well being filled with a first fluid : performing a first well closing phase by injecting, into the inner space at the first end, a second fluid having a higher viscosity than the first fluid while extracting, from the annular space at the first end, the first fluid under a first constant pressure value in the annular space at the first end, wherein the first well closing phase comprises measuring a first temporal injection flowrate profile of the second fluid, a first temporal extraction flowrate profile of the first fluid, and a first temporal pressure profile in the inner space at the first end; - the annular space of the well being filled with the first fluid: performing a second well closing phase by injecting, into the inner space at the first end, the second fluid while extracting, from the annular space at the first end, the first fluid under a second constant pressure value in the annular space at the first end, the second constant pressure value being different from the first constant pressure value, wherein the second well closing phase comprises measuring a second temporal injection flowrate profile of the second fluid, a second temporal extraction flowrate profile of the first fluid, and a second temporal pressure profile in the inner space at the first end; - estimating the depth pressure and/or permeability profile of the geological formation based on the measurements performed during the first well closing phase and the second well closing phase. - the annular space of the well being filled with a first fluid : performing a first well closing phase by injecting, into the inner space at the first end, a second fluid having a higher viscosity than the first fluid while extracting, from the annular space at the first end, the first fluid under a first constant pressure value in the annular space at the first end, wherein the first well closing phase comprises measuring a first temporal injection flowrate profile of the second fluid, a first temporal extraction flowrate profile of the first fluid, and a first temporal pressure profile in the inner space at the first end; - the annular space of the well being filled with the first fluid: performing a second well closing phase by injecting, into the inner space at the first end, the second fluid while extracting, from the annular space at the first end, the first fluid under a second constant pressure value in the annular space at the first end, the second constant pressure value being different from the first constant pressure value, wherein the second well closing phase comprises measuring a second temporal injection flowrate profile of the second fluid, a second temporal extraction flowrate profile of the first fluid, and a second temporal pressure profile in the inner space at the first end; - estimating the depth pressure and/or permeability profile of the geological formation based on the measurements performed during the first well closing phase and the second well closing phase. <EOS>